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Siginer" border="0" onerror="if (this.src != '//a.academia-assets.com/images/s200_no_pic.png') this.src = '//a.academia-assets.com/images/s200_no_pic.png';" width="200" height="200" src="https://0.academia-photos.com/33969261/11229757/12529882/s200_dennis.siginer.jpg" /></div><div class="title-container"><h1 class="ds2-5-heading-sans-serif-sm">Dennis A . Siginer</h1><div class="affiliations-container fake-truncate js-profile-affiliations"><div><a class="u-tcGrayDarker" href="https://usach.academia.edu/">Universidad de Santiago de Chile</a>, <a class="u-tcGrayDarker" href="https://usach.academia.edu/Departments/Departamento_de_Ingenier%C3%ADa_Mec%C3%A1nica/Documents">Departamento de Ingeniería Mecánica</a>, <span class="u-tcGrayDarker">Faculty Member</span></div></div></div></div><div class="sidebar-cta-container"><button class="ds2-5-button hidden profile-cta-button grow js-profile-follow-button" data-broccoli-component="user-info.follow-button" data-click-track="profile-user-info-follow-button" data-follow-user-fname="Dennis" data-follow-user-id="33969261" data-follow-user-source="profile_button" data-has-google="false"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">add</span>Follow</button><button class="ds2-5-button hidden profile-cta-button grow js-profile-unfollow-button" data-broccoli-component="user-info.unfollow-button" data-click-track="profile-user-info-unfollow-button" data-unfollow-user-id="33969261"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">done</span>Following</button></div></div><div class="user-stats-container"><a><div class="stat-container js-profile-followers"><p class="label">Followers</p><p class="data">269</p></div></a><a><div class="stat-container js-profile-followees" data-broccoli-component="user-info.followees-count" data-click-track="profile-expand-user-info-following"><p class="label">Following</p><p class="data">18</p></div></a><a><div class="stat-container js-profile-coauthors" data-broccoli-component="user-info.coauthors-count" data-click-track="profile-expand-user-info-coauthors"><p class="label">Co-authors</p><p class="data">23</p></div></a><a href="/DennisSiginer/mentions"><div class="stat-container"><p class="label">Mentions</p><p class="data">1</p></div></a><span><div class="stat-container"><p class="label"><span class="js-profile-total-view-text">Public Views</span></p><p class="data"><span class="js-profile-view-count"></span></p></div></span></div><div class="user-bio-container"><div class="profile-bio fake-truncate js-profile-about" style="margin: 0px;">Presently serves as Distinguished Research Professor at the Universidad de Santiago de Chile in Santiago, Chile. <br />Previously served as Provost & Senior Deputy Vice Chancellor and Distinguished University Professor at the Botswana International University of Science and Technology in Botswana, which he was pivotal in building from the ground up, and concurrently to his position in Botswana served as Distinguished Research Professor at the Universidad de Santiago de Chile in Santiago, Chile. Prior to that he was Distinguished University Professor of Mechanical Engineering and Mathematics at the Petroleum Institute in Abu Dhabi (now Khalifa University), United Arab Emirates, where he also served as Acting President, Vice President and Dean of the College of Arts and Sciences, which he established as the Founding Dean. Earlier he served as Dean of the College of Engineering at Wichita State University in Wichita, Kansas, USA, Chair of the Mechanical Engineering Department at the New Jersey Institute of Technology in Newark, New Jersey and Professor of Mechanical Engineering at Auburn University in Alabama, USA, and held several visiting positions in France, Japan, Korea, Chile, Brazil, Malaysia, Czech Academy of Sciences, the Russian Academy of Sciences, and NASA. Dr. Siginer holds a PhD from the University of Minnesota, Twin Cities granted in 1982 and a DSc awarded by the Technical University of Istanbul in 1971.<br /><span class="u-fw700">Supervisors: </span>Daniel D. Joseph, Regents Professor Emeritus at the University of Minnesota, Twin Cities, Minneapolis, Minnesota, USA (deceased) for PhD in 1982 and Kazim Cecen, Professor Emeritus at the Technical University of Istanbul, Istanbul, Turkey (deceased) for DSc in 1971<br /><b>Address: </b>Departamento de Ingeniería Mecánica <br />Universidad de Santiago de Chile<br />Avenida Libertador Bernardo O'Higgins No. 3363<br />Estación Central<br />Santiago, Chile<br /><div class="js-profile-less-about u-linkUnstyled u-tcGrayDarker u-textDecorationUnderline u-displayNone">less</div></div></div><div class="suggested-academics-container"><div class="suggested-academics--header"><p class="ds2-5-body-md-bold">Related Authors</p></div><ul class="suggested-user-card-list"><div class="suggested-user-card"><div class="suggested-user-card__avatar social-profile-avatar-container"><a href="https://independent.academia.edu/SXin1"><img class="profile-avatar u-positionAbsolute" border="0" alt="" src="//a.academia-assets.com/images/s200_no_pic.png" /></a></div><div class="suggested-user-card__user-info"><a class="suggested-user-card__user-info__header ds2-5-body-sm-bold ds2-5-body-link" href="https://independent.academia.edu/SXin1">S. 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backbone-social-profile-documents" style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by Dennis A . Siginer</h3></div><div class="js-work-strip profile--work_container" data-work-id="117249914"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/117249914/PLA_Crystallization_Kinetics_and_Morphology_Development"><img alt="Research paper thumbnail of PLA Crystallization Kinetics and Morphology Development" class="work-thumbnail" src="https://attachments.academia-assets.com/113156612/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/117249914/PLA_Crystallization_Kinetics_and_Morphology_Development">PLA Crystallization Kinetics and Morphology Development</a></div><div class="wp-workCard_item"><span>International Polymer Processing</span><span>, 2018</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This paper investigates the crystallization kinetics and morphology development of PLA. The trans...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper investigates the crystallization kinetics and morphology development of PLA. The transitory stages in the evolving flow-induced crystallization of PLA are identified and classified in terms of the overall crystallization kinetics and the crystalline morphologies. Under quiescent conditions, temperature governs the crystallization process and the slow crystallization kinetics of PLA is highlighted under these conditions, whereas under shearing conditions, the crystallization is highly enhanced due to the promotion of the nucleation mechanism. The enhancement of the crystallization implies also morphological modifications. Depending on the shear rate and the shearing time the microstructure changes dramatically: spherulitic microstructure, fine grained microstructure and oriented microstructure. For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4be714ec84939083353c31ee1f4c6179" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156612,"asset_id":117249914,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156612/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249914"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249914"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249914; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249914]").text(description); $(".js-view-count[data-work-id=117249914]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249914; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249914']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249914, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "4be714ec84939083353c31ee1f4c6179" } } $('.js-work-strip[data-work-id=117249914]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249914,"title":"PLA Crystallization Kinetics and Morphology Development","translated_title":"","metadata":{"abstract":"This paper investigates the crystallization kinetics and morphology development of PLA. 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For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","publisher":"Walter de Gruyter GmbH","ai_title_tag":"Kinetics and Morphology of PLA Crystallization Dynamics","publication_date":{"day":null,"month":null,"year":2018,"errors":{}},"publication_name":"International Polymer Processing"},"translated_abstract":"This paper investigates the crystallization kinetics and morphology development of PLA. The transitory stages in the evolving flow-induced crystallization of PLA are identified and classified in terms of the overall crystallization kinetics and the crystalline morphologies. Under quiescent conditions, temperature governs the crystallization process and the slow crystallization kinetics of PLA is highlighted under these conditions, whereas under shearing conditions, the crystallization is highly enhanced due to the promotion of the nucleation mechanism. The enhancement of the crystallization implies also morphological modifications. Depending on the shear rate and the shearing time the microstructure changes dramatically: spherulitic microstructure, fine grained microstructure and oriented microstructure. For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","internal_url":"https://www.academia.edu/117249914/PLA_Crystallization_Kinetics_and_Morphology_Development","translated_internal_url":"","created_at":"2024-04-08T19:03:25.713-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156612,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156612/thumbnails/1.jpg","file_name":"pdf.pdf","download_url":"https://www.academia.edu/attachments/113156612/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"PLA_Crystallization_Kinetics_and_Morphol.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156612/pdf-libre.pdf?1712628631=\u0026response-content-disposition=attachment%3B+filename%3DPLA_Crystallization_Kinetics_and_Morphol.pdf\u0026Expires=1736105850\u0026Signature=e2HV8tlFtm4QNysWaddFbLuX5h4I0oDhJz6HxUSy2fVWi57HFIaAAde37XOBUKYiUzTRDUhspCpMVDBfPvw~Uwf49j6i-D2qExcr2XU98Vqb~~oycwmpQcxAESACmQWaGqrxp5Hdn05pcA4~vydwaaeDjRkLY8ht8BK8VLP4yp2bnC3k0YKnTu66zScarjAOeF5imE3FaqrIsl1Sj6kIxTGDM4s9YVXJQ7I9QSTbRn-5eaGsptMjE915CkZHL3-hkr1DkmZI4uuPhTTZQXfNkjAC7i0GN3prfOqOwslRqRN1C~FuqSXT~DOgRINmo17OM5tnma8-eLbmMegBVjnYyA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"PLA_Crystallization_Kinetics_and_Morphology_Development","translated_slug":"","page_count":9,"language":"en","content_type":"Work","summary":"This paper investigates the crystallization kinetics and morphology development of PLA. 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For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Macromolecular Symposia</span><span>, 1989</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f5755dd3bb1dff2e92a66717ec6d2084" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156660,"asset_id":117249912,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156660/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249912"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249912"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249912; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249912]").text(description); $(".js-view-count[data-work-id=117249912]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249912; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249912']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249912, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f5755dd3bb1dff2e92a66717ec6d2084" } } $('.js-work-strip[data-work-id=117249912]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249912,"title":"On the superposition of oscillatory and shear flows of viscoelastic liquids","translated_title":"","metadata":{"abstract":"Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.","publisher":"Wiley","publication_date":{"day":null,"month":null,"year":1989,"errors":{}},"publication_name":"Makromolekulare Chemie. Macromolecular Symposia"},"translated_abstract":"Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. 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Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Macromolecular Symposia</span><span>, 1989</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The shape of the free surface and the flow field of a simple fluid driven by the steadily rotatin...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The shape of the free surface and the flow field of a simple fluid driven by the steadily rotating bottom cap of a cylindrical cup is investigated. A regular domain perturbation in terms of the angular velocity of the bottom cap is used. The velocity field is a superposition of a strong primary, azimuthal field and a weaker secondary meridional field. The effect of the aspect ratio and viscoelasticity of the fluid results in multiple cell structures in the meridional plane. The free surface shape determined at the lowest significant order in the perturbation algorithm, is similarly affected by the same factors. Both the flow field and the interface shape are determined for a wide range of aspect ratios and viscoelastic parameters.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="17c04a4d88eaf5fe3b7ae480c07f9240" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156664,"asset_id":117249911,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156664/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249911"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249911"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249911; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249911]").text(description); $(".js-view-count[data-work-id=117249911]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249911; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249911']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249911, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "17c04a4d88eaf5fe3b7ae480c07f9240" } } $('.js-work-strip[data-work-id=117249911]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249911,"title":"Free surface on a viscoelastic liquid in a cylinder with spinning bottom","translated_title":"","metadata":{"abstract":"The shape of the free surface and the flow field of a simple fluid driven by the steadily rotating bottom cap of a cylindrical cup is investigated. A regular domain perturbation in terms of the angular velocity of the bottom cap is used. The velocity field is a superposition of a strong primary, azimuthal field and a weaker secondary meridional field. The effect of the aspect ratio and viscoelasticity of the fluid results in multiple cell structures in the meridional plane. The free surface shape determined at the lowest significant order in the perturbation algorithm, is similarly affected by the same factors. Both the flow field and the interface shape are determined for a wide range of aspect ratios and viscoelastic parameters.","publisher":"Wiley","publication_date":{"day":null,"month":null,"year":1989,"errors":{}},"publication_name":"Makromolekulare Chemie. Macromolecular Symposia"},"translated_abstract":"The shape of the free surface and the flow field of a simple fluid driven by the steadily rotating bottom cap of a cylindrical cup is investigated. 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A...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. A regular domain perturbation in terms of the angular velocity of the bottom is used. The flow field is made up of the superposition of azimuthal and meridional fields. The meridional field is solved both by biorthogonal series and a numerical algorithm. The free surface on the liquid is determined at the lowest significant order. The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9bdcfbed9483c136ae2e683865c51758" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156661,"asset_id":117249905,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156661/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249905"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249905"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249905; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249905]").text(description); $(".js-view-count[data-work-id=117249905]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249905; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249905']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249905, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9bdcfbed9483c136ae2e683865c51758" } } $('.js-work-strip[data-work-id=117249905]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249905,"title":"Swirling free surface flow in cylindrical containers","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","ai_title_tag":"Swirling Flow Dynamics in Cylindrical Containers","grobid_abstract":"Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. 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The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.","publication_date":{"day":null,"month":null,"year":1993,"errors":{}},"publication_name":"Journal of Engineering Mathematics","grobid_abstract_attachment_id":113156661},"translated_abstract":null,"internal_url":"https://www.academia.edu/117249905/Swirling_free_surface_flow_in_cylindrical_containers","translated_internal_url":"","created_at":"2024-04-08T19:03:24.298-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156661,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156661/thumbnails/1.jpg","file_name":"bf0012896620240409-1-clvi03.pdf","download_url":"https://www.academia.edu/attachments/113156661/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Swirling_free_surface_flow_in_cylindrica.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156661/bf0012896620240409-1-clvi03-libre.pdf?1712628614=\u0026response-content-disposition=attachment%3B+filename%3DSwirling_free_surface_flow_in_cylindrica.pdf\u0026Expires=1736105850\u0026Signature=Zu9Yl92pJR0IE7XjQKYG5~-UlCLt3Q~qDX1fSMGYIWHSde3UuF8Kxrni4Lq7EVLwae0I4TJme1dsRJ1poKqWMGug4DlEWDTQD7GFxzCsLG1dVsigaRutyHcCdRo5FetFkQkys4hqgXuWK~IZIhNMmksa23~NHEtrmFrplzKCJhTG9Nnqq5T3e5Yyiz7v6bAPnw4vZmPRra0E4rPIclXpq-o5poZWZptBGVjKIieO~toB8G9VWGqquz-H6ulKEkPUT6qejU4GAZBqhFxOg26LrRc8fIy10DGeEAW8F~-wS60Hmxbgm2lcQsL24msAW5RqbPiuZ~tkBR5O2lmIMXKRyw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Swirling_free_surface_flow_in_cylindrical_containers","translated_slug":"","page_count":20,"language":"en","content_type":"Work","summary":"Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. 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Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[{"id":113156661,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156661/thumbnails/1.jpg","file_name":"bf0012896620240409-1-clvi03.pdf","download_url":"https://www.academia.edu/attachments/113156661/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Swirling_free_surface_flow_in_cylindrica.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156661/bf0012896620240409-1-clvi03-libre.pdf?1712628614=\u0026response-content-disposition=attachment%3B+filename%3DSwirling_free_surface_flow_in_cylindrica.pdf\u0026Expires=1736105850\u0026Signature=Zu9Yl92pJR0IE7XjQKYG5~-UlCLt3Q~qDX1fSMGYIWHSde3UuF8Kxrni4Lq7EVLwae0I4TJme1dsRJ1poKqWMGug4DlEWDTQD7GFxzCsLG1dVsigaRutyHcCdRo5FetFkQkys4hqgXuWK~IZIhNMmksa23~NHEtrmFrplzKCJhTG9Nnqq5T3e5Yyiz7v6bAPnw4vZmPRra0E4rPIclXpq-o5poZWZptBGVjKIieO~toB8G9VWGqquz-H6ulKEkPUT6qejU4GAZBqhFxOg26LrRc8fIy10DGeEAW8F~-wS60Hmxbgm2lcQsL24msAW5RqbPiuZ~tkBR5O2lmIMXKRyw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":1079,"name":"Engineering Mechanics","url":"https://www.academia.edu/Documents/in/Engineering_Mechanics"},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics"},{"id":14557,"name":"Applied Mechanics","url":"https://www.academia.edu/Documents/in/Applied_Mechanics"},{"id":30878,"name":"Engineering Mathematics","url":"https://www.academia.edu/Documents/in/Engineering_Mathematics"},{"id":30879,"name":"Advanced Engineering Mathematics","url":"https://www.academia.edu/Documents/in/Advanced_Engineering_Mathematics"},{"id":96281,"name":"Applied mathematics and Modelling","url":"https://www.academia.edu/Documents/in/Applied_mathematics_and_Modelling"},{"id":301283,"name":"Free Surface","url":"https://www.academia.edu/Documents/in/Free_Surface"},{"id":556845,"name":"Numerical Analysis and Computational Mathematics","url":"https://www.academia.edu/Documents/in/Numerical_Analysis_and_Computational_Mathematics"},{"id":794872,"name":"Cylinder","url":"https://www.academia.edu/Documents/in/Cylinder"},{"id":818655,"name":"Applied Mathematics and Physics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics_and_Physics"},{"id":1766044,"name":"Azimuth","url":"https://www.academia.edu/Documents/in/Azimuth"},{"id":2175732,"name":"Superposition principle","url":"https://www.academia.edu/Documents/in/Superposition_principle"}],"urls":[{"id":40951091,"url":"http://link.springer.com/content/pdf/10.1007/BF00128966.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="117249901"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/117249901/Oscillating_flow_of_a_simple_fluid_in_a_pipe"><img alt="Research paper thumbnail of Oscillating flow of a simple fluid in a pipe" class="work-thumbnail" src="https://attachments.academia-assets.com/113156656/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/117249901/Oscillating_flow_of_a_simple_fluid_in_a_pipe">Oscillating flow of a simple fluid in a pipe</a></div><div class="wp-workCard_item"><span>International Journal of Engineering Science</span><span>, 1991</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure g...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is ~~ves~~gat~. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flaw rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="33e081b832a84dcf1c293be5263f3315" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156656,"asset_id":117249901,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156656/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249901"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249901"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249901; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249901]").text(description); $(".js-view-count[data-work-id=117249901]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249901; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249901']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249901, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "33e081b832a84dcf1c293be5263f3315" } } $('.js-work-strip[data-work-id=117249901]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249901,"title":"Oscillating flow of a simple fluid in a pipe","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is ~~ves~~gat~. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flaw rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.","publication_date":{"day":null,"month":null,"year":1991,"errors":{}},"publication_name":"International Journal of Engineering Science","grobid_abstract_attachment_id":113156656},"translated_abstract":null,"internal_url":"https://www.academia.edu/117249901/Oscillating_flow_of_a_simple_fluid_in_a_pipe","translated_internal_url":"","created_at":"2024-04-08T19:03:23.661-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156656,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156656/thumbnails/1.jpg","file_name":"0020-722528912990126-n20240409-1-z3vzuo.pdf","download_url":"https://www.academia.edu/attachments/113156656/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Oscillating_flow_of_a_simple_fluid_in_a.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156656/0020-722528912990126-n20240409-1-z3vzuo-libre.pdf?1712628618=\u0026response-content-disposition=attachment%3B+filename%3DOscillating_flow_of_a_simple_fluid_in_a.pdf\u0026Expires=1736105850\u0026Signature=Z0a9VuBdyuQlwt2GoVc9uNFu2VTQVVq8uvIz8rbNlRys~xjF1~l0jWIogfUOlMkeyTwd7C4bCpgfdkWPGpmtwGCWc2x7A4mOMSmx5h0mosRrEjjTzbtMTkfm27fjhNSnzihNrprnkISmBYes3YtZ8p1DJAlRTWmr-8ZWSPNv8qIJpCQt4mcGeITJ6WkK1dLFp7z2Y1OrLm0AIRO-pBtXAWJHqr6XGRas4WJEYzLFOfi5Xt-dF0ivb9mwJbMRZhcujQvl4j9v7DoiQaWpp60SHZjT4kdhCbgVqzRLA081m3L0nJR6zZOEPWvTidJanieV5-0bSY4l0Q7JqjiQyKF49w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Oscillating_flow_of_a_simple_fluid_in_a_pipe","translated_slug":"","page_count":11,"language":"en","content_type":"Work","summary":"Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is ~~ves~~gat~. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flaw rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[{"id":113156656,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156656/thumbnails/1.jpg","file_name":"0020-722528912990126-n20240409-1-z3vzuo.pdf","download_url":"https://www.academia.edu/attachments/113156656/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Oscillating_flow_of_a_simple_fluid_in_a.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156656/0020-722528912990126-n20240409-1-z3vzuo-libre.pdf?1712628618=\u0026response-content-disposition=attachment%3B+filename%3DOscillating_flow_of_a_simple_fluid_in_a.pdf\u0026Expires=1736105850\u0026Signature=Z0a9VuBdyuQlwt2GoVc9uNFu2VTQVVq8uvIz8rbNlRys~xjF1~l0jWIogfUOlMkeyTwd7C4bCpgfdkWPGpmtwGCWc2x7A4mOMSmx5h0mosRrEjjTzbtMTkfm27fjhNSnzihNrprnkISmBYes3YtZ8p1DJAlRTWmr-8ZWSPNv8qIJpCQt4mcGeITJ6WkK1dLFp7z2Y1OrLm0AIRO-pBtXAWJHqr6XGRas4WJEYzLFOfi5Xt-dF0ivb9mwJbMRZhcujQvl4j9v7DoiQaWpp60SHZjT4kdhCbgVqzRLA081m3L0nJR6zZOEPWvTidJanieV5-0bSY4l0Q7JqjiQyKF49w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":54,"name":"Engineering Physics","url":"https://www.academia.edu/Documents/in/Engineering_Physics"},{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":73,"name":"Civil Engineering","url":"https://www.academia.edu/Documents/in/Civil_Engineering"},{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics"},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics"},{"id":10651,"name":"Materials Characterisation","url":"https://www.academia.edu/Documents/in/Materials_Characterisation"},{"id":30878,"name":"Engineering Mathematics","url":"https://www.academia.edu/Documents/in/Engineering_Mathematics"},{"id":30879,"name":"Advanced Engineering Mathematics","url":"https://www.academia.edu/Documents/in/Advanced_Engineering_Mathematics"},{"id":96281,"name":"Applied mathematics and Modelling","url":"https://www.academia.edu/Documents/in/Applied_mathematics_and_Modelling"},{"id":248621,"name":"Materials Characterization","url":"https://www.academia.edu/Documents/in/Materials_Characterization"},{"id":292588,"name":"Engineering Science","url":"https://www.academia.edu/Documents/in/Engineering_Science"},{"id":462643,"name":"Physics Engineering","url":"https://www.academia.edu/Documents/in/Physics_Engineering"},{"id":1445397,"name":"Applied Mathematics and Modeling","url":"https://www.academia.edu/Documents/in/Applied_Mathematics_and_Modeling"},{"id":1705223,"name":"Physics for Scientists and Engineers","url":"https://www.academia.edu/Documents/in/Physics_for_Scientists_and_Engineers"}],"urls":[{"id":40951089,"url":"https://api.elsevier.com/content/article/PII:002072259190126N?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="117249900"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/117249900/Isothermal_tube_flow_of_non_linear_viscoelastic_fluids_Part_II_Transversal_field"><img alt="Research paper thumbnail of Isothermal tube flow of non-linear viscoelastic fluids. Part II: Transversal field" class="work-thumbnail" src="https://attachments.academia-assets.com/113156657/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/117249900/Isothermal_tube_flow_of_non_linear_viscoelastic_fluids_Part_II_Transversal_field">Isothermal tube flow of non-linear viscoelastic fluids. Part II: Transversal field</a></div><div class="wp-workCard_item"><span>International Journal of Engineering Science</span><span>, 2011</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Theories and attendant methodologies developed independently of thermodynamic considerations and ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. The state of the art in predicting the longitudinal field, the pressure drop and the friction factors for the flow of generalized Newtonian and viscoelastic fluids in circular and non-circular straight tubes is reviewed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a20f5aad25afcb36e516dd4afa3e007f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156657,"asset_id":117249900,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156657/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249900"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249900"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249900; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249900]").text(description); $(".js-view-count[data-work-id=117249900]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249900; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249900']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249900, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a20f5aad25afcb36e516dd4afa3e007f" } } $('.js-work-strip[data-work-id=117249900]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249900,"title":"Isothermal tube flow of non-linear viscoelastic fluids. Part II: Transversal field","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. 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The solution methodology is general in scope, does not put any restrictions on the Bingham number and thus allows the mapping of the flow field for high Bingham numbers in straight tubes with non-circular axially-symmetric but otherwise arbitrary cross-sectional contours. The circular tube contour is mapped onto an arbitrary non-circular contour on which the no-slip condition is satisfied via a one-to-one and continuous mapping. Governing equations are solved for the full spectrum of axially symmetrical cross-sectional shapes and a specific example is developed for the viscoplastic H-B fluid flow in a tube with an equilateral triangular cross-section. The shape and the extent of the plug zones centered on the tube axis and the stagnant zones in the corners are predicted for both Bingham and H-B fluids. The effect of the shear rate dependent viscosity of the H-B fluids, leading to either shear-thickening or shear-thinning behavior, on the formation of the plug and stagnation zones is examined.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="85877f4563971f8efbaab169a86f8853" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":101438334,"asset_id":99945034,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/101438334/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="99945034"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="99945034"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 99945034; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=99945034]").text(description); $(".js-view-count[data-work-id=99945034]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 99945034; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='99945034']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 99945034, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "85877f4563971f8efbaab169a86f8853" } } $('.js-work-strip[data-work-id=99945034]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":99945034,"title":"On the Flow of Viscoplastic Fluids in Non-Circular Tubes","translated_title":"","metadata":{"doi":"10.1016/j.ijnonlinmec.2023.104408","issue":"July","volume":"153","abstract":"Steady flow of the viscoplastic Bingham and Herschel-Bulkley (H-B) fluids in tubes of noncircular cross-section is investigated analytically. The solution methodology is general in scope, does not put any restrictions on the Bingham number and thus allows the mapping of the flow field for high Bingham numbers in straight tubes with non-circular axially-symmetric but otherwise arbitrary cross-sectional contours. The circular tube contour is mapped onto an arbitrary non-circular contour on which the no-slip condition is satisfied via a one-to-one and continuous mapping. Governing equations are solved for the full spectrum of axially symmetrical cross-sectional shapes and a specific example is developed for the viscoplastic H-B fluid flow in a tube with an equilateral triangular cross-section. The shape and the extent of the plug zones centered on the tube axis and the stagnant zones in the corners are predicted for both Bingham and H-B fluids. 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The solution methodology is general in scope, does not put any restrictions on the Bingham number and thus allows the mapping of the flow field for high Bingham numbers in straight tubes with non-circular axially-symmetric but otherwise arbitrary cross-sectional contours. The circular tube contour is mapped onto an arbitrary non-circular contour on which the no-slip condition is satisfied via a one-to-one and continuous mapping. Governing equations are solved for the full spectrum of axially symmetrical cross-sectional shapes and a specific example is developed for the viscoplastic H-B fluid flow in a tube with an equilateral triangular cross-section. The shape and the extent of the plug zones centered on the tube axis and the stagnant zones in the corners are predicted for both Bingham and H-B fluids. The effect of the shear rate dependent viscosity of the H-B fluids, leading to either shear-thickening or shear-thinning behavior, on the formation of the plug and stagnation zones is examined.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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The causes and the evolution of this overstability problem have not yet been investigated in-depth. Numerical simulations of the viscoelastic Rayleigh-Bénard convection (VRBC) have been conducted in this work with viscoelastic working fluids abiding by the nonlinear Phan-Thien-Tanner (PTT) constitutive structure in two-dimensional cavities. To understand the impact of the nonlinearity and the rheological parameters on the mechanism of the regular reverse flow numerical simulations have been performed over the range of β = (0.1, 0.2) (where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of solvent viscosity μs and polymer viscosity μp) and Weissenberg number (We ∈ [0.075, 0.25]), using an in-house finite-difference code. The remaining constitutive parameters of the (PTT) fluid representing elongational and slippage characteristics of the fluid were kept fixed at = 0.1 and ξ = 0.05, respectively. A viscoelastic kinetic-energy budget method was used to analyze the energy transport in this time-dependent reverse flow process. An original parametric analysis is developed to gain an insight into the dynamics of the reversal flow observed recently in our work, Zheng et al. [Phys. Rev. Fluids 7, 023301 (2022)], as well as observed by Park and Ryu [Rheol. Acta 41, 427 (2002)] and Lappa and Boaro [J. Fluid Mech. 904, A2 (2020)]. The emergence of the reversal convection can be explained by the transfer of potential energy between flow and fluid elasticity during the reversal process. The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="653cae4f82f05e8aa8a8045d639d6577" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":99030786,"asset_id":97397587,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/99030786/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97397587"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97397587"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97397587; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97397587]").text(description); $(".js-view-count[data-work-id=97397587]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97397587; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97397587']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 97397587, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "653cae4f82f05e8aa8a8045d639d6577" } } $('.js-work-strip[data-work-id=97397587]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97397587,"title":"Time-dependent Oscillating Viscoelastic Rayleigh-Bénard Convection: Viscoelastic Kinetic Energy Budget Analysis","translated_title":"","metadata":{"doi":"10.1103/PhysRevFluids.8.023303","abstract":"The time-dependent oscillating convection leading to the formation of reverse flowing cells is a special phenomenon induced by viscoelasticity in the Rayleigh-Bénard convection (RBC). The causes and the evolution of this overstability problem have not yet been investigated in-depth. Numerical simulations of the viscoelastic Rayleigh-Bénard convection (VRBC) have been conducted in this work with viscoelastic working fluids abiding by the nonlinear Phan-Thien-Tanner (PTT) constitutive structure in two-dimensional cavities. To understand the impact of the nonlinearity and the rheological parameters on the mechanism of the regular reverse flow numerical simulations have been performed over the range of β = (0.1, 0.2) (where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of solvent viscosity μs and polymer viscosity μp) and Weissenberg number (We ∈ [0.075, 0.25]), using an in-house finite-difference code. The remaining constitutive parameters of the (PTT) fluid representing elongational and slippage characteristics of the fluid were kept fixed at \u0003 = 0.1 and ξ = 0.05, respectively. 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The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Physical Review Fluids"},"translated_abstract":"The time-dependent oscillating convection leading to the formation of reverse flowing cells is a special phenomenon induced by viscoelasticity in the Rayleigh-Bénard convection (RBC). The causes and the evolution of this overstability problem have not yet been investigated in-depth. Numerical simulations of the viscoelastic Rayleigh-Bénard convection (VRBC) have been conducted in this work with viscoelastic working fluids abiding by the nonlinear Phan-Thien-Tanner (PTT) constitutive structure in two-dimensional cavities. To understand the impact of the nonlinearity and the rheological parameters on the mechanism of the regular reverse flow numerical simulations have been performed over the range of β = (0.1, 0.2) (where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of solvent viscosity μs and polymer viscosity μp) and Weissenberg number (We ∈ [0.075, 0.25]), using an in-house finite-difference code. The remaining constitutive parameters of the (PTT) fluid representing elongational and slippage characteristics of the fluid were kept fixed at \u0003 = 0.1 and ξ = 0.05, respectively. A viscoelastic kinetic-energy budget method was used to analyze the energy transport in this time-dependent reverse flow process. An original parametric analysis is developed to gain an insight into the dynamics of the reversal flow observed recently in our work, Zheng et al. [Phys. Rev. Fluids 7, 023301 (2022)], as well as observed by Park and Ryu [Rheol. Acta 41, 427 (2002)] and Lappa and Boaro [J. Fluid Mech. 904, A2 (2020)]. The emergence of the reversal convection can be explained by the transfer of potential energy between flow and fluid elasticity during the reversal process. The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.","internal_url":"https://www.academia.edu/97397587/Time_dependent_Oscillating_Viscoelastic_Rayleigh_B%C3%A9nard_Convection_Viscoelastic_Kinetic_Energy_Budget_Analysis","translated_internal_url":"","created_at":"2023-02-23T03:22:37.558-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39538543,"work_id":97397587,"tagging_user_id":33969261,"tagged_user_id":251906870,"co_author_invite_id":null,"email":"z***n@hrbeu.edu.cn","display_order":1,"name":"Xin Zheng","title":"Time-dependent Oscillating Viscoelastic Rayleigh-Bénard Convection: Viscoelastic Kinetic Energy Budget Analysis"},{"id":39538544,"work_id":97397587,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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A viscoelastic kinetic-energy budget method was used to analyze the energy transport in this time-dependent reverse flow process. An original parametric analysis is developed to gain an insight into the dynamics of the reversal flow observed recently in our work, Zheng et al. [Phys. Rev. Fluids 7, 023301 (2022)], as well as observed by Park and Ryu [Rheol. Acta 41, 427 (2002)] and Lappa and Boaro [J. Fluid Mech. 904, A2 (2020)]. The emergence of the reversal convection can be explained by the transfer of potential energy between flow and fluid elasticity during the reversal process. The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Because of the granular nature of the polymer powder, the scattering phenomena causes the photons isotropic travel in the medium, which affects directly the photons' distribution in the powder bed. In this paper, we numerically simulate the laser heat source traveling in a powder polymer bed, as in the SLS process, by introducing the Mie theory with Monte-Carlo method, instead of the Bear-Lambert Law, to correctly represent the heating energy distribution in the material. The obtained energy distribution is then introduced in the energy equation to solve the heat transfer problem in such non homogeneous medium. All the material transformation are also introduced , as the melting process, the coalescence, air diffusion and porosity evolution, based on classical theories. Meanwhile, we carry out a parametric thermal analysis and discussed based on process parameters, like the laser power, laser moving length and the material preheating temperature. Their influence on the temperature evolution is quantified. These analysis results can be used as a guide for providing technical database to SLS process, helpful for various industries in automotive, aerospace and medical areas.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d2f783ff9bd468363636ae771ab0255c" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98533833,"asset_id":96711446,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98533833/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="96711446"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="96711446"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 96711446; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=96711446]").text(description); $(".js-view-count[data-work-id=96711446]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 96711446; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='96711446']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 96711446, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d2f783ff9bd468363636ae771ab0255c" } } $('.js-work-strip[data-work-id=96711446]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":96711446,"title":"Heat Transfer During Polymer Selective Laser Sintering Process: Parametric Analysis","translated_title":"","metadata":{"doi":"10.1115/IMECE2022-96664","abstract":"The laser transmission in the polymer powder bed includes three parts during the selective laser sintering (SLS) process: absorption, reflection, and scattering. 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A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1805686fb7041e148fea5f7fb543d83b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97914781,"asset_id":95847749,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97914781/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95847749"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95847749"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95847749; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95847749]").text(description); $(".js-view-count[data-work-id=95847749]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95847749; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95847749']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95847749, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "1805686fb7041e148fea5f7fb543d83b" } } $('.js-work-strip[data-work-id=95847749]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95847749,"title":"Oscillating Onset of the Rayleigh-Bénard Convection with Viscoelastic Fluids in a Slightly Tilted Cavity","translated_title":"","metadata":{"doi":"10.1063/5.0137501","issue":"2","volume":"35","abstract":"The oscillating onset of the Rayleigh-Bénard convection (RBC) with viscoelastic fluids in a slightly tilted 2-dimension (2D) rectangular cavity with aspect ratio Γ = 2 was investigated for the first time via direct numerical simulation. A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. 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The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].","internal_url":"https://www.academia.edu/95847749/Oscillating_Onset_of_the_Rayleigh_B%C3%A9nard_Convection_with_Viscoelastic_Fluids_in_a_Slightly_Tilted_Cavity","translated_internal_url":"","created_at":"2023-01-28T04:56:57.691-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39421567,"work_id":95847749,"tagging_user_id":33969261,"tagged_user_id":251906870,"co_author_invite_id":null,"email":"z***n@hrbeu.edu.cn","display_order":1,"name":"Xin Zheng","title":"Oscillating Onset of the Rayleigh-Bénard Convection with Viscoelastic Fluids in a Slightly Tilted Cavity"},{"id":39421568,"work_id":95847749,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="93495451"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/93495451/Pattern_Selection_and_Heat_Transfer_in_the_Rayleigh_B%C3%A9nard_Convection_Near_the_Vicinity_of_the_Convection_Onset_with_Viscoelastic_Fluids"><img alt="Research paper thumbnail of Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/101489243/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/93495451/Pattern_Selection_and_Heat_Transfer_in_the_Rayleigh_B%C3%A9nard_Convection_Near_the_Vicinity_of_the_Convection_Onset_with_Viscoelastic_Fluids">Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids</a></div><div class="wp-workCard_item wp-workCard--coauthors"><span>by </span><span><a class="" data-click-track="profile-work-strip-authors" href="https://usach.academia.edu/DennisSiginer">Dennis A . Siginer</a>, <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/WeiHuaCai2">Wei-Hua Cai</a>, and <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/XinZheng43">Xin Zheng</a></span></div><div class="wp-workCard_item"><span>Physics of Fluids</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (R...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. However, heat transfer enhancement occurs if multiple pairs of rolls are induced.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9c462cda77428feb10e40cd5b68eeb45" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":101489243,"asset_id":93495451,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/101489243/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="93495451"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="93495451"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 93495451; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=93495451]").text(description); $(".js-view-count[data-work-id=93495451]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 93495451; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='93495451']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 93495451, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9c462cda77428feb10e40cd5b68eeb45" } } $('.js-work-strip[data-work-id=93495451]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":93495451,"title":"Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids","translated_title":"","metadata":{"doi":"10.1063/5.0132949","issue":"1","volume":"35","abstract":"The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. However, heat transfer enhancement occurs if multiple pairs of rolls are induced.","page_numbers":"013104","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Physics of Fluids"},"translated_abstract":"The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. 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The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. However, heat transfer enhancement occurs if multiple pairs of rolls are induced.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="91548152"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study"><img alt="Research paper thumbnail of Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study" class="work-thumbnail" src="https://attachments.academia-assets.com/94804684/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study">Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study</a></div><div class="wp-workCard_item"><span>Journal of Fluids Engineering</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A comprehensive study of the rheological characterization of the aqueous solutions of polyethylen...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="af2a99478cbd82c167acb2d7abce91f7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":94804684,"asset_id":91548152,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/94804684/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="91548152"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="91548152"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 91548152; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=91548152]").text(description); $(".js-view-count[data-work-id=91548152]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 91548152; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='91548152']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 91548152, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "af2a99478cbd82c167acb2d7abce91f7" } } $('.js-work-strip[data-work-id=91548152]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":91548152,"title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study","translated_title":"","metadata":{"doi":"10.1115/1.4056160","abstract":"A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","publication_date":{"day":null,"month":null,"year":2022,"errors":{}},"publication_name":"Journal of Fluids Engineering"},"translated_abstract":"A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","internal_url":"https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study","translated_internal_url":"","created_at":"2022-11-24T19:20:39.454-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39112456,"work_id":91548152,"tagging_user_id":33969261,"tagged_user_id":null,"co_author_invite_id":7197942,"email":"h***d@insa-lyon.fr","display_order":1,"name":"Hafiz Ahmad","title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study"},{"id":39112457,"work_id":91548152,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries. It is critically important that the behavior of non-colloidal suspensions under forcing is predicted on a sound basis from an industrial operational point of view not to mention the fundamental scientific significance, thus the raison d'être of the present work, a comprehensive up-to-date review of constitutive equations formulated to describe the flow of suspensions either dilute or dense under driving forces. This review only takes up the formulation of constitutive structures for non-colloidal suspensions and does not get into the rheology of suspensions per se. Thus, it is substantially more comprehensive in that sense than other reviews, which may have been published over the last two decades. It is also written not only for researchers in the field, but for those in related fields as well who may find it interesting, useful and related to their own research. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory in their historical context and the reasons behind them. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3ae3abd9e262d59ad08549f31382f05a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":82555699,"asset_id":72459214,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/82555699/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="72459214"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="72459214"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 72459214; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=72459214]").text(description); $(".js-view-count[data-work-id=72459214]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 72459214; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='72459214']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 72459214, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "3ae3abd9e262d59ad08549f31382f05a" } } $('.js-work-strip[data-work-id=72459214]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":72459214,"title":"Constitutive Formulations for Non-Colloidal Suspensions","translated_title":"","metadata":{"doi":"10.1016/j.molliq.2022.118786","abstract":"This work is a comprehensive overall view of a complex field still far from being settled on firm grounds, that of the constitutive structure of non-colloidal suspensions. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="72419820"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/72419820/Pattern_Selection_in_Rayleigh_B%C3%A9nard_Convection_with_Non_Linear_Viscoelastic_Fluids"><img alt="Research paper thumbnail of Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/81800192/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/72419820/Pattern_Selection_in_Rayleigh_B%C3%A9nard_Convection_with_Non_Linear_Viscoelastic_Fluids">Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids</a></div><div class="wp-workCard_item"><span>Physical Review Fluids</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of no...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of non-linear viscoelastic fluids represented by the Phan Thien-Tanner (PTT) constitutive equation is investigated numerically. Governing equations are discretized by finite difference methods in space and time. The momentum and PTT constitutive equations are written in a quasi-linear formulation. Quasi-linear terms are treated with the High-Order Upwind Central (HOUC) method and velocity-pressure coupling is handled through the projection method. The developed model is validated for Oldroyd-B type of working fluids. The onset of time-dependent convection is observed and the critical Rayleigh number is determined for PTT type of fluids. Time-dependent flow pattern transition is investigated and explained. Transition from time-dependent flow to steady-state flow is observed at a higher Rayleigh number and the corresponding critical Rayleigh number is computed, for the first time in the literature. This is a new original finding. The effect of the rheological parameters on heat transfer is investigated.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f788d7073907ad5c33ca7c7e662293cf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":81800192,"asset_id":72419820,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/81800192/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="72419820"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="72419820"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 72419820; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=72419820]").text(description); $(".js-view-count[data-work-id=72419820]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 72419820; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='72419820']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 72419820, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f788d7073907ad5c33ca7c7e662293cf" } } $('.js-work-strip[data-work-id=72419820]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":72419820,"title":"Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids","translated_title":"","metadata":{"doi":"10.1103/PhysRevFluids.7.023301","issue":"2","volume":"7","abstract":"Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of non-linear viscoelastic fluids represented by the Phan Thien-Tanner (PTT) constitutive equation is investigated numerically. Governing equations are discretized by finite difference methods in space and time. The momentum and PTT constitutive equations are written in a quasi-linear formulation. Quasi-linear terms are treated with the High-Order Upwind Central (HOUC) method and velocity-pressure coupling is handled through the projection method. The developed model is validated for Oldroyd-B type of working fluids. The onset of time-dependent convection is observed and the critical Rayleigh number is determined for PTT type of fluids. Time-dependent flow pattern transition is investigated and explained. Transition from time-dependent flow to steady-state flow is observed at a higher Rayleigh number and the corresponding critical Rayleigh number is computed, for the first time in the literature. This is a new original finding. 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Governing equations are discretized by finite difference methods in space and time. The momentum and PTT constitutive equations are written in a quasi-linear formulation. Quasi-linear terms are treated with the High-Order Upwind Central (HOUC) method and velocity-pressure coupling is handled through the projection method. The developed model is validated for Oldroyd-B type of working fluids. The onset of time-dependent convection is observed and the critical Rayleigh number is determined for PTT type of fluids. Time-dependent flow pattern transition is investigated and explained. Transition from time-dependent flow to steady-state flow is observed at a higher Rayleigh number and the corresponding critical Rayleigh number is computed, for the first time in the literature. This is a new original finding. The effect of the rheological parameters on heat transfer is investigated.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Siginer</a> and <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/MarioLetelier">Mario Letelier</a></span></div><div class="wp-workCard_item"><span>Journal of Fluids Engineering</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The shape, size and location of the stagnation zone between flat non-parallel walls that make up ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. We show that the stagnant area is bounded by a convex meniscus whose size depends on the degree of plasticity and the vertex angle. The maximum and minimum energy dissipation occurs at the wall and at the bisectrix, respectively. The stagnant zone can be altogether avoided by modifying the shape of the wall in the corner area. A new design of the cross-section of the tube that allows reducing or eliminating this area to optimize the mass transport is developed. Two optimal solutions a vertex with a straight cut and a concavely curved vertex are proposed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="95c07d960f82022185671491b4a11c80" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":82405140,"asset_id":63921222,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/82405140/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="63921222"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="63921222"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 63921222; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=63921222]").text(description); $(".js-view-count[data-work-id=63921222]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 63921222; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='63921222']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 63921222, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "95c07d960f82022185671491b4a11c80" } } $('.js-work-strip[data-work-id=63921222]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":63921222,"title":"Stagnation Zone Near a Corner in Viscoplastic Fluid Flow","translated_title":"","metadata":{"doi":"10.1115/1.4053165","issue":"7","volume":"144","abstract":"The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. We show that the stagnant area is bounded by a convex meniscus whose size depends on the degree of plasticity and the vertex angle. The maximum and minimum energy dissipation occurs at the wall and at the bisectrix, respectively. The stagnant zone can be altogether avoided by modifying the shape of the wall in the corner area. A new design of the cross-section of the tube that allows reducing or eliminating this area to optimize the mass transport is developed. Two optimal solutions a vertex with a straight cut and a concavely curved vertex are proposed.","page_numbers":"071301-1/071301-9","publication_date":{"day":null,"month":null,"year":2021,"errors":{}},"publication_name":"Journal of Fluids Engineering"},"translated_abstract":"The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="51962213"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/51962213/Inertial_Diffusivity_of_Non_Colloidal_Particles_in_Unbounded_Suspending_Media_and_Numerical_Simulations"><img alt="Research paper thumbnail of Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations" class="work-thumbnail" src="https://attachments.academia-assets.com/70107337/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/51962213/Inertial_Diffusivity_of_Non_Colloidal_Particles_in_Unbounded_Suspending_Media_and_Numerical_Simulations">Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations</a></div><div class="wp-workCard_item"><span>Journal of Molecular Liquids</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of di...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries adding more emphasis to the fundamental challenge of predicting on a sound basis the rheological properties as well as the constitutive structure of non-colloidal suspensions under forcing. Thus, the raison d'être of the present work, a comprehensive up-to-date review of an important segment of the non-colloidal suspension mechanics covering the inertial diffusivity of non-colloidal particles in suspension in an unbounded Newtonian fluid medium followed by the closely related review of the numerical simulations of unbounded suspensions. The presence of the boundaries introduces extensive complications and the progress made in inertial and shear induced self-diffusivity in bounded Newtonian and viscoelastic suspending media will be covered in an upcoming review article dedicated to this topic. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them expounded within the framework of their historical context. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="0b41871da8eae97f15ffc30988b975a0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":70107337,"asset_id":51962213,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/70107337/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="51962213"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="51962213"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 51962213; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=51962213]").text(description); $(".js-view-count[data-work-id=51962213]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 51962213; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='51962213']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 51962213, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "0b41871da8eae97f15ffc30988b975a0" } } $('.js-work-strip[data-work-id=51962213]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":51962213,"title":"Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations","translated_title":"","metadata":{"doi":"10.1016/j.molliq.2021.117471","abstract":"ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries adding more emphasis to the fundamental challenge of predicting on a sound basis the rheological properties as well as the constitutive structure of non-colloidal suspensions under forcing. 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Siginer</a></span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The eigenvalue problem of holomorphic functions on the unit disc for the third boundary condition...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The eigenvalue problem of holomorphic functions on the unit disc for<br />the third boundary condition with general coefficient is studied using Fourier analysis.<br />With a general anti-polynomial coefficient a variable number of additional boundary<br />conditions need to be imposed to determine the eigenvalue uniquely. An additional<br />boundary condition is required to obtain a unique eigenvalue when the coefficient includes<br />an essential singularity rather than a pole. In either case explicit solutions are derived.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="261176c3cd688f1c2f5c6a1de7232ac4" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67626847,"asset_id":49242880,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67626847/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49242880"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49242880"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49242880; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49242880]").text(description); $(".js-view-count[data-work-id=49242880]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49242880; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49242880']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49242880, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "261176c3cd688f1c2f5c6a1de7232ac4" } } $('.js-work-strip[data-work-id=49242880]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49242880,"title":"EIGENVALUES OF HOLOMORPHIC FUNCTIONS FOR THE THIRD BOUNDARY CONDITION","translated_title":"","metadata":{"abstract":"The eigenvalue problem of holomorphic functions on the unit disc for\nthe third boundary condition with general coefficient is studied using Fourier analysis.\nWith a general anti-polynomial coefficient a variable number of additional boundary\nconditions need to be imposed to determine the eigenvalue uniquely. 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Effects of several process parameters as well as material properties on the balling phenomenon are investigated. Simulation results compare well to the experimental findings in the literature.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fd096a474d6231bad13ecfbe7074eacb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67615968,"asset_id":49231982,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67615968/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49231982"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49231982"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49231982; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49231982]").text(description); $(".js-view-count[data-work-id=49231982]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49231982; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49231982']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49231982, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fd096a474d6231bad13ecfbe7074eacb" } } $('.js-work-strip[data-work-id=49231982]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49231982,"title":"Balling Phenomenon in Metallic Laser Based 3D Printing Process","translated_title":"","metadata":{"doi":"10.1016/j.ijthermalsci.2021.107011","abstract":"ABSTRACT: A comprehensive model is developed coupling major physical phenomena inherent to the Selective Laser Melting process together with a 3D numerical model based on the discrete element method to study the effect of the process parameters on the generation of balling droplets in the laser melting process. 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The governing equation is formulated with Caputo-Fabrizio time fractional derivatives whose orders are distributed in the interval [0, 1). The linear momentum and the Poisson-Boltzmann equations are solved analytically in tandem in the triangular region with the help of the Helmholtz eigenvalue problem and Laplace transforms. The analytical solution developed is exact. The solution technique used is new, leads to exact solutions, is completely different from those available in the literature, and applies to other similar problems. The new expression for the velocity field displays experimentally observed 'velocity overshoot' as opposed to existing analytical studies none of which can predict the overshoot phenomenon. We show that when Caputo-Fabrizio time-fractional derivatives approach unity the exact solution for the classical upper convected Maxwell fluid is obtained. The presence of elasticity in the constitutive structure alters the Newtonian velocity profiles drastically. The influence of pertinent parameters on the flow field is explored.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="573848d4c46761628d8a9f706207564f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67460036,"asset_id":49068591,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67460036/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49068591"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49068591"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49068591; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49068591]").text(description); $(".js-view-count[data-work-id=49068591]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49068591; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49068591']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49068591, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "573848d4c46761628d8a9f706207564f" } } $('.js-work-strip[data-work-id=49068591]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49068591,"title":"Exact Solution of the Startup Electroosmotic Flow of Generalized Maxwell Fluids in Triangular Microducts","translated_title":"","metadata":{"doi":"10.1115/1.4050940","abstract":"ABSTRACT: The unsteady electroosmotic flow of generalized Maxwell fluids in triangular microducts is investigated. 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The trans...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper investigates the crystallization kinetics and morphology development of PLA. The transitory stages in the evolving flow-induced crystallization of PLA are identified and classified in terms of the overall crystallization kinetics and the crystalline morphologies. Under quiescent conditions, temperature governs the crystallization process and the slow crystallization kinetics of PLA is highlighted under these conditions, whereas under shearing conditions, the crystallization is highly enhanced due to the promotion of the nucleation mechanism. The enhancement of the crystallization implies also morphological modifications. Depending on the shear rate and the shearing time the microstructure changes dramatically: spherulitic microstructure, fine grained microstructure and oriented microstructure. For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4be714ec84939083353c31ee1f4c6179" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156612,"asset_id":117249914,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156612/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249914"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249914"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249914; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249914]").text(description); $(".js-view-count[data-work-id=117249914]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249914; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249914']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249914, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "4be714ec84939083353c31ee1f4c6179" } } $('.js-work-strip[data-work-id=117249914]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249914,"title":"PLA Crystallization Kinetics and Morphology Development","translated_title":"","metadata":{"abstract":"This paper investigates the crystallization kinetics and morphology development of PLA. 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For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","publisher":"Walter de Gruyter GmbH","ai_title_tag":"Kinetics and Morphology of PLA Crystallization Dynamics","publication_date":{"day":null,"month":null,"year":2018,"errors":{}},"publication_name":"International Polymer Processing"},"translated_abstract":"This paper investigates the crystallization kinetics and morphology development of PLA. The transitory stages in the evolving flow-induced crystallization of PLA are identified and classified in terms of the overall crystallization kinetics and the crystalline morphologies. 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For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","internal_url":"https://www.academia.edu/117249914/PLA_Crystallization_Kinetics_and_Morphology_Development","translated_internal_url":"","created_at":"2024-04-08T19:03:25.713-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156612,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156612/thumbnails/1.jpg","file_name":"pdf.pdf","download_url":"https://www.academia.edu/attachments/113156612/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"PLA_Crystallization_Kinetics_and_Morphol.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156612/pdf-libre.pdf?1712628631=\u0026response-content-disposition=attachment%3B+filename%3DPLA_Crystallization_Kinetics_and_Morphol.pdf\u0026Expires=1736105850\u0026Signature=e2HV8tlFtm4QNysWaddFbLuX5h4I0oDhJz6HxUSy2fVWi57HFIaAAde37XOBUKYiUzTRDUhspCpMVDBfPvw~Uwf49j6i-D2qExcr2XU98Vqb~~oycwmpQcxAESACmQWaGqrxp5Hdn05pcA4~vydwaaeDjRkLY8ht8BK8VLP4yp2bnC3k0YKnTu66zScarjAOeF5imE3FaqrIsl1Sj6kIxTGDM4s9YVXJQ7I9QSTbRn-5eaGsptMjE915CkZHL3-hkr1DkmZI4uuPhTTZQXfNkjAC7i0GN3prfOqOwslRqRN1C~FuqSXT~DOgRINmo17OM5tnma8-eLbmMegBVjnYyA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"PLA_Crystallization_Kinetics_and_Morphology_Development","translated_slug":"","page_count":9,"language":"en","content_type":"Work","summary":"This paper investigates the crystallization kinetics and morphology development of PLA. The transitory stages in the evolving flow-induced crystallization of PLA are identified and classified in terms of the overall crystallization kinetics and the crystalline morphologies. Under quiescent conditions, temperature governs the crystallization process and the slow crystallization kinetics of PLA is highlighted under these conditions, whereas under shearing conditions, the crystallization is highly enhanced due to the promotion of the nucleation mechanism. The enhancement of the crystallization implies also morphological modifications. Depending on the shear rate and the shearing time the microstructure changes dramatically: spherulitic microstructure, fine grained microstructure and oriented microstructure. For a specific shear rate, depending on the magnitude of the shearing time the microstructure assumes the following states: for low shearing time only an increase of the number of n...","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Macromolecular Symposia</span><span>, 1989</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f5755dd3bb1dff2e92a66717ec6d2084" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156660,"asset_id":117249912,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156660/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249912"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249912"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249912; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249912]").text(description); $(".js-view-count[data-work-id=117249912]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249912; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249912']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249912, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f5755dd3bb1dff2e92a66717ec6d2084" } } $('.js-work-strip[data-work-id=117249912]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249912,"title":"On the superposition of oscillatory and shear flows of viscoelastic liquids","translated_title":"","metadata":{"abstract":"Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.","publisher":"Wiley","publication_date":{"day":null,"month":null,"year":1989,"errors":{}},"publication_name":"Makromolekulare Chemie. Macromolecular Symposia"},"translated_abstract":"Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.","internal_url":"https://www.academia.edu/117249912/On_the_superposition_of_oscillatory_and_shear_flows_of_viscoelastic_liquids","translated_internal_url":"","created_at":"2024-04-08T19:03:25.357-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156660,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156660/thumbnails/1.jpg","file_name":"masy.1989023010720240409-1-odazyl.pdf","download_url":"https://www.academia.edu/attachments/113156660/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"On_the_superposition_of_oscillatory_and.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156660/masy.1989023010720240409-1-odazyl-libre.pdf?1712628618=\u0026response-content-disposition=attachment%3B+filename%3DOn_the_superposition_of_oscillatory_and.pdf\u0026Expires=1736105850\u0026Signature=G1QBcluO5FRh3akopQPOgpqLlRViQsc-xqTplMv9wf-MZP2VlSoACkywtsx-CooYiFbPiZMg93U8pvtqDz0n3n0Vjf~MYdfUSBgL-M9hOEdOXkiYK12JZlEnRtZPYa64LcEeBBNaOIFjetUnWZsxxFGWqjOrfg4veUg59I8P3q2wHN97GP-w9WSQxyLrjd9sbtK1aiFJlrAyyRfBihzAY6F1AQayzZUMD-pZQdpr3~i48TEshN55UunMySAYiuwGM6RdcvVN-ioFuA~nJNVjRrh2Q4N4S1cCXsfuEQk0ipNaxuAiuzHBVXon-CH-Mb2cAlxy0rVrM3df4hyiEjeJ7w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"On_the_superposition_of_oscillatory_and_shear_flows_of_viscoelastic_liquids","translated_slug":"","page_count":18,"language":"en","content_type":"Work","summary":"Important flow enhancement effects take place when the motion of a non‐Newtonian fluid is driven either by pressure gradients pulsating around a non‐zero mean or by longitudinal and transversal boundary waves superposed on Poiseuille flow. Flow enhancement in the latter case is an order of magnitude larger than in the former. A regular perturbation in terms of the amplitude of the oscillation is used and closed form formulas given for mass transport rates at the lowest significant order. In particular it is shown that a mean flow may be generated even when the pressure gradients oscillate around a zero mean or the boundary waves are superposed on a fluid at rest if the frequencies of two superposed waves are in certain ratios.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Macromolecular Symposia</span><span>, 1989</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The shape of the free surface and the flow field of a simple fluid driven by the steadily rotatin...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The shape of the free surface and the flow field of a simple fluid driven by the steadily rotating bottom cap of a cylindrical cup is investigated. A regular domain perturbation in terms of the angular velocity of the bottom cap is used. The velocity field is a superposition of a strong primary, azimuthal field and a weaker secondary meridional field. The effect of the aspect ratio and viscoelasticity of the fluid results in multiple cell structures in the meridional plane. The free surface shape determined at the lowest significant order in the perturbation algorithm, is similarly affected by the same factors. Both the flow field and the interface shape are determined for a wide range of aspect ratios and viscoelastic parameters.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="17c04a4d88eaf5fe3b7ae480c07f9240" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156664,"asset_id":117249911,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156664/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249911"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249911"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249911; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249911]").text(description); $(".js-view-count[data-work-id=117249911]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249911; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249911']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249911, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "17c04a4d88eaf5fe3b7ae480c07f9240" } } $('.js-work-strip[data-work-id=117249911]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249911,"title":"Free surface on a viscoelastic liquid in a cylinder with spinning bottom","translated_title":"","metadata":{"abstract":"The shape of the free surface and the flow field of a simple fluid driven by the steadily rotating bottom cap of a cylindrical cup is investigated. 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A...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. A regular domain perturbation in terms of the angular velocity of the bottom is used. The flow field is made up of the superposition of azimuthal and meridional fields. The meridional field is solved both by biorthogonal series and a numerical algorithm. The free surface on the liquid is determined at the lowest significant order. The aspect ratio of the cylinder may generate a multiple cell structure in the meridional plane which in turn shapes the free surface.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9bdcfbed9483c136ae2e683865c51758" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156661,"asset_id":117249905,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156661/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249905"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249905"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249905; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249905]").text(description); $(".js-view-count[data-work-id=117249905]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249905; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249905']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249905, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9bdcfbed9483c136ae2e683865c51758" } } $('.js-work-strip[data-work-id=117249905]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249905,"title":"Swirling free surface flow in cylindrical containers","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","ai_title_tag":"Swirling Flow Dynamics in Cylindrical Containers","grobid_abstract":"Free surface flow in a cylindrical container with steadily rotating bottom cap is investigated. 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The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flaw rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="33e081b832a84dcf1c293be5263f3315" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156656,"asset_id":117249901,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156656/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249901"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249901"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249901; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249901]").text(description); $(".js-view-count[data-work-id=117249901]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249901; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249901']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249901, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "33e081b832a84dcf1c293be5263f3315" } } $('.js-work-strip[data-work-id=117249901]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249901,"title":"Oscillating flow of a simple fluid in a pipe","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is ~~ves~~gat~. 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Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.","publication_date":{"day":null,"month":null,"year":1991,"errors":{}},"publication_name":"International Journal of Engineering Science","grobid_abstract_attachment_id":113156656},"translated_abstract":null,"internal_url":"https://www.academia.edu/117249901/Oscillating_flow_of_a_simple_fluid_in_a_pipe","translated_internal_url":"","created_at":"2024-04-08T19:03:23.661-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156656,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156656/thumbnails/1.jpg","file_name":"0020-722528912990126-n20240409-1-z3vzuo.pdf","download_url":"https://www.academia.edu/attachments/113156656/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Oscillating_flow_of_a_simple_fluid_in_a.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156656/0020-722528912990126-n20240409-1-z3vzuo-libre.pdf?1712628618=\u0026response-content-disposition=attachment%3B+filename%3DOscillating_flow_of_a_simple_fluid_in_a.pdf\u0026Expires=1736105850\u0026Signature=Z0a9VuBdyuQlwt2GoVc9uNFu2VTQVVq8uvIz8rbNlRys~xjF1~l0jWIogfUOlMkeyTwd7C4bCpgfdkWPGpmtwGCWc2x7A4mOMSmx5h0mosRrEjjTzbtMTkfm27fjhNSnzihNrprnkISmBYes3YtZ8p1DJAlRTWmr-8ZWSPNv8qIJpCQt4mcGeITJ6WkK1dLFp7z2Y1OrLm0AIRO-pBtXAWJHqr6XGRas4WJEYzLFOfi5Xt-dF0ivb9mwJbMRZhcujQvl4j9v7DoiQaWpp60SHZjT4kdhCbgVqzRLA081m3L0nJR6zZOEPWvTidJanieV5-0bSY4l0Q7JqjiQyKF49w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Oscillating_flow_of_a_simple_fluid_in_a_pipe","translated_slug":"","page_count":11,"language":"en","content_type":"Work","summary":"Poiseuille flaw of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is ~~ves~~gat~. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flaw rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asy~toti~ analyses of the flow rate ~o~a~~rne~t at small and large frequencies are presented.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Part II: Transversal field" class="work-thumbnail" src="https://attachments.academia-assets.com/113156657/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/117249900/Isothermal_tube_flow_of_non_linear_viscoelastic_fluids_Part_II_Transversal_field">Isothermal tube flow of non-linear viscoelastic fluids. Part II: Transversal field</a></div><div class="wp-workCard_item"><span>International Journal of Engineering Science</span><span>, 2011</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Theories and attendant methodologies developed independently of thermodynamic considerations and ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. The state of the art in predicting the longitudinal field, the pressure drop and the friction factors for the flow of generalized Newtonian and viscoelastic fluids in circular and non-circular straight tubes is reviewed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a20f5aad25afcb36e516dd4afa3e007f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":113156657,"asset_id":117249900,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/113156657/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="117249900"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="117249900"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 117249900; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=117249900]").text(description); $(".js-view-count[data-work-id=117249900]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 117249900; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='117249900']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 117249900, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a20f5aad25afcb36e516dd4afa3e007f" } } $('.js-work-strip[data-work-id=117249900]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":117249900,"title":"Isothermal tube flow of non-linear viscoelastic fluids. Part II: Transversal field","translated_title":"","metadata":{"publisher":"Elsevier BV","grobid_abstract":"Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. The state of the art in predicting the longitudinal field, the pressure drop and the friction factors for the flow of generalized Newtonian and viscoelastic fluids in circular and non-circular straight tubes is reviewed.","publication_date":{"day":null,"month":null,"year":2011,"errors":{}},"publication_name":"International Journal of Engineering Science","grobid_abstract_attachment_id":113156657},"translated_abstract":null,"internal_url":"https://www.academia.edu/117249900/Isothermal_tube_flow_of_non_linear_viscoelastic_fluids_Part_II_Transversal_field","translated_internal_url":"","created_at":"2024-04-08T19:03:23.383-07:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":113156657,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156657/thumbnails/1.jpg","file_name":"j.ijengsci.2011.10.00520240409-1-vrhxl8.pdf","download_url":"https://www.academia.edu/attachments/113156657/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Isothermal_tube_flow_of_non_linear_visco.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156657/j.ijengsci.2011.10.00520240409-1-vrhxl8-libre.pdf?1712628620=\u0026response-content-disposition=attachment%3B+filename%3DIsothermal_tube_flow_of_non_linear_visco.pdf\u0026Expires=1736105850\u0026Signature=PLvfXTKlXpgnXq0C~mnqivLxJJMqPMBmPFESIGjUzC9s4sh2mLYsbwclKvrN0ofTP2SyAQJVK82CY4wRYrJ5nmih5hOZY1LCjJ~SJbuu6zIY7At3R~mcfds~lAMNJKOitrBcHDmI~N~PZhJKQKHvyfVaCqpDSEAVmOUF27b5lQgIkKAHrITUVrxRyvwbYVPteRT8VMUzfc2J3tDmT1eG8~ThIZEtMG40hocTZQNglXqf2nw6Z1VKRQIDV5mkZ6PH5oFrGwu5EPMfXoLbWhTnbk-U3eZ6h1C3cu9DnQw~E79JvpT3vV-cqIltwUziF6xtWSr-e7vsX-iP8GnK358KMA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Isothermal_tube_flow_of_non_linear_viscoelastic_fluids_Part_II_Transversal_field","translated_slug":"","page_count":16,"language":"en","content_type":"Work","summary":"Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. The state of the art in predicting the longitudinal field, the pressure drop and the friction factors for the flow of generalized Newtonian and viscoelastic fluids in circular and non-circular straight tubes is reviewed.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[{"id":113156657,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/113156657/thumbnails/1.jpg","file_name":"j.ijengsci.2011.10.00520240409-1-vrhxl8.pdf","download_url":"https://www.academia.edu/attachments/113156657/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Isothermal_tube_flow_of_non_linear_visco.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/113156657/j.ijengsci.2011.10.00520240409-1-vrhxl8-libre.pdf?1712628620=\u0026response-content-disposition=attachment%3B+filename%3DIsothermal_tube_flow_of_non_linear_visco.pdf\u0026Expires=1736105850\u0026Signature=PLvfXTKlXpgnXq0C~mnqivLxJJMqPMBmPFESIGjUzC9s4sh2mLYsbwclKvrN0ofTP2SyAQJVK82CY4wRYrJ5nmih5hOZY1LCjJ~SJbuu6zIY7At3R~mcfds~lAMNJKOitrBcHDmI~N~PZhJKQKHvyfVaCqpDSEAVmOUF27b5lQgIkKAHrITUVrxRyvwbYVPteRT8VMUzfc2J3tDmT1eG8~ThIZEtMG40hocTZQNglXqf2nw6Z1VKRQIDV5mkZ6PH5oFrGwu5EPMfXoLbWhTnbk-U3eZ6h1C3cu9DnQw~E79JvpT3vV-cqIltwUziF6xtWSr-e7vsX-iP8GnK358KMA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":73,"name":"Civil Engineering","url":"https://www.academia.edu/Documents/in/Civil_Engineering"},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":2383,"name":"Viscoelasticity","url":"https://www.academia.edu/Documents/in/Viscoelasticity"},{"id":126982,"name":"Drag","url":"https://www.academia.edu/Documents/in/Drag"},{"id":292588,"name":"Engineering Science","url":"https://www.academia.edu/Documents/in/Engineering_Science"}],"urls":[{"id":40951088,"url":"https://api.elsevier.com/content/article/PII:S0020722510002429?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="99945034"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/99945034/On_the_Flow_of_Viscoplastic_Fluids_in_Non_Circular_Tubes"><img alt="Research paper thumbnail of On the Flow of Viscoplastic Fluids in Non-Circular Tubes" class="work-thumbnail" src="https://attachments.academia-assets.com/101438334/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/99945034/On_the_Flow_of_Viscoplastic_Fluids_in_Non_Circular_Tubes">On the Flow of Viscoplastic Fluids in Non-Circular Tubes</a></div><div class="wp-workCard_item"><span>International Journal of Nonlinear Mechanics</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Steady flow of the viscoplastic Bingham and Herschel-Bulkley (H-B) fluids in tubes of noncircular...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Steady flow of the viscoplastic Bingham and Herschel-Bulkley (H-B) fluids in tubes of noncircular cross-section is investigated analytically. The solution methodology is general in scope, does not put any restrictions on the Bingham number and thus allows the mapping of the flow field for high Bingham numbers in straight tubes with non-circular axially-symmetric but otherwise arbitrary cross-sectional contours. The circular tube contour is mapped onto an arbitrary non-circular contour on which the no-slip condition is satisfied via a one-to-one and continuous mapping. Governing equations are solved for the full spectrum of axially symmetrical cross-sectional shapes and a specific example is developed for the viscoplastic H-B fluid flow in a tube with an equilateral triangular cross-section. The shape and the extent of the plug zones centered on the tube axis and the stagnant zones in the corners are predicted for both Bingham and H-B fluids. The effect of the shear rate dependent viscosity of the H-B fluids, leading to either shear-thickening or shear-thinning behavior, on the formation of the plug and stagnation zones is examined.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="85877f4563971f8efbaab169a86f8853" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":101438334,"asset_id":99945034,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/101438334/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="99945034"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="99945034"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 99945034; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=99945034]").text(description); $(".js-view-count[data-work-id=99945034]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 99945034; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='99945034']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 99945034, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "85877f4563971f8efbaab169a86f8853" } } $('.js-work-strip[data-work-id=99945034]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":99945034,"title":"On the Flow of Viscoplastic Fluids in Non-Circular Tubes","translated_title":"","metadata":{"doi":"10.1016/j.ijnonlinmec.2023.104408","issue":"July","volume":"153","abstract":"Steady flow of the viscoplastic Bingham and Herschel-Bulkley (H-B) fluids in tubes of noncircular cross-section is investigated analytically. The solution methodology is general in scope, does not put any restrictions on the Bingham number and thus allows the mapping of the flow field for high Bingham numbers in straight tubes with non-circular axially-symmetric but otherwise arbitrary cross-sectional contours. The circular tube contour is mapped onto an arbitrary non-circular contour on which the no-slip condition is satisfied via a one-to-one and continuous mapping. Governing equations are solved for the full spectrum of axially symmetrical cross-sectional shapes and a specific example is developed for the viscoplastic H-B fluid flow in a tube with an equilateral triangular cross-section. The shape and the extent of the plug zones centered on the tube axis and the stagnant zones in the corners are predicted for both Bingham and H-B fluids. 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The causes and the evolution of this overstability problem have not yet been investigated in-depth. Numerical simulations of the viscoelastic Rayleigh-Bénard convection (VRBC) have been conducted in this work with viscoelastic working fluids abiding by the nonlinear Phan-Thien-Tanner (PTT) constitutive structure in two-dimensional cavities. To understand the impact of the nonlinearity and the rheological parameters on the mechanism of the regular reverse flow numerical simulations have been performed over the range of β = (0.1, 0.2) (where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of solvent viscosity μs and polymer viscosity μp) and Weissenberg number (We ∈ [0.075, 0.25]), using an in-house finite-difference code. The remaining constitutive parameters of the (PTT) fluid representing elongational and slippage characteristics of the fluid were kept fixed at = 0.1 and ξ = 0.05, respectively. A viscoelastic kinetic-energy budget method was used to analyze the energy transport in this time-dependent reverse flow process. An original parametric analysis is developed to gain an insight into the dynamics of the reversal flow observed recently in our work, Zheng et al. [Phys. Rev. Fluids 7, 023301 (2022)], as well as observed by Park and Ryu [Rheol. Acta 41, 427 (2002)] and Lappa and Boaro [J. Fluid Mech. 904, A2 (2020)]. The emergence of the reversal convection can be explained by the transfer of potential energy between flow and fluid elasticity during the reversal process. The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="653cae4f82f05e8aa8a8045d639d6577" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":99030786,"asset_id":97397587,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/99030786/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97397587"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97397587"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97397587; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97397587]").text(description); $(".js-view-count[data-work-id=97397587]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97397587; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97397587']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 97397587, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "653cae4f82f05e8aa8a8045d639d6577" } } $('.js-work-strip[data-work-id=97397587]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97397587,"title":"Time-dependent Oscillating Viscoelastic Rayleigh-Bénard Convection: Viscoelastic Kinetic Energy Budget Analysis","translated_title":"","metadata":{"doi":"10.1103/PhysRevFluids.8.023303","abstract":"The time-dependent oscillating convection leading to the formation of reverse flowing cells is a special phenomenon induced by viscoelasticity in the Rayleigh-Bénard convection (RBC). 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The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.","internal_url":"https://www.academia.edu/97397587/Time_dependent_Oscillating_Viscoelastic_Rayleigh_B%C3%A9nard_Convection_Viscoelastic_Kinetic_Energy_Budget_Analysis","translated_internal_url":"","created_at":"2023-02-23T03:22:37.558-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39538543,"work_id":97397587,"tagging_user_id":33969261,"tagged_user_id":251906870,"co_author_invite_id":null,"email":"z***n@hrbeu.edu.cn","display_order":1,"name":"Xin Zheng","title":"Time-dependent Oscillating Viscoelastic Rayleigh-Bénard Convection: Viscoelastic Kinetic Energy Budget Analysis"},{"id":39538544,"work_id":97397587,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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The causes and the evolution of this overstability problem have not yet been investigated in-depth. Numerical simulations of the viscoelastic Rayleigh-Bénard convection (VRBC) have been conducted in this work with viscoelastic working fluids abiding by the nonlinear Phan-Thien-Tanner (PTT) constitutive structure in two-dimensional cavities. To understand the impact of the nonlinearity and the rheological parameters on the mechanism of the regular reverse flow numerical simulations have been performed over the range of β = (0.1, 0.2) (where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of solvent viscosity μs and polymer viscosity μp) and Weissenberg number (We ∈ [0.075, 0.25]), using an in-house finite-difference code. The remaining constitutive parameters of the (PTT) fluid representing elongational and slippage characteristics of the fluid were kept fixed at \u0003 = 0.1 and ξ = 0.05, respectively. A viscoelastic kinetic-energy budget method was used to analyze the energy transport in this time-dependent reverse flow process. An original parametric analysis is developed to gain an insight into the dynamics of the reversal flow observed recently in our work, Zheng et al. [Phys. Rev. Fluids 7, 023301 (2022)], as well as observed by Park and Ryu [Rheol. Acta 41, 427 (2002)] and Lappa and Boaro [J. Fluid Mech. 904, A2 (2020)]. The emergence of the reversal convection can be explained by the transfer of potential energy between flow and fluid elasticity during the reversal process. The existence of time phase differences of different potentials in the evolution drive this potential-energy transfers.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Because of the granular nature of the polymer powder, the scattering phenomena causes the photons isotropic travel in the medium, which affects directly the photons' distribution in the powder bed. In this paper, we numerically simulate the laser heat source traveling in a powder polymer bed, as in the SLS process, by introducing the Mie theory with Monte-Carlo method, instead of the Bear-Lambert Law, to correctly represent the heating energy distribution in the material. The obtained energy distribution is then introduced in the energy equation to solve the heat transfer problem in such non homogeneous medium. All the material transformation are also introduced , as the melting process, the coalescence, air diffusion and porosity evolution, based on classical theories. Meanwhile, we carry out a parametric thermal analysis and discussed based on process parameters, like the laser power, laser moving length and the material preheating temperature. Their influence on the temperature evolution is quantified. These analysis results can be used as a guide for providing technical database to SLS process, helpful for various industries in automotive, aerospace and medical areas.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d2f783ff9bd468363636ae771ab0255c" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98533833,"asset_id":96711446,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98533833/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="96711446"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="96711446"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 96711446; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=96711446]").text(description); $(".js-view-count[data-work-id=96711446]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 96711446; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='96711446']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 96711446, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d2f783ff9bd468363636ae771ab0255c" } } $('.js-work-strip[data-work-id=96711446]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":96711446,"title":"Heat Transfer During Polymer Selective Laser Sintering Process: Parametric Analysis","translated_title":"","metadata":{"doi":"10.1115/IMECE2022-96664","abstract":"The laser transmission in the polymer powder bed includes three parts during the selective laser sintering (SLS) process: absorption, reflection, and scattering. Because of the granular nature of the polymer powder, the scattering phenomena causes the photons isotropic travel in the medium, which affects directly the photons' distribution in the powder bed. In this paper, we numerically simulate the laser heat source traveling in a powder polymer bed, as in the SLS process, by introducing the Mie theory with Monte-Carlo method, instead of the Bear-Lambert Law, to correctly represent the heating energy distribution in the material. The obtained energy distribution is then introduced in the energy equation to solve the heat transfer problem in such non homogeneous medium. All the material transformation are also introduced , as the melting process, the coalescence, air diffusion and porosity evolution, based on classical theories. Meanwhile, we carry out a parametric thermal analysis and discussed based on process parameters, like the laser power, laser moving length and the material preheating temperature. Their influence on the temperature evolution is quantified. These analysis results can be used as a guide for providing technical database to SLS process, helpful for various industries in automotive, aerospace and medical areas.","ai_title_tag":"Laser Heat Transfer Analysis in Polymer Sintering Process","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"American Society of Mechanical Engineers"},"translated_abstract":"The laser transmission in the polymer powder bed includes three parts during the selective laser sintering (SLS) process: absorption, reflection, and scattering. Because of the granular nature of the polymer powder, the scattering phenomena causes the photons isotropic travel in the medium, which affects directly the photons' distribution in the powder bed. In this paper, we numerically simulate the laser heat source traveling in a powder polymer bed, as in the SLS process, by introducing the Mie theory with Monte-Carlo method, instead of the Bear-Lambert Law, to correctly represent the heating energy distribution in the material. The obtained energy distribution is then introduced in the energy equation to solve the heat transfer problem in such non homogeneous medium. All the material transformation are also introduced , as the melting process, the coalescence, air diffusion and porosity evolution, based on classical theories. Meanwhile, we carry out a parametric thermal analysis and discussed based on process parameters, like the laser power, laser moving length and the material preheating temperature. Their influence on the temperature evolution is quantified. These analysis results can be used as a guide for providing technical database to SLS process, helpful for various industries in automotive, aerospace and medical areas.","internal_url":"https://www.academia.edu/96711446/Heat_Transfer_During_Polymer_Selective_Laser_Sintering_Process_Parametric_Analysis","translated_internal_url":"","created_at":"2023-02-11T05:20:30.833-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39488035,"work_id":96711446,"tagging_user_id":33969261,"tagged_user_id":null,"co_author_invite_id":7771931,"email":"l***g@insa-lyon.fr","display_order":1,"name":"Lan Zhang","title":"Heat Transfer During Polymer Selective Laser Sintering Process: Parametric Analysis"},{"id":39488036,"work_id":96711446,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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Because of the granular nature of the polymer powder, the scattering phenomena causes the photons isotropic travel in the medium, which affects directly the photons' distribution in the powder bed. In this paper, we numerically simulate the laser heat source traveling in a powder polymer bed, as in the SLS process, by introducing the Mie theory with Monte-Carlo method, instead of the Bear-Lambert Law, to correctly represent the heating energy distribution in the material. The obtained energy distribution is then introduced in the energy equation to solve the heat transfer problem in such non homogeneous medium. All the material transformation are also introduced , as the melting process, the coalescence, air diffusion and porosity evolution, based on classical theories. Meanwhile, we carry out a parametric thermal analysis and discussed based on process parameters, like the laser power, laser moving length and the material preheating temperature. Their influence on the temperature evolution is quantified. These analysis results can be used as a guide for providing technical database to SLS process, helpful for various industries in automotive, aerospace and medical areas.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1805686fb7041e148fea5f7fb543d83b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97914781,"asset_id":95847749,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97914781/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="95847749"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="95847749"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 95847749; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=95847749]").text(description); $(".js-view-count[data-work-id=95847749]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 95847749; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='95847749']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 95847749, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "1805686fb7041e148fea5f7fb543d83b" } } $('.js-work-strip[data-work-id=95847749]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":95847749,"title":"Oscillating Onset of the Rayleigh-Bénard Convection with Viscoelastic Fluids in a Slightly Tilted Cavity","translated_title":"","metadata":{"doi":"10.1063/5.0137501","issue":"2","volume":"35","abstract":"The oscillating onset of the Rayleigh-Bénard convection (RBC) with viscoelastic fluids in a slightly tilted 2-dimension (2D) rectangular cavity with aspect ratio Γ = 2 was investigated for the first time via direct numerical simulation. A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].","ai_title_tag":"Oscillating Rayleigh-Bénard Convection in Tilted Cavity","page_numbers":"023107","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Physics of Fluids"},"translated_abstract":"The oscillating onset of the Rayleigh-Bénard convection (RBC) with viscoelastic fluids in a slightly tilted 2-dimension (2D) rectangular cavity with aspect ratio Γ = 2 was investigated for the first time via direct numerical simulation. A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. But, the evolution of the oscillatory flow structure is very different from the horizontal case in that the counter-clockwise cell assimilates the clockwise cell [Physical Review Fluids 7, 023301 (2022)].","internal_url":"https://www.academia.edu/95847749/Oscillating_Onset_of_the_Rayleigh_B%C3%A9nard_Convection_with_Viscoelastic_Fluids_in_a_Slightly_Tilted_Cavity","translated_internal_url":"","created_at":"2023-01-28T04:56:57.691-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39421567,"work_id":95847749,"tagging_user_id":33969261,"tagged_user_id":251906870,"co_author_invite_id":null,"email":"z***n@hrbeu.edu.cn","display_order":1,"name":"Xin Zheng","title":"Oscillating Onset of the Rayleigh-Bénard Convection with Viscoelastic Fluids in a Slightly Tilted Cavity"},{"id":39421568,"work_id":95847749,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. 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A series of simulations were conducted in the plane of the Rayleigh number (Ra) and the tilt angle (α ∈ [0◦,5◦]) with three Weissenberg numbers (Wi = (0.1,0.15,0.2)) at a fixed Prandtl number Pr = 7.0. The evolutionary path of the oscillating convection onset in the (Wi,α)-plane was determined and corresponding complex flow structures were observed. The inclination of the box delays the onset of the oscillations and the corresponding Rayleigh number Rac as compared to the horizontal configuration. Oscillating flow structures acquire the attributes of a traveling wave. A specific feature of the oscillating convection in the case of the horizontal cavity, the periodicity in space and time exists in the inclined box case as well. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="93495451"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/93495451/Pattern_Selection_and_Heat_Transfer_in_the_Rayleigh_B%C3%A9nard_Convection_Near_the_Vicinity_of_the_Convection_Onset_with_Viscoelastic_Fluids"><img alt="Research paper thumbnail of Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/101489243/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/93495451/Pattern_Selection_and_Heat_Transfer_in_the_Rayleigh_B%C3%A9nard_Convection_Near_the_Vicinity_of_the_Convection_Onset_with_Viscoelastic_Fluids">Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids</a></div><div class="wp-workCard_item wp-workCard--coauthors"><span>by </span><span><a class="" data-click-track="profile-work-strip-authors" href="https://usach.academia.edu/DennisSiginer">Dennis A . Siginer</a>, <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/WeiHuaCai2">Wei-Hua Cai</a>, and <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/XinZheng43">Xin Zheng</a></span></div><div class="wp-workCard_item"><span>Physics of Fluids</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (R...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. However, heat transfer enhancement occurs if multiple pairs of rolls are induced.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9c462cda77428feb10e40cd5b68eeb45" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":101489243,"asset_id":93495451,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/101489243/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="93495451"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="93495451"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 93495451; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=93495451]").text(description); $(".js-view-count[data-work-id=93495451]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 93495451; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='93495451']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 93495451, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9c462cda77428feb10e40cd5b68eeb45" } } $('.js-work-strip[data-work-id=93495451]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":93495451,"title":"Pattern Selection and Heat Transfer in the Rayleigh-Bénard Convection Near the Vicinity of the Convection Onset with Viscoelastic Fluids","translated_title":"","metadata":{"doi":"10.1063/5.0132949","issue":"1","volume":"35","abstract":"The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. 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The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. However, heat transfer enhancement occurs if multiple pairs of rolls are induced.","page_numbers":"013104","publication_date":{"day":null,"month":null,"year":2023,"errors":{}},"publication_name":"Physics of Fluids"},"translated_abstract":"The effect of viscoelasticity on the flow and heat transport in the Rayleigh-Bénard convection (RBC) in a rectangular with horizontal periodic boundary is investigated via direct numerical simulation. The working fluid is described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model that is able to capture some of the most important polymeric flow behaviors. Numerical simulations are conducted at a low concentration β = 0.9, where β = μs/μ0, μs is the solvent viscosity, μ0 = μs + μp is sum of μs and the polymer viscosity μp. A parametric analysis is performed to understand the influence of the Weissenberg number Wi, the viscosity ratio β and the extension length L on the oscillating mode of the viscoelastic RBC. It is found that both Wi and β weakly inhibit the convection onset and the transition from steady to oscillatory convection. The amplitude and frequency of the oscillations in the oscillatory flow regime are both suppressed. However, the elastic nonlinearity may make the flow transition irregular and even may bring about the relaminarization or lead to the convection cells traveling in the horizontal direction. The extension length L may induce multiple pairs of roll flow patterns at a specific setting of (Ra, Wi). Heat transport is reduced by elasticity but still obeys the power law with Ra if the flow pattern has one pair of rolls. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="91548152"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study"><img alt="Research paper thumbnail of Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study" class="work-thumbnail" src="https://attachments.academia-assets.com/94804684/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study">Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study</a></div><div class="wp-workCard_item"><span>Journal of Fluids Engineering</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A comprehensive study of the rheological characterization of the aqueous solutions of polyethylen...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="af2a99478cbd82c167acb2d7abce91f7" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":94804684,"asset_id":91548152,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/94804684/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="91548152"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="91548152"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 91548152; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=91548152]").text(description); $(".js-view-count[data-work-id=91548152]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 91548152; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='91548152']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 91548152, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "af2a99478cbd82c167acb2d7abce91f7" } } $('.js-work-strip[data-work-id=91548152]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":91548152,"title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study","translated_title":"","metadata":{"doi":"10.1115/1.4056160","abstract":"A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","publication_date":{"day":null,"month":null,"year":2022,"errors":{}},"publication_name":"Journal of Fluids Engineering"},"translated_abstract":"A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","internal_url":"https://www.academia.edu/91548152/Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study","translated_internal_url":"","created_at":"2022-11-24T19:20:39.454-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":39112456,"work_id":91548152,"tagging_user_id":33969261,"tagged_user_id":null,"co_author_invite_id":7197942,"email":"h***d@insa-lyon.fr","display_order":1,"name":"Hafiz Ahmad","title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study"},{"id":39112457,"work_id":91548152,"tagging_user_id":33969261,"tagged_user_id":38889239,"co_author_invite_id":null,"email":"m***s@insa-lyon.fr","display_order":2,"name":"M. Boutaous","title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study"},{"id":39112458,"work_id":91548152,"tagging_user_id":33969261,"tagged_user_id":50305661,"co_author_invite_id":null,"email":"s***n@insa-lyon.fr","display_order":3,"name":"S. Xin","title":"Rheological Characterization of High-Molecular-Weight Polyethylene Oxide-An Extensive Parametric Experimental Study"}],"downloadable_attachments":[{"id":94804684,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/94804684/thumbnails/1.jpg","file_name":"FE_22_1314_Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide.pdf","download_url":"https://www.academia.edu/attachments/94804684/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Rheological_Characterization_of_High_Mol.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/94804684/FE_22_1314_Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide-libre.pdf?1669347540=\u0026response-content-disposition=attachment%3B+filename%3DRheological_Characterization_of_High_Mol.pdf\u0026Expires=1736105851\u0026Signature=LwspWf~7LyKskZQYiFUwhuZoe-PoiJJkD6cYMprs3i9tJjTkpnzjSI4ajnQMPXKu15lAJBxo~2ZL9SRyoVQ-jJU4envQZyUkg7602ebaEmh1xVmAcT2NQ9Yi0uxkGWWafhhQvo-ZbjGVBnni4G09aDYG2Fe54~fRMH4bgGPotMf9hCloTlALGrFBsQJT1XFP0LiIm-w7l0To9dv0wd9rSXIEfGY09JMRSAstZe7vQeZNfi9Ac-6Vx9S3VdadmjtteaVuZ2QjWMztYC8gL9R~coEqMqdPyytQtCT85~EQzjDMTEx6KrknL5qD-Ci1qbWttt4V7lM9AFJYetnaS30xQA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Rheological_Characterization_of_High_Molecular_Weight_Polyethylene_Oxide_An_Extensive_Parametric_Experimental_Study","translated_slug":"","page_count":11,"language":"en","content_type":"Work","summary":"A comprehensive study of the rheological characterization of the aqueous solutions of polyethylene oxide (PEO) with molecular mass of 4 Â 10 6 , 5 Â 10 6 , and 8 Â 10 6 g/mol, respectively, named (4 miDA), (5 miDA), and (8 miDA) was conducted. A large batch of samples of 4 miDA PEO with concentrations varying from 0.1% to 3%, representing the range of dilute solutions to very high viscous hydrated gels, were tested. Steady-state shear flow and oscillatory measurements are reported. Cross, Carreau, and Carreau-Yasuda models were used to describe the shear-thinning behavior within the shear rate range (0.001 _ c 3000 s À1). Experimental findings were validated with published results under the same operating conditions within specified shear rate ranges (0.1 _ c 100 s À1). We find that the behavior of PEO under shear is highly dependent on the rheometer, material, and operating procedures. Oscillatory measurements were carried out to determine the complex properties of the PEO solutions in the frequency x and strain amplitude c ranges of 0.01 x 100 rad/s and 0.01 c 1000%, respectively. Higher magnitudes of dynamic moduli (G / and G //), zero (g 0) and infinite (g 1) shear rate viscosities, resonant frequencies (x res), linear viscoelastic regions (LVER), and higher relaxation time constants (k) were observed with increasing concentration and molecular weight. The rheological response of the PEO polymeric solutions was further clarified via Lissajous curves. The aim of this work is to characterize the behavior of the 4 miDA PEO prior to its use in an experimental investigation of the secondary flows of viscoelastic fluids in noncircular channels.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries. It is critically important that the behavior of non-colloidal suspensions under forcing is predicted on a sound basis from an industrial operational point of view not to mention the fundamental scientific significance, thus the raison d'être of the present work, a comprehensive up-to-date review of constitutive equations formulated to describe the flow of suspensions either dilute or dense under driving forces. This review only takes up the formulation of constitutive structures for non-colloidal suspensions and does not get into the rheology of suspensions per se. Thus, it is substantially more comprehensive in that sense than other reviews, which may have been published over the last two decades. It is also written not only for researchers in the field, but for those in related fields as well who may find it interesting, useful and related to their own research. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory in their historical context and the reasons behind them. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3ae3abd9e262d59ad08549f31382f05a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":82555699,"asset_id":72459214,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/82555699/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="72459214"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="72459214"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 72459214; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=72459214]").text(description); $(".js-view-count[data-work-id=72459214]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 72459214; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='72459214']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 72459214, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "3ae3abd9e262d59ad08549f31382f05a" } } $('.js-work-strip[data-work-id=72459214]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":72459214,"title":"Constitutive Formulations for Non-Colloidal Suspensions","translated_title":"","metadata":{"doi":"10.1016/j.molliq.2022.118786","abstract":"This work is a comprehensive overall view of a complex field still far from being settled on firm grounds, that of the constitutive structure of non-colloidal suspensions. Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries. It is critically important that the behavior of non-colloidal suspensions under forcing is predicted on a sound basis from an industrial operational point of view not to mention the fundamental scientific significance, thus the raison d'être of the present work, a comprehensive up-to-date review of constitutive equations formulated to describe the flow of suspensions either dilute or dense under driving forces. This review only takes up the formulation of constitutive structures for non-colloidal suspensions and does not get into the rheology of suspensions per se. Thus, it is substantially more comprehensive in that sense than other reviews, which may have been published over the last two decades. It is also written not only for researchers in the field, but for those in related fields as well who may find it interesting, useful and related to their own research. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory in their historical context and the reasons behind them. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.","publication_date":{"day":null,"month":null,"year":2022,"errors":{}},"publication_name":"Journal of Molecular Liquids"},"translated_abstract":"This work is a comprehensive overall view of a complex field still far from being settled on firm grounds, that of the constitutive structure of non-colloidal suspensions. Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries. It is critically important that the behavior of non-colloidal suspensions under forcing is predicted on a sound basis from an industrial operational point of view not to mention the fundamental scientific significance, thus the raison d'être of the present work, a comprehensive up-to-date review of constitutive equations formulated to describe the flow of suspensions either dilute or dense under driving forces. This review only takes up the formulation of constitutive structures for non-colloidal suspensions and does not get into the rheology of suspensions per se. Thus, it is substantially more comprehensive in that sense than other reviews, which may have been published over the last two decades. It is also written not only for researchers in the field, but for those in related fields as well who may find it interesting, useful and related to their own research. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory in their historical context and the reasons behind them. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. 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Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory in their historical context and the reasons behind them. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="72419820"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/72419820/Pattern_Selection_in_Rayleigh_B%C3%A9nard_Convection_with_Non_Linear_Viscoelastic_Fluids"><img alt="Research paper thumbnail of Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/81800192/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/72419820/Pattern_Selection_in_Rayleigh_B%C3%A9nard_Convection_with_Non_Linear_Viscoelastic_Fluids">Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids</a></div><div class="wp-workCard_item"><span>Physical Review Fluids</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of no...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of non-linear viscoelastic fluids represented by the Phan Thien-Tanner (PTT) constitutive equation is investigated numerically. Governing equations are discretized by finite difference methods in space and time. The momentum and PTT constitutive equations are written in a quasi-linear formulation. Quasi-linear terms are treated with the High-Order Upwind Central (HOUC) method and velocity-pressure coupling is handled through the projection method. The developed model is validated for Oldroyd-B type of working fluids. The onset of time-dependent convection is observed and the critical Rayleigh number is determined for PTT type of fluids. Time-dependent flow pattern transition is investigated and explained. Transition from time-dependent flow to steady-state flow is observed at a higher Rayleigh number and the corresponding critical Rayleigh number is computed, for the first time in the literature. This is a new original finding. The effect of the rheological parameters on heat transfer is investigated.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f788d7073907ad5c33ca7c7e662293cf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":81800192,"asset_id":72419820,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/81800192/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="72419820"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="72419820"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 72419820; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=72419820]").text(description); $(".js-view-count[data-work-id=72419820]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 72419820; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='72419820']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 72419820, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f788d7073907ad5c33ca7c7e662293cf" } } $('.js-work-strip[data-work-id=72419820]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":72419820,"title":"Pattern Selection in Rayleigh Bénard Convection with Non-Linear Viscoelastic Fluids","translated_title":"","metadata":{"doi":"10.1103/PhysRevFluids.7.023301","issue":"2","volume":"7","abstract":"Rayleigh-Bénard convection in a rectangular enclosure of aspect ratio 2:1 filled by a class of non-linear viscoelastic fluids represented by the Phan Thien-Tanner (PTT) constitutive equation is investigated numerically. 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Siginer</a> and <a class="" data-click-track="profile-work-strip-authors" href="https://independent.academia.edu/MarioLetelier">Mario Letelier</a></span></div><div class="wp-workCard_item"><span>Journal of Fluids Engineering</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The shape, size and location of the stagnation zone between flat non-parallel walls that make up ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. We show that the stagnant area is bounded by a convex meniscus whose size depends on the degree of plasticity and the vertex angle. The maximum and minimum energy dissipation occurs at the wall and at the bisectrix, respectively. The stagnant zone can be altogether avoided by modifying the shape of the wall in the corner area. A new design of the cross-section of the tube that allows reducing or eliminating this area to optimize the mass transport is developed. Two optimal solutions a vertex with a straight cut and a concavely curved vertex are proposed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="95c07d960f82022185671491b4a11c80" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":82405140,"asset_id":63921222,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/82405140/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="63921222"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="63921222"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 63921222; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=63921222]").text(description); $(".js-view-count[data-work-id=63921222]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 63921222; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='63921222']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 63921222, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "95c07d960f82022185671491b4a11c80" } } $('.js-work-strip[data-work-id=63921222]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":63921222,"title":"Stagnation Zone Near a Corner in Viscoplastic Fluid Flow","translated_title":"","metadata":{"doi":"10.1115/1.4053165","issue":"7","volume":"144","abstract":"The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. We show that the stagnant area is bounded by a convex meniscus whose size depends on the degree of plasticity and the vertex angle. The maximum and minimum energy dissipation occurs at the wall and at the bisectrix, respectively. The stagnant zone can be altogether avoided by modifying the shape of the wall in the corner area. A new design of the cross-section of the tube that allows reducing or eliminating this area to optimize the mass transport is developed. Two optimal solutions a vertex with a straight cut and a concavely curved vertex are proposed.","page_numbers":"071301-1/071301-9","publication_date":{"day":null,"month":null,"year":2021,"errors":{}},"publication_name":"Journal of Fluids Engineering"},"translated_abstract":"The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. 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Two optimal solutions a vertex with a straight cut and a concavely curved vertex are proposed.","internal_url":"https://www.academia.edu/63921222/Stagnation_Zone_Near_a_Corner_in_Viscoplastic_Fluid_Flow","translated_internal_url":"","created_at":"2021-12-12T11:35:27.190-08:00","section":"Papers","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[{"id":37228958,"work_id":63921222,"tagging_user_id":33969261,"tagged_user_id":46747754,"co_author_invite_id":null,"email":"m***r@usach.cl","display_order":1,"name":"Mario Letelier","title":"Stagnation Zone Near a Corner in Viscoplastic Fluid Flow"},{"id":37228959,"work_id":63921222,"tagging_user_id":33969261,"tagged_user_id":39554100,"co_author_invite_id":null,"email":"j***7@gmail.com","affiliation":"Universidad Diego Portales","display_order":2,"name":"Juan Stockle","title":"Stagnation Zone Near a Corner in Viscoplastic Fluid Flow"}],"downloadable_attachments":[{"id":82405140,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/82405140/thumbnails/1.jpg","file_name":"Stagnation_Zone_Near_a_Corner.pdf","download_url":"https://www.academia.edu/attachments/82405140/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Stagnation_Zone_Near_a_Corner_in_Viscopl.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/82405140/Stagnation_Zone_Near_a_Corner-libre.pdf?1647804750=\u0026response-content-disposition=attachment%3B+filename%3DStagnation_Zone_Near_a_Corner_in_Viscopl.pdf\u0026Expires=1736105851\u0026Signature=QnDE1GFIzsRW8aivHIKgXFgf5RxlZjEXT6G49OOzjHOBG8TRt4cZMo5Tkffkd~sJcly7RPyKF752A-VuYySfsS7fJUVbhKqVNOQymVC41RAKaiwp4OZYlOzVOvtFrr1haqFmL5iB7OhufXskRcfRpqOhJ5hR5E4KpA4Uvk2RpDEJuT~~n6z~NDApeQGliCA5OdlhFhKRcWUF~A4JorJBVP2HueJ6lIHqGPlFVEMtAdz-FpjXhtguIQlnIH7fUjXZV8HM~OnqECkdTlEROEI80BtcySpqHRcZLjtUhptRSmEPJkMvdT2v2znsjtNzlDqHOBaLVvbzXKDWZRh~Ux2ukg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Stagnation_Zone_Near_a_Corner_in_Viscoplastic_Fluid_Flow","translated_slug":"","page_count":9,"language":"en","content_type":"Work","summary":"The shape, size and location of the stagnation zone between flat non-parallel walls that make up the corner of a tube with non-circular cross-section through which a phase change material of the Bingham plastic type flows is investigated. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="51962213"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/51962213/Inertial_Diffusivity_of_Non_Colloidal_Particles_in_Unbounded_Suspending_Media_and_Numerical_Simulations"><img alt="Research paper thumbnail of Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations" class="work-thumbnail" src="https://attachments.academia-assets.com/70107337/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/51962213/Inertial_Diffusivity_of_Non_Colloidal_Particles_in_Unbounded_Suspending_Media_and_Numerical_Simulations">Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations</a></div><div class="wp-workCard_item"><span>Journal of Molecular Liquids</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of di...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries adding more emphasis to the fundamental challenge of predicting on a sound basis the rheological properties as well as the constitutive structure of non-colloidal suspensions under forcing. Thus, the raison d'être of the present work, a comprehensive up-to-date review of an important segment of the non-colloidal suspension mechanics covering the inertial diffusivity of non-colloidal particles in suspension in an unbounded Newtonian fluid medium followed by the closely related review of the numerical simulations of unbounded suspensions. The presence of the boundaries introduces extensive complications and the progress made in inertial and shear induced self-diffusivity in bounded Newtonian and viscoelastic suspending media will be covered in an upcoming review article dedicated to this topic. Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them expounded within the framework of their historical context. The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="0b41871da8eae97f15ffc30988b975a0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":70107337,"asset_id":51962213,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/70107337/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="51962213"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="51962213"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 51962213; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=51962213]").text(description); $(".js-view-count[data-work-id=51962213]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 51962213; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='51962213']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 51962213, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "0b41871da8eae97f15ffc30988b975a0" } } $('.js-work-strip[data-work-id=51962213]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":51962213,"title":"Inertial Diffusivity of Non-Colloidal Particles in Unbounded Suspending Media and Numerical Simulations","translated_title":"","metadata":{"doi":"10.1016/j.molliq.2021.117471","abstract":"ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries adding more emphasis to the fundamental challenge of predicting on a sound basis the rheological properties as well as the constitutive structure of non-colloidal suspensions under forcing. 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The link between different theories and the naturally unfolding succession of theories over time borne out of the necessity for better predictions as well as the challenges in the field at this time are given much emphasis at the expanse of a detailed in-depth account of various theories. For a detailed in-depth exposition, the reader is referred to the extensive reference list.","publication_date":{"day":null,"month":null,"year":2021,"errors":{}},"publication_name":"Journal of Molecular Liquids"},"translated_abstract":"ABSTRACT: Suspensions in industrial manufacturing processes are prevalent across a spectrum of diverse industries adding more emphasis to the fundamental challenge of predicting on a sound basis the rheological properties as well as the constitutive structure of non-colloidal suspensions under forcing. 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Siginer</a></span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The eigenvalue problem of holomorphic functions on the unit disc for the third boundary condition...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The eigenvalue problem of holomorphic functions on the unit disc for<br />the third boundary condition with general coefficient is studied using Fourier analysis.<br />With a general anti-polynomial coefficient a variable number of additional boundary<br />conditions need to be imposed to determine the eigenvalue uniquely. An additional<br />boundary condition is required to obtain a unique eigenvalue when the coefficient includes<br />an essential singularity rather than a pole. In either case explicit solutions are derived.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="261176c3cd688f1c2f5c6a1de7232ac4" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67626847,"asset_id":49242880,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67626847/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49242880"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49242880"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49242880; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49242880]").text(description); $(".js-view-count[data-work-id=49242880]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49242880; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49242880']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49242880, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "261176c3cd688f1c2f5c6a1de7232ac4" } } $('.js-work-strip[data-work-id=49242880]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49242880,"title":"EIGENVALUES OF HOLOMORPHIC FUNCTIONS FOR THE THIRD BOUNDARY CONDITION","translated_title":"","metadata":{"abstract":"The eigenvalue problem of holomorphic functions on the unit disc for\nthe third boundary condition with general coefficient is studied using Fourier analysis.\nWith a general anti-polynomial coefficient a variable number of additional boundary\nconditions need to be imposed to determine the eigenvalue uniquely. 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Effects of several process parameters as well as material properties on the balling phenomenon are investigated. Simulation results compare well to the experimental findings in the literature.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fd096a474d6231bad13ecfbe7074eacb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67615968,"asset_id":49231982,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67615968/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49231982"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49231982"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49231982; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49231982]").text(description); $(".js-view-count[data-work-id=49231982]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49231982; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49231982']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49231982, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fd096a474d6231bad13ecfbe7074eacb" } } $('.js-work-strip[data-work-id=49231982]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49231982,"title":"Balling Phenomenon in Metallic Laser Based 3D Printing Process","translated_title":"","metadata":{"doi":"10.1016/j.ijthermalsci.2021.107011","abstract":"ABSTRACT: A comprehensive model is developed coupling major physical phenomena inherent to the Selective Laser Melting process together with a 3D numerical model based on the discrete element method to study the effect of the process parameters on the generation of balling droplets in the laser melting process. 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The governing equation is formulated with Caputo-Fabrizio time fractional derivatives whose orders are distributed in the interval [0, 1). The linear momentum and the Poisson-Boltzmann equations are solved analytically in tandem in the triangular region with the help of the Helmholtz eigenvalue problem and Laplace transforms. The analytical solution developed is exact. The solution technique used is new, leads to exact solutions, is completely different from those available in the literature, and applies to other similar problems. The new expression for the velocity field displays experimentally observed 'velocity overshoot' as opposed to existing analytical studies none of which can predict the overshoot phenomenon. We show that when Caputo-Fabrizio time-fractional derivatives approach unity the exact solution for the classical upper convected Maxwell fluid is obtained. The presence of elasticity in the constitutive structure alters the Newtonian velocity profiles drastically. The influence of pertinent parameters on the flow field is explored.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="573848d4c46761628d8a9f706207564f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":67460036,"asset_id":49068591,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/67460036/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="49068591"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="49068591"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 49068591; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=49068591]").text(description); $(".js-view-count[data-work-id=49068591]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 49068591; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='49068591']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 49068591, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "573848d4c46761628d8a9f706207564f" } } $('.js-work-strip[data-work-id=49068591]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":49068591,"title":"Exact Solution of the Startup Electroosmotic Flow of Generalized Maxwell Fluids in Triangular Microducts","translated_title":"","metadata":{"doi":"10.1115/1.4050940","abstract":"ABSTRACT: The unsteady electroosmotic flow of generalized Maxwell fluids in triangular microducts is investigated. 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The variation of the average Nusselt number Nu with the Weissenberg Wi and Reynolds Re numbers in cross-sections with n axes of symmetry is analyzed. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. The base flow is the Newtonian field and is obtained at the lowest order. Heat transfer enhancements represented by average Nusselt numbers of an order of magnitude larger as compared to their Newtonian counterparts are predicted as a function of the Reynolds and Weissenberg numbers even for slightly non-Newtonian, dilute fluids. The asymptotic independence of Nu = f(Pe,Wi) goes to Nu = f(Pe)  with increasing Wi is shown analytically for the first time. The implications on the heat transfer enhancement of the change of type of the vorticity equation is discussed for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The coupling between viscoelastic and inertial non-linearities is crucial to enhancement. Fluid vorticity will change type when the velocity in the centre of the tube is larger than a critical value defined by the propagation of the shear waves. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region away from the wall controlled by the viscoelastic Mach number M and the Elasticity number E and its interaction with the growing strength of the secondary flows with Wi. The physics of the intertwined effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="46849983"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="46849983"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 46849983; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=46849983]").text(description); $(".js-view-count[data-work-id=46849983]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 46849983; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='46849983']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 46849983, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=46849983]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":46849983,"title":"Interplay of Elasticity and Inertia and the Role of Vorticity Type Change in Enhancing Heat Transfer in Tube Flow of Non-linear Viscoelastic Fluids","translated_title":"","metadata":{"abstract":"ABSTRACT: Heat transfer enhancement in steady pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids in straight tubes of non-circular cross-section at constant temperature is discussed together with the flow structure, and the physics is clarified. The variation of the average Nusselt number Nu with the Weissenberg Wi and Reynolds Re numbers in cross-sections with n axes of symmetry is analyzed. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. The base flow is the Newtonian field and is obtained at the lowest order. Heat transfer enhancements represented by average Nusselt numbers of an order of magnitude larger as compared to their Newtonian counterparts are predicted as a function of the Reynolds and Weissenberg numbers even for slightly non-Newtonian, dilute fluids. The asymptotic independence of Nu = f(Pe,Wi) goes to Nu = f(Pe) with increasing Wi is shown analytically for the first time. The implications on the heat transfer enhancement of the change of type of the vorticity equation is discussed for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The coupling between viscoelastic and inertial non-linearities is crucial to enhancement. Fluid vorticity will change type when the velocity in the centre of the tube is larger than a critical value defined by the propagation of the shear waves. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region away from the wall controlled by the viscoelastic Mach number M and the Elasticity number E and its interaction with the growing strength of the secondary flows with Wi. The physics of the intertwined effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed.","publication_date":{"day":null,"month":null,"year":2008,"errors":{}},"publication_name":"24th Annual Meeting of the Polymer Processing Society (PPS-24), Paper No. S08‐102"},"translated_abstract":"ABSTRACT: Heat transfer enhancement in steady pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids in straight tubes of non-circular cross-section at constant temperature is discussed together with the flow structure, and the physics is clarified. The variation of the average Nusselt number Nu with the Weissenberg Wi and Reynolds Re numbers in cross-sections with n axes of symmetry is analyzed. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. The base flow is the Newtonian field and is obtained at the lowest order. Heat transfer enhancements represented by average Nusselt numbers of an order of magnitude larger as compared to their Newtonian counterparts are predicted as a function of the Reynolds and Weissenberg numbers even for slightly non-Newtonian, dilute fluids. The asymptotic independence of Nu = f(Pe,Wi) goes to Nu = f(Pe) with increasing Wi is shown analytically for the first time. The implications on the heat transfer enhancement of the change of type of the vorticity equation is discussed for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The coupling between viscoelastic and inertial non-linearities is crucial to enhancement. Fluid vorticity will change type when the velocity in the centre of the tube is larger than a critical value defined by the propagation of the shear waves. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region away from the wall controlled by the viscoelastic Mach number M and the Elasticity number E and its interaction with the growing strength of the secondary flows with Wi. The physics of the intertwined effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed.","internal_url":"https://www.academia.edu/46849983/Interplay_of_Elasticity_and_Inertia_and_the_Role_of_Vorticity_Type_Change_in_Enhancing_Heat_Transfer_in_Tube_Flow_of_Non_linear_Viscoelastic_Fluids","translated_internal_url":"","created_at":"2021-04-14T00:21:15.078-07:00","section":"Conference Presentations","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"conference_presentation","co_author_tags":[],"downloadable_attachments":[],"slug":"Interplay_of_Elasticity_and_Inertia_and_the_Role_of_Vorticity_Type_Change_in_Enhancing_Heat_Transfer_in_Tube_Flow_of_Non_linear_Viscoelastic_Fluids","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT: Heat transfer enhancement in steady pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids in straight tubes of non-circular cross-section at constant temperature is discussed together with the flow structure, and the physics is clarified. The variation of the average Nusselt number Nu with the Weissenberg Wi and Reynolds Re numbers in cross-sections with n axes of symmetry is analyzed. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. The base flow is the Newtonian field and is obtained at the lowest order. Heat transfer enhancements represented by average Nusselt numbers of an order of magnitude larger as compared to their Newtonian counterparts are predicted as a function of the Reynolds and Weissenberg numbers even for slightly non-Newtonian, dilute fluids. The asymptotic independence of Nu = f(Pe,Wi) goes to Nu = f(Pe) with increasing Wi is shown analytically for the first time. The implications on the heat transfer enhancement of the change of type of the vorticity equation is discussed for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The coupling between viscoelastic and inertial non-linearities is crucial to enhancement. Fluid vorticity will change type when the velocity in the centre of the tube is larger than a critical value defined by the propagation of the shear waves. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region away from the wall controlled by the viscoelastic Mach number M and the Elasticity number E and its interaction with the growing strength of the secondary flows with Wi. The physics of the intertwined effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45672593"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45672593/Inelastic_and_Newtonian_Flow_Instabilities_and_Related_Heat_Transfer_in_Inclined_Boxes"><img alt="Research paper thumbnail of Inelastic and Newtonian Flow Instabilities and Related Heat Transfer in Inclined Boxes" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45672593/Inelastic_and_Newtonian_Flow_Instabilities_and_Related_Heat_Transfer_in_Inclined_Boxes">Inelastic and Newtonian Flow Instabilities and Related Heat Transfer in Inclined Boxes</a></div><div class="wp-workCard_item"><span>Conference: ASME IMECE - American Society of Mechanical Engineers International Mechanical Engineering Congress & Exposition, Vancouver, British Columbia, Canada; Volume: Paper #: IMECE2010-38712; ISBN: 978-0-7918-3891-4</span><span>, 2010</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45672593"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45672593"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45672593; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45672593]").text(description); 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Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering"},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics"},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer"},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics"},{"id":33661,"name":"Heat and Mass Transfer","url":"https://www.academia.edu/Documents/in/Heat_and_Mass_Transfer"},{"id":96281,"name":"Applied mathematics and Modelling","url":"https://www.academia.edu/Documents/in/Applied_mathematics_and_Modelling"},{"id":146586,"name":"Non-newtonian Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Non-newtonian_Fluid_Mechanics"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45672142"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45672142/Drainage_of_Thin_Viscoelastic_Films"><img alt="Research paper thumbnail of Drainage of Thin Viscoelastic Films" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45672142/Drainage_of_Thin_Viscoelastic_Films">Drainage of Thin Viscoelastic Films</a></div><div class="wp-workCard_item"><span>Conference: ASME IMECE, Vancouver, British Columbia, Canada, Volume: DVD Proceedings, paper IMECE2010-38717</span><span>, 2010</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45672142"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45672142"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45672142; 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dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45672142]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45672142,"title":"Drainage of Thin Viscoelastic Films","translated_title":"","metadata":{"publication_date":{"day":null,"month":null,"year":2010,"errors":{}},"publication_name":"Conference: ASME IMECE, Vancouver, British Columbia, Canada, Volume: DVD Proceedings, paper IMECE2010-38717"},"translated_abstract":null,"internal_url":"https://www.academia.edu/45672142/Drainage_of_Thin_Viscoelastic_Films","translated_internal_url":"","created_at":"2021-04-03T12:23:53.491-07:00","section":"Conference Presentations","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"conference_presentation","co_author_tags":[{"id":36403717,"work_id":45672142,"tagging_user_id":33969261,"tagged_user_id":null,"co_author_invite_id":3774033,"email":"a***z@omu.edu.tr","display_order":0,"name":"Fahir Akyildiz","title":"Drainage of Thin Viscoelastic Films"}],"downloadable_attachments":[],"slug":"Drainage_of_Thin_Viscoelastic_Films","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":null,"owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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The dom...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The numerical solution of the free boundary evolution equation for foams is investigated. The domain with free boundary is mapped to a fixed domain via a change of independent variable; the resulting singular nonlinear partial differential equation is transformed into a nonlinear partial differential equation by a change of dependent variable. After using domain truncation, convergence of the variable step size backward Euler discretization is discussed. Numerical algorithms based on the backward difference and implicit Crank-Nicolson are proposed for solving the field equations and comparative results are presented. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45665390"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45665390/Analytical_Solution_for_Laminar_Flow_in_Transversally_Corrugated_Microtubes"><img alt="Research paper thumbnail of Analytical Solution for Laminar Flow in Transversally Corrugated Microtubes" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45665390/Analytical_Solution_for_Laminar_Flow_in_Transversally_Corrugated_Microtubes">Analytical Solution for Laminar Flow in Transversally Corrugated Microtubes</a></div><div class="wp-workCard_item"><span>Conference: ASME IMECE, Vancouver, British Columbia, Volume: DVD Proceedings, paper IMECE2010-38717</span><span>, 2010</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45665390"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45665390"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45665390; 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Singular solutions for a range of values of the Weissenberg number are presented and the results of Renardy (J. Non-Newtonian Fluid Mech. 138 (2006) 204-205), and Becherer et al. (J. Non-Newtonian Fluid Mech. 153 (2008) 183-190) are deduced for the case of upper convected Maxwell (UCM) fluid and one independent spatial variable. The effect of variable boundary data at the inflow can be studied as viscoelastic stresses over two spatial variables are considered. As such, our results are applicable to a wider range of flow problems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45653169"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45653169"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45653169; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45653169]").text(description); $(".js-view-count[data-work-id=45653169]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45653169; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45653169']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45653169, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45653169]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45653169,"title":"Structures in Extensional Flow of Viscoelastic Fluids","translated_title":"","metadata":{"abstract":"Exact solutions of partial differential equations describing the evolution of viscoelastic stresses are presented in the extensional flow of fluids whose constitutive response may be described by Oldroyd and Giesekus models. 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Non-Newtonian Fluid Mech. 138 (2006) 204-205), and Becherer et al. (J. Non-Newtonian Fluid Mech. 153 (2008) 183-190) are deduced for the case of upper convected Maxwell (UCM) fluid and one independent spatial variable. The effect of variable boundary data at the inflow can be studied as viscoelastic stresses over two spatial variables are considered. As such, our results are applicable to a wider range of flow problems.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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</script> <div class="js-work-strip profile--work_container" data-work-id="45646145"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45646145/Heat_Transfer_Enhancement_in_Internal_Flows_of_Complex_Fluids"><img alt="Research paper thumbnail of Heat Transfer Enhancement in Internal Flows of Complex Fluids" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45646145/Heat_Transfer_Enhancement_in_Internal_Flows_of_Complex_Fluids">Heat Transfer Enhancement in Internal Flows of Complex Fluids</a></div><div class="wp-workCard_item"><span>Conference: 43rd Technical Meeting of the Society of Engineering Science-SES, Pennsylvania State University, State College, PA USA, August 13-16, 2006, Volume: Proceedings</span><span>, 2006</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45646145"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45646145"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45646145; 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} }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45637837"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45637837/Enhanced_Heat_Transfer_and_Change_of_Type_of_Vorticity_in_Tube_Flow_of_Constitutively_Non_linear_Fluids"><img alt="Research paper thumbnail of Enhanced Heat Transfer and Change of Type of Vorticity in Tube Flow of Constitutively Non-linear Fluids" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45637837/Enhanced_Heat_Transfer_and_Change_of_Type_of_Vorticity_in_Tube_Flow_of_Constitutively_Non_linear_Fluids">Enhanced Heat Transfer and Change of Type of Vorticity in Tube Flow of Constitutively Non-linear Fluids</a></div><div class="wp-workCard_item"><span>Conference: 3rd International Conference on Thermal Engineering, Amman, Jordan, May 21-23, 2007, Amman, Jordan, May 21-23, 2007, Volume: Proceedings</span><span>, 2007</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45637837"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45637837"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45637837; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45623535"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45623535/Change_of_Type_of_Vorticity_Transport_in_the_Flow_of_Viscoelastic_Fluids_in_Non_Circular_Tubes_and_Heat_Transfer"><img alt="Research paper thumbnail of Change of Type of Vorticity Transport in the Flow of Viscoelastic Fluids in Non-Circular Tubes and Heat Transfer" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45623535/Change_of_Type_of_Vorticity_Transport_in_the_Flow_of_Viscoelastic_Fluids_in_Non_Circular_Tubes_and_Heat_Transfer">Change of Type of Vorticity Transport in the Flow of Viscoelastic Fluids in Non-Circular Tubes and Heat Transfer</a></div><div class="wp-workCard_item"><span>Conference: Colloquium in Honor of Professor Jean Bataille, Ecole Centrale de Lyon, France, June 19-20, 2007; Volume: Proceedings of the Colloquium in Honor of Professor Jean Bataille, Ecole Centrale de Lyon, France, June 19-20, 2007.</span><span>, 2007</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45623535"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45623535"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45623535; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); 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It is found that the squarer the waveform the larger the enhancement. In each case the enhancement is strongly dependent on the viscosity function, but the elastic properties also play an important role. We determine that considerable energy savings may be obtained in the transport of viscoelastic liquids if an oscillatory gradient is superposed on a mean gradient. The closer the oscillation to the square wave the larger the energy savings.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45598726"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45598726"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45598726; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45598726]").text(description); $(".js-view-count[data-work-id=45598726]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45598726; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45598726']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45598726, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45598726]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45598726,"title":"Periodically Driven Viscoelastic Flows and Energy Savings","translated_title":"","metadata":{"abstract":"This Conference paper reports the preliminary results related to the following paper:\nEnergy Considerations in the Flow Enhancement of Viscoelastic Liquids, Journal of Applied Mechanics 60(2):344-352 , 1993.\nDOI: 10.1115/1.2900799\nThe reader is referred to the Journal paper quoted above for full details of the research.\n\n\nABSTRACT: Flow enhancement effects due to different waveforms in the tube flow of rheologically complex fluids driven by a pulsating pressure gradient are investigated. 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In each case the enhancement is strongly dependent on the viscosity function, but the elastic properties also play an important role. We determine that considerable energy savings may be obtained in the transport of viscoelastic liquids if an oscillatory gradient is superposed on a mean gradient. 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Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"},{"id":7598,"name":"Rheology","url":"https://www.academia.edu/Documents/in/Rheology"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45588893"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45588893/Two_Different_Heat_Transfer_Asymptotes_and_Interplay_of_Elasticity_and_Inertia_in_Heat_Transfer_Enhancement_in_Laminar_Flow_in_Straight_Non_Circular_Tubes"><img alt="Research paper thumbnail of Two Different Heat Transfer Asymptotes and Interplay of Elasticity and Inertia in Heat Transfer Enhancement in Laminar Flow in Straight Non-Circular Tubes" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45588893/Two_Different_Heat_Transfer_Asymptotes_and_Interplay_of_Elasticity_and_Inertia_in_Heat_Transfer_Enhancement_in_Laminar_Flow_in_Straight_Non_Circular_Tubes">Two Different Heat Transfer Asymptotes and Interplay of Elasticity and Inertia in Heat Transfer Enhancement in Laminar Flow in Straight Non-Circular Tubes</a></div><div class="wp-workCard_item"><span>Conference: 2009 AIChE Annual Meeting, Nashville, TN, November 8-13</span><span>, 2009</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The fully developed thermal field in constant pressure gradient driven laminar flow of a class of...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The fully developed thermal field in constant pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids with instantaneous elasticity in straight pipes of arbitrary contour with constant wall flux is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large. Asymptotic series in terms of the Weissenberg number Wi are employed to expand the field variables. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is to a very large extent the result of secondary flows in the cross-section but there is a component due to first normal stress differences as well. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Order of magnitude larger enhancements are possible even with slightly viscoelastic fluids. The coupling between inertial and viscoelastic nonlinearities is crucial to enhancement. The asymptotic independence of Nu from elasticity with increasing Wi is shown analytically for the first time, that is functional dependance Nu = f(Pe,Wi) becomes Nu= f(Pe)with increasing Wi. Isotherms for the temperature field are discussed for non-circular contours such as the ellipse and the equilateral triangle together with the behavior of the average Nusselt number Nu, a function of the Reynolds Re, the Prandtl Pr and the Weissenberg Wi numbers. The change of type of the vorticity equation governs the trends in the behavior of Nu with increasing Wi and Re. The implications on the heat transfer enhancement is discussed in particular for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region controlled by the interaction of the viscoelastic Mach number M and the Elasticity number E, which mitigates and ultimately cancels the effect of the increasingly strong secondary flows with increasing Wi to level off the enhancement. The physics of the interaction of the effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed. The existence of a heat transfer asymptote in laminar flow of viscoelastic fluids is shown for the first time. In addition similar to the heat transfer asymptote in turbulent pipe flows the counterpart in laminar flows in non-circular tubes delineates the region where enhancement is a function only of inertia. A different asymptote corresponds to different cross-sectional shapes in straight tubes.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45588893"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45588893"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45588893; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45588893]").text(description); $(".js-view-count[data-work-id=45588893]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45588893; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45588893']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45588893, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45588893]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45588893,"title":"Two Different Heat Transfer Asymptotes and Interplay of Elasticity and Inertia in Heat Transfer Enhancement in Laminar Flow in Straight Non-Circular Tubes","translated_title":"","metadata":{"abstract":"The fully developed thermal field in constant pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids with instantaneous elasticity in straight pipes of arbitrary contour with constant wall flux is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large. Asymptotic series in terms of the Weissenberg number Wi are employed to expand the field variables. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is to a very large extent the result of secondary flows in the cross-section but there is a component due to first normal stress differences as well. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Order of magnitude larger enhancements are possible even with slightly viscoelastic fluids. The coupling between inertial and viscoelastic nonlinearities is crucial to enhancement. The asymptotic independence of Nu from elasticity with increasing Wi is shown analytically for the first time, that is functional dependance Nu = f(Pe,Wi) becomes Nu= f(Pe)with increasing Wi. Isotherms for the temperature field are discussed for non-circular contours such as the ellipse and the equilateral triangle together with the behavior of the average Nusselt number Nu, a function of the Reynolds Re, the Prandtl Pr and the Weissenberg Wi numbers. The change of type of the vorticity equation governs the trends in the behavior of Nu with increasing Wi and Re. The implications on the heat transfer enhancement is discussed in particular for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region controlled by the interaction of the viscoelastic Mach number M and the Elasticity number E, which mitigates and ultimately cancels the effect of the increasingly strong secondary flows with increasing Wi to level off the enhancement. The physics of the interaction of the effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed. The existence of a heat transfer asymptote in laminar flow of viscoelastic fluids is shown for the first time. In addition similar to the heat transfer asymptote in turbulent pipe flows the counterpart in laminar flows in non-circular tubes delineates the region where enhancement is a function only of inertia. A different asymptote corresponds to different cross-sectional shapes in straight tubes.","publication_date":{"day":null,"month":null,"year":2009,"errors":{}},"publication_name":"Conference: 2009 AIChE Annual Meeting, Nashville, TN, November 8-13"},"translated_abstract":"The fully developed thermal field in constant pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids with instantaneous elasticity in straight pipes of arbitrary contour with constant wall flux is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large. Asymptotic series in terms of the Weissenberg number Wi are employed to expand the field variables. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is to a very large extent the result of secondary flows in the cross-section but there is a component due to first normal stress differences as well. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Order of magnitude larger enhancements are possible even with slightly viscoelastic fluids. The coupling between inertial and viscoelastic nonlinearities is crucial to enhancement. The asymptotic independence of Nu from elasticity with increasing Wi is shown analytically for the first time, that is functional dependance Nu = f(Pe,Wi) becomes Nu= f(Pe)with increasing Wi. Isotherms for the temperature field are discussed for non-circular contours such as the ellipse and the equilateral triangle together with the behavior of the average Nusselt number Nu, a function of the Reynolds Re, the Prandtl Pr and the Weissenberg Wi numbers. The change of type of the vorticity equation governs the trends in the behavior of Nu with increasing Wi and Re. The implications on the heat transfer enhancement is discussed in particular for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region controlled by the interaction of the viscoelastic Mach number M and the Elasticity number E, which mitigates and ultimately cancels the effect of the increasingly strong secondary flows with increasing Wi to level off the enhancement. The physics of the interaction of the effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed. The existence of a heat transfer asymptote in laminar flow of viscoelastic fluids is shown for the first time. In addition similar to the heat transfer asymptote in turbulent pipe flows the counterpart in laminar flows in non-circular tubes delineates the region where enhancement is a function only of inertia. A different asymptote corresponds to different cross-sectional shapes in straight tubes.","internal_url":"https://www.academia.edu/45588893/Two_Different_Heat_Transfer_Asymptotes_and_Interplay_of_Elasticity_and_Inertia_in_Heat_Transfer_Enhancement_in_Laminar_Flow_in_Straight_Non_Circular_Tubes","translated_internal_url":"","created_at":"2021-03-21T01:18:05.617-07:00","section":"Conference Presentations","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"conference_presentation","co_author_tags":[{"id":36364816,"work_id":45588893,"tagging_user_id":33969261,"tagged_user_id":46747754,"co_author_invite_id":null,"email":"m***r@usach.cl","display_order":0,"name":"Mario Letelier","title":"Two Different Heat Transfer Asymptotes and Interplay of Elasticity and Inertia in Heat Transfer Enhancement in Laminar Flow in Straight Non-Circular Tubes"}],"downloadable_attachments":[],"slug":"Two_Different_Heat_Transfer_Asymptotes_and_Interplay_of_Elasticity_and_Inertia_in_Heat_Transfer_Enhancement_in_Laminar_Flow_in_Straight_Non_Circular_Tubes","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"The fully developed thermal field in constant pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids with instantaneous elasticity in straight pipes of arbitrary contour with constant wall flux is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large. Asymptotic series in terms of the Weissenberg number Wi are employed to expand the field variables. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is to a very large extent the result of secondary flows in the cross-section but there is a component due to first normal stress differences as well. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Order of magnitude larger enhancements are possible even with slightly viscoelastic fluids. The coupling between inertial and viscoelastic nonlinearities is crucial to enhancement. The asymptotic independence of Nu from elasticity with increasing Wi is shown analytically for the first time, that is functional dependance Nu = f(Pe,Wi) becomes Nu= f(Pe)with increasing Wi. Isotherms for the temperature field are discussed for non-circular contours such as the ellipse and the equilateral triangle together with the behavior of the average Nusselt number Nu, a function of the Reynolds Re, the Prandtl Pr and the Weissenberg Wi numbers. The change of type of the vorticity equation governs the trends in the behavior of Nu with increasing Wi and Re. The implications on the heat transfer enhancement is discussed in particular for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region controlled by the interaction of the viscoelastic Mach number M and the Elasticity number E, which mitigates and ultimately cancels the effect of the increasingly strong secondary flows with increasing Wi to level off the enhancement. The physics of the interaction of the effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed. The existence of a heat transfer asymptote in laminar flow of viscoelastic fluids is shown for the first time. In addition similar to the heat transfer asymptote in turbulent pipe flows the counterpart in laminar flows in non-circular tubes delineates the region where enhancement is a function only of inertia. A different asymptote corresponds to different cross-sectional shapes in straight tubes.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering"},{"id":2383,"name":"Viscoelasticity","url":"https://www.academia.edu/Documents/in/Viscoelasticity"},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics"},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer"},{"id":10959,"name":"Continuum Mechanics","url":"https://www.academia.edu/Documents/in/Continuum_Mechanics"},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics"},{"id":33661,"name":"Heat and Mass Transfer","url":"https://www.academia.edu/Documents/in/Heat_and_Mass_Transfer"},{"id":146586,"name":"Non-newtonian Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Non-newtonian_Fluid_Mechanics"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="35905346"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/35905346/Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and_Non_Colloidal_Suspensions_in_Tubes"><img alt="Research paper thumbnail of Normal Stress Driven Motions of Newtonian Fluids and Non-Colloidal Suspensions in Tubes" class="work-thumbnail" src="https://attachments.academia-assets.com/55785060/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/35905346/Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and_Non_Colloidal_Suspensions_in_Tubes">Normal Stress Driven Motions of Newtonian Fluids and Non-Colloidal Suspensions in Tubes</a></div><div class="wp-workCard_item"><span>Conference: 8th International Conference on Thermal Engineering Theory and Applications; Plenary Talk; Website: http://www.ictea.ca/2015/keynote.html at: Amman, Jordan; May 18- 21, 2015 </span><span>, 2015</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses reviewed elsewhere "Siginer, D. A., Isothermal Tube Flow of Non-Linear Viscoelastic Fluids, Part II: Transversal Field, Int. J. Engineering Science, 49 (6), 443-465, 2011" have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross-section and in the laminar motion of particle laden linear fluids. The latter secondary flows are driven by normal stresses due to shear induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses are opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross-sections which entails unbalanced normal Reynolds stresses in the cross-section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross-sections if the symmetry is somehow broken due for example to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field in turbulent motion of particle laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. A case in point is the interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor. Tube flow of concentrated suspensions, those with a volume fraction φ of more than 20%, in the laminar regime in non-circular cross-sections and in turbulent regime in circular cross-sections is a fascinating subject, and shows similarities with the flow of viscoelastic fluids in non-circular tubes in normal stress driven component of the motion. The mechanics of dilute (volume fraction φ < 10%) and semidilute (volume fraction 10% < φ < 20%) suspensions are reasonably well understood. However, constitutive equations relating stress to rate of strain for concentrated suspensions φ > 10% are not generally known, and hence their rheology is still a subject of much investigation despite an emphasis on this issue over the past decades. Microstructure, which refers to the relative position and orientation of physical entities in the material, is the key to understanding the fluid mechanics and rheology of concentrated suspensions. Microstructure is vital to the development of constitutive equations for concentrated suspensions and to the understanding of the viscosity behavior as well as normal-stress differences. Recent research demonstrating that secondary flows in particle laden laminar flow of linear fluids (φ > 10%) prompted and sustained by shear driven migration of particles are caused by unbalanced normal stresses, and in particular by particle contributed normal stresses, very much like in the case of polymeric fluids as well as secondary flows of the second kind in turbulent flow of linear fluids in circular cross-sectional straight tubes triggered by a non-uniform distribution of suspended particles or small enough suspended droplets or by non-uniform boundary conditions such as non-uniformly distributed boundary roughness, which all initiate anisotropy in the Reynolds stress tensor, are discussed in detail. The progress in predicting the flow of non-colloidal suspensions in straight tubes has been significant although major developments occurred only over the last three decades or so; however available theories at this time fall quite short of drawing a complete and reliable picture. The first particle based numerical simulations have been performed only two decades ago and the merits of the competing shear-induced migration based and continuum based theories to predict concentration distribution in monodispersed non-colloidal suspensions are still under discussion. Polydispersity is a problem that has not been taken an in-depth look as yet. The fact that reliable normal stress measurements in monodispersed suspensions have been performed only in the last few years by taking and adapting the methods and ideas developed decades ago by researchers in viscoelastic flows such as using free surface deformations caused by normal stresses of which the classical rod-climbing (rod-dipping in suspensions) and inclined trough flows are prominent examples really sets the stage for further substantial advances. But it also shows that the tools available to us at this time have not matured to the extent of the predictive powers of the theories for the flow of viscoelastic fluids are. Another example to give support to this statement is the first calculation of the secondary flows of non-colloidal suspensions in tubes of non-circular cross-section driven by normal stresses performed only in 2008. It is self-evident that secondary flows of particle laden fluids in turbulent regime, be it single phase or multiphase, cannot be understood and tackled directly without an in-depth understanding of the turbulent secondary flows of linear fluids in tubes. Progress in this area has been substantial and a comprehensive summary concerning the computation of secondary flows of linear fluids in turbulent tube motions is given in this talk. This talk is based on the book "Siginer, D.A., Developments in Tube Flow of Complex Fluids, ISBN: 978-3-319-02425-7 (hardcover), 978-3- 319-02426-4 (eBook), Springer, 2015" where a much expanded in-depth version of the topics addressed can be found.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="9ae944c1fa85e8ec9e96e203c8da6e24" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":55785060,"asset_id":35905346,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/55785060/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="35905346"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="35905346"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 35905346; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=35905346]").text(description); $(".js-view-count[data-work-id=35905346]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 35905346; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='35905346']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 35905346, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "9ae944c1fa85e8ec9e96e203c8da6e24" } } $('.js-work-strip[data-work-id=35905346]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":35905346,"title":"Normal Stress Driven Motions of Newtonian Fluids and Non-Colloidal Suspensions in Tubes","translated_title":"","metadata":{"doi":"10.13140/RG.2.1.3562.2568","abstract":"Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses reviewed elsewhere \"Siginer, D. A., Isothermal Tube Flow of Non-Linear Viscoelastic Fluids, Part II: Transversal Field, Int. J. Engineering Science, 49 (6), 443-465, 2011\" have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross-section and in the laminar motion of particle laden linear fluids. The latter secondary flows are driven by normal stresses due to shear induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses are opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross-sections which entails unbalanced normal Reynolds stresses in the cross-section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross-sections if the symmetry is somehow broken due for example to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field in turbulent motion of particle laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. A case in point is the interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor. Tube flow of concentrated suspensions, those with a volume fraction φ of more than 20%, in the laminar regime in non-circular cross-sections and in turbulent regime in circular cross-sections is a fascinating subject, and shows similarities with the flow of viscoelastic fluids in non-circular tubes in normal stress driven component of the motion. The mechanics of dilute (volume fraction φ \u003c 10%) and semidilute (volume fraction 10% \u003c φ \u003c 20%) suspensions are reasonably well understood. However, constitutive equations relating stress to rate of strain for concentrated suspensions φ \u003e 10% are not generally known, and hence their rheology is still a subject of much investigation despite an emphasis on this issue over the past decades. Microstructure, which refers to the relative position and orientation of physical entities in the material, is the key to understanding the fluid mechanics and rheology of concentrated suspensions. Microstructure is vital to the development of constitutive equations for concentrated suspensions and to the understanding of the viscosity behavior as well as normal-stress differences. Recent research demonstrating that secondary flows in particle laden laminar flow of linear fluids (φ \u003e 10%) prompted and sustained by shear driven migration of particles are caused by unbalanced normal stresses, and in particular by particle contributed normal stresses, very much like in the case of polymeric fluids as well as secondary flows of the second kind in turbulent flow of linear fluids in circular cross-sectional straight tubes triggered by a non-uniform distribution of suspended particles or small enough suspended droplets or by non-uniform boundary conditions such as non-uniformly distributed boundary roughness, which all initiate anisotropy in the Reynolds stress tensor, are discussed in detail. The progress in predicting the flow of non-colloidal suspensions in straight tubes has been significant although major developments occurred only over the last three decades or so; however available theories at this time fall quite short of drawing a complete and reliable picture. The first particle based numerical simulations have been performed only two decades ago and the merits of the competing shear-induced migration based and continuum based theories to predict concentration distribution in monodispersed non-colloidal suspensions are still under discussion. Polydispersity is a problem that has not been taken an in-depth look as yet. The fact that reliable normal stress measurements in monodispersed suspensions have been performed only in the last few years by taking and adapting the methods and ideas developed decades ago by researchers in viscoelastic flows such as using free surface deformations caused by normal stresses of which the classical rod-climbing (rod-dipping in suspensions) and inclined trough flows are prominent examples really sets the stage for further substantial advances. But it also shows that the tools available to us at this time have not matured to the extent of the predictive powers of the theories for the flow of viscoelastic fluids are. Another example to give support to this statement is the first calculation of the secondary flows of non-colloidal suspensions in tubes of non-circular cross-section driven by normal stresses performed only in 2008. It is self-evident that secondary flows of particle laden fluids in turbulent regime, be it single phase or multiphase, cannot be understood and tackled directly without an in-depth understanding of the turbulent secondary flows of linear fluids in tubes. Progress in this area has been substantial and a comprehensive summary concerning the computation of secondary flows of linear fluids in turbulent tube motions is given in this talk. This talk is based on the book \"Siginer, D.A., Developments in Tube Flow of Complex Fluids, ISBN: 978-3-319-02425-7 (hardcover), 978-3- 319-02426-4 (eBook), Springer, 2015\" where a much expanded in-depth version of the topics addressed can be found.","ai_title_tag":"Normal Stress Effects on Fluid Dynamics in Tubes","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Conference: 8th International Conference on Thermal Engineering Theory and Applications; Plenary Talk; Website: http://www.ictea.ca/2015/keynote.html at: Amman, Jordan; May 18- 21, 2015 "},"translated_abstract":"Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses reviewed elsewhere \"Siginer, D. A., Isothermal Tube Flow of Non-Linear Viscoelastic Fluids, Part II: Transversal Field, Int. J. Engineering Science, 49 (6), 443-465, 2011\" have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross-section and in the laminar motion of particle laden linear fluids. The latter secondary flows are driven by normal stresses due to shear induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses are opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross-sections which entails unbalanced normal Reynolds stresses in the cross-section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross-sections if the symmetry is somehow broken due for example to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field in turbulent motion of particle laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. A case in point is the interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor. Tube flow of concentrated suspensions, those with a volume fraction φ of more than 20%, in the laminar regime in non-circular cross-sections and in turbulent regime in circular cross-sections is a fascinating subject, and shows similarities with the flow of viscoelastic fluids in non-circular tubes in normal stress driven component of the motion. The mechanics of dilute (volume fraction φ \u003c 10%) and semidilute (volume fraction 10% \u003c φ \u003c 20%) suspensions are reasonably well understood. However, constitutive equations relating stress to rate of strain for concentrated suspensions φ \u003e 10% are not generally known, and hence their rheology is still a subject of much investigation despite an emphasis on this issue over the past decades. Microstructure, which refers to the relative position and orientation of physical entities in the material, is the key to understanding the fluid mechanics and rheology of concentrated suspensions. Microstructure is vital to the development of constitutive equations for concentrated suspensions and to the understanding of the viscosity behavior as well as normal-stress differences. Recent research demonstrating that secondary flows in particle laden laminar flow of linear fluids (φ \u003e 10%) prompted and sustained by shear driven migration of particles are caused by unbalanced normal stresses, and in particular by particle contributed normal stresses, very much like in the case of polymeric fluids as well as secondary flows of the second kind in turbulent flow of linear fluids in circular cross-sectional straight tubes triggered by a non-uniform distribution of suspended particles or small enough suspended droplets or by non-uniform boundary conditions such as non-uniformly distributed boundary roughness, which all initiate anisotropy in the Reynolds stress tensor, are discussed in detail. The progress in predicting the flow of non-colloidal suspensions in straight tubes has been significant although major developments occurred only over the last three decades or so; however available theories at this time fall quite short of drawing a complete and reliable picture. The first particle based numerical simulations have been performed only two decades ago and the merits of the competing shear-induced migration based and continuum based theories to predict concentration distribution in monodispersed non-colloidal suspensions are still under discussion. Polydispersity is a problem that has not been taken an in-depth look as yet. The fact that reliable normal stress measurements in monodispersed suspensions have been performed only in the last few years by taking and adapting the methods and ideas developed decades ago by researchers in viscoelastic flows such as using free surface deformations caused by normal stresses of which the classical rod-climbing (rod-dipping in suspensions) and inclined trough flows are prominent examples really sets the stage for further substantial advances. But it also shows that the tools available to us at this time have not matured to the extent of the predictive powers of the theories for the flow of viscoelastic fluids are. Another example to give support to this statement is the first calculation of the secondary flows of non-colloidal suspensions in tubes of non-circular cross-section driven by normal stresses performed only in 2008. It is self-evident that secondary flows of particle laden fluids in turbulent regime, be it single phase or multiphase, cannot be understood and tackled directly without an in-depth understanding of the turbulent secondary flows of linear fluids in tubes. Progress in this area has been substantial and a comprehensive summary concerning the computation of secondary flows of linear fluids in turbulent tube motions is given in this talk. This talk is based on the book \"Siginer, D.A., Developments in Tube Flow of Complex Fluids, ISBN: 978-3-319-02425-7 (hardcover), 978-3- 319-02426-4 (eBook), Springer, 2015\" where a much expanded in-depth version of the topics addressed can be found.","internal_url":"https://www.academia.edu/35905346/Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and_Non_Colloidal_Suspensions_in_Tubes","translated_internal_url":"","created_at":"2018-02-12T10:52:42.169-08:00","section":"Conference Presentations","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"conference_presentation","co_author_tags":[],"downloadable_attachments":[{"id":55785060,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/55785060/thumbnails/1.jpg","file_name":"Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and....pdf","download_url":"https://www.academia.edu/attachments/55785060/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Normal_Stress_Driven_Motions_of_Newtonia.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/55785060/Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and...-libre.pdf?1518461954=\u0026response-content-disposition=attachment%3B+filename%3DNormal_Stress_Driven_Motions_of_Newtonia.pdf\u0026Expires=1736105851\u0026Signature=Nj9Ehq8ne0q6cuznhAsNX21MPpGjvZA84FN0YqKuGuclBorIn9tlEBCduB9FIPmoS6HutS9MxsjffuIkYlODxw1cHU4kkr7lYL-Ey9SQ1aOkQ~HjR2mogqpOaa1yy5XMmAXvx90dxQEbIrKuavgI96a9TJB4d41qcb8SPqCE4QBlkqaf-BOWFK6Ey50-ZmEym2WgMukMof9AxFaN0qz~TI1NT1bOar-wIkJITdfqwmZ6X9wdnmp-BDbEKqJKn24gASsUrBybHwbe6eaYo4u2l6je4uc4cYgKI~M4CgELpF0NBmcUNCWImwIxxW3E1E7Oitw1Eo7UIv5mCky6FYgfvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and_Non_Colloidal_Suspensions_in_Tubes","translated_slug":"","page_count":2,"language":"en","content_type":"Work","summary":"Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses reviewed elsewhere \"Siginer, D. A., Isothermal Tube Flow of Non-Linear Viscoelastic Fluids, Part II: Transversal Field, Int. J. Engineering Science, 49 (6), 443-465, 2011\" have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross-section and in the laminar motion of particle laden linear fluids. The latter secondary flows are driven by normal stresses due to shear induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses are opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross-sections which entails unbalanced normal Reynolds stresses in the cross-section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross-sections if the symmetry is somehow broken due for example to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field in turbulent motion of particle laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. A case in point is the interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor. Tube flow of concentrated suspensions, those with a volume fraction φ of more than 20%, in the laminar regime in non-circular cross-sections and in turbulent regime in circular cross-sections is a fascinating subject, and shows similarities with the flow of viscoelastic fluids in non-circular tubes in normal stress driven component of the motion. The mechanics of dilute (volume fraction φ \u003c 10%) and semidilute (volume fraction 10% \u003c φ \u003c 20%) suspensions are reasonably well understood. However, constitutive equations relating stress to rate of strain for concentrated suspensions φ \u003e 10% are not generally known, and hence their rheology is still a subject of much investigation despite an emphasis on this issue over the past decades. Microstructure, which refers to the relative position and orientation of physical entities in the material, is the key to understanding the fluid mechanics and rheology of concentrated suspensions. Microstructure is vital to the development of constitutive equations for concentrated suspensions and to the understanding of the viscosity behavior as well as normal-stress differences. Recent research demonstrating that secondary flows in particle laden laminar flow of linear fluids (φ \u003e 10%) prompted and sustained by shear driven migration of particles are caused by unbalanced normal stresses, and in particular by particle contributed normal stresses, very much like in the case of polymeric fluids as well as secondary flows of the second kind in turbulent flow of linear fluids in circular cross-sectional straight tubes triggered by a non-uniform distribution of suspended particles or small enough suspended droplets or by non-uniform boundary conditions such as non-uniformly distributed boundary roughness, which all initiate anisotropy in the Reynolds stress tensor, are discussed in detail. The progress in predicting the flow of non-colloidal suspensions in straight tubes has been significant although major developments occurred only over the last three decades or so; however available theories at this time fall quite short of drawing a complete and reliable picture. The first particle based numerical simulations have been performed only two decades ago and the merits of the competing shear-induced migration based and continuum based theories to predict concentration distribution in monodispersed non-colloidal suspensions are still under discussion. Polydispersity is a problem that has not been taken an in-depth look as yet. The fact that reliable normal stress measurements in monodispersed suspensions have been performed only in the last few years by taking and adapting the methods and ideas developed decades ago by researchers in viscoelastic flows such as using free surface deformations caused by normal stresses of which the classical rod-climbing (rod-dipping in suspensions) and inclined trough flows are prominent examples really sets the stage for further substantial advances. But it also shows that the tools available to us at this time have not matured to the extent of the predictive powers of the theories for the flow of viscoelastic fluids are. Another example to give support to this statement is the first calculation of the secondary flows of non-colloidal suspensions in tubes of non-circular cross-section driven by normal stresses performed only in 2008. It is self-evident that secondary flows of particle laden fluids in turbulent regime, be it single phase or multiphase, cannot be understood and tackled directly without an in-depth understanding of the turbulent secondary flows of linear fluids in tubes. Progress in this area has been substantial and a comprehensive summary concerning the computation of secondary flows of linear fluids in turbulent tube motions is given in this talk. This talk is based on the book \"Siginer, D.A., Developments in Tube Flow of Complex Fluids, ISBN: 978-3-319-02425-7 (hardcover), 978-3- 319-02426-4 (eBook), Springer, 2015\" where a much expanded in-depth version of the topics addressed can be found.","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[{"id":55785060,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/55785060/thumbnails/1.jpg","file_name":"Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and....pdf","download_url":"https://www.academia.edu/attachments/55785060/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Normal_Stress_Driven_Motions_of_Newtonia.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/55785060/Normal_Stress_Driven_Motions_of_Newtonian_Fluids_and...-libre.pdf?1518461954=\u0026response-content-disposition=attachment%3B+filename%3DNormal_Stress_Driven_Motions_of_Newtonia.pdf\u0026Expires=1736105851\u0026Signature=Nj9Ehq8ne0q6cuznhAsNX21MPpGjvZA84FN0YqKuGuclBorIn9tlEBCduB9FIPmoS6HutS9MxsjffuIkYlODxw1cHU4kkr7lYL-Ey9SQ1aOkQ~HjR2mogqpOaa1yy5XMmAXvx90dxQEbIrKuavgI96a9TJB4d41qcb8SPqCE4QBlkqaf-BOWFK6Ey50-ZmEym2WgMukMof9AxFaN0qz~TI1NT1bOar-wIkJITdfqwmZ6X9wdnmp-BDbEKqJKn24gASsUrBybHwbe6eaYo4u2l6je4uc4cYgKI~M4CgELpF0NBmcUNCWImwIxxW3E1E7Oitw1Eo7UIv5mCky6FYgfvQ__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":146586,"name":"Non-newtonian Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Non-newtonian_Fluid_Mechanics"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="9269259" id="books"><div class="js-work-strip profile--work_container" data-work-id="46456141"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/46456141/Transversal_Flow_Field_of_Particle_Laden_Linear_Fluids"><img alt="Research paper thumbnail of Transversal Flow Field of Particle-Laden Linear Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/66226284/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/46456141/Transversal_Flow_Field_of_Particle_Laden_Linear_Fluids">Transversal Flow Field of Particle-Laden Linear Fluids</a></div><div class="wp-workCard_item"><span>In book: Developments in the Flow of Complex Fluids in Tubes, Chapter: 6, Publisher: Springer</span><span>, 2015</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT: Mean secondary flows in straight tubes of non-circular cross section turbulent driven o...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT: Mean secondary flows in straight tubes of non-circular cross section turbulent driven of Newtonian fluids by constant pressure gradients are discussed in their historical context as well as in terms of the most recent findings. The fundamental issues and their impact on industrial processes, in particular on processes involving particle laden flows are reviewed. Similarities with the driving mechanism of secondary laminar flows of viscoelastic fluids, criteria for the existence of secondary flows, and general classification and closure approximations for homogeneous and wall-bounded flows are discussed. The rheology of dilute, semi-dilute, and concentrated non-Brownian suspensions is reviewed. Computing shear viscosity in different concentration regimes and recent progress in determining the normal stress functions of semi-dilute and concentrated non-colloidal suspensions are summarized. Macroscopic constitutive models for suspension flow, shear-induced and stress-induced particle migration, applications to Stokesian dynamics simulations (SDS), and efforts to improve the predictions through SDS both in unbounded and bounded flows are discussed together with challenges in shear-driven migration of non-colloidal concentrated suspensions. The complex nature and sometimes contradictory behavior reported in the literature make it challenging to construct a theoretical model. Efforts to understand the motion of particles in viscoelastic suspending media are summarized and recent research on secondary field in Poiseuille flow of shear-driven migration of suspensions is discussed together with secondary field in single-phase and multiphase turbulent flow of suspensions in tubes.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="2d988841043094e4fe04dfaa09b76b27" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":66226284,"asset_id":46456141,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/66226284/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="46456141"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="46456141"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 46456141; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=46456141]").text(description); $(".js-view-count[data-work-id=46456141]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 46456141; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='46456141']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 46456141, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "2d988841043094e4fe04dfaa09b76b27" } } $('.js-work-strip[data-work-id=46456141]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":46456141,"title":"Transversal Flow Field of Particle-Laden Linear Fluids","translated_title":"","metadata":{"doi":"10.1007/978-3-319-02426-4_6","abstract":"ABSTRACT: Mean secondary flows in straight tubes of non-circular cross section turbulent driven of Newtonian fluids by constant pressure gradients are discussed in their historical context as well as in terms of the most recent findings. 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Flow enhancement and anomalous flows due to frequency cancellation of superposed boundary waves and resonance like behavior due to the coupling of the viscoelastic and viscous properties leading to drastic enhancement of the instantaneous flow<br />velocities, order of magnitude larger increases at certain frequencies of the driving quasi-periodic pressure gradient oscillating about a zero mean is reviewed. Mean secondary flows of non-linear viscoelastic fluids driven by pulsating pressure gradients in straight tubes of non-circular cross section are discussed.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="466f98d409fc6be05dd68fa802391276" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":66226193,"asset_id":46454234,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/66226193/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="46454234"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="46454234"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 46454234; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=46454234]").text(description); $(".js-view-count[data-work-id=46454234]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 46454234; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='46454234']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 46454234, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "466f98d409fc6be05dd68fa802391276" } } $('.js-work-strip[data-work-id=46454234]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":46454234,"title":"Quasi-Periodic Flows of Viscoelastic Fluids in Straight Tubes","translated_title":"","metadata":{"doi":"10.1007/978-3-319-02426-4_5","abstract":"ABSTRACT: The effect of pressure gradient oscillations and longitudinal and transversal boundary oscillations on the flow of non-linearly viscoelastic fluids in circular tubes driven by a constant mean pressure gradient is discussed. Flow enhancement and anomalous flows due to frequency cancellation of superposed boundary waves and resonance like behavior due to the coupling of the viscoelastic and viscous properties leading to drastic enhancement of the instantaneous flow\nvelocities, order of magnitude larger increases at certain frequencies of the driving quasi-periodic pressure gradient oscillating about a zero mean is reviewed. 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M. Maron</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The lubrication of a non-Newtonian liquid by a Newtonian fluid in the concentrically stratified l...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The lubrication of a non-Newtonian liquid by a Newtonian fluid in the concentrically stratified laminar flow of two immiscible fluids in a horizontal tube has been investigated experimentally by an optomechanical method. Data for the interfacial velocity and the total volume flow rate for two zero shear rate viscosity ratio are presented. The results of this investigation are useful in solving high wax content crude oil transportation problems and in the design of lubricated pipelines.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="2d31effe90bc7d7e3579cc8c1273a5fa" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":66160563,"asset_id":45659691,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/66160563/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45659691"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45659691"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45659691; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45659691]").text(description); $(".js-view-count[data-work-id=45659691]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45659691; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45659691']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45659691, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "2d31effe90bc7d7e3579cc8c1273a5fa" } } $('.js-work-strip[data-work-id=45659691]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45659691,"title":"A Note on the Laminar Core Annular Flow of Two Immiscible fluids in a Horizontal Tube","translated_title":"","metadata":{"doi":"10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhen.110","abstract":"The lubrication of a non-Newtonian liquid by a Newtonian fluid in the concentrically stratified laminar flow of two immiscible fluids in a horizontal tube has been investigated experimentally by an optomechanical method. 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It was discovered in 1947 by W. Winslow, who observed a change in the effective viscosity (fluidity) of dispersions. An electrorheological fluid consists of a carrier medium (any nonconducting oil) with excellent insulation capability and a filler (particles) with a different dielectric constant dispersed in this medium. Chlorinated paraffin, silicone oil, and mineral oils are the most common carrier fluids. The filler consists of suspended solid particles of 0.1- 100 μmin diameter. The dispersed phase may be either organic material such as microfine powders of soybean casein or starch cellulose or inorganic material such as micro powder mica, silica gel (barium titanate), various polymers such as phenolic resin, or metallic powders. These micro powders are used either untreated or after surface treatment-to improve their dispersability. 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Coleman, ISBN: 0-7918-1438-6</span><span>, 1994</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45627777"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45627777"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45627777; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45627777]").text(description); $(".js-view-count[data-work-id=45627777]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45627777; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45627777']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45627777, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45627777]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45627777,"title":"Developments in Electrorheological Flows and Measurement Uncertainty","translated_title":"","metadata":{"publication_date":{"day":null,"month":null,"year":1994,"errors":{}},"publication_name":"Edition: First,; Publisher: ASME Press, New York, NY USA, Editors: D. 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Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering"},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics"},{"id":10959,"name":"Continuum Mechanics","url":"https://www.academia.edu/Documents/in/Continuum_Mechanics"},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics"},{"id":120240,"name":"Mecanica de los Fluidos","url":"https://www.academia.edu/Documents/in/Mecanica_de_los_Fluidos"},{"id":146586,"name":"Non-newtonian Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Non-newtonian_Fluid_Mechanics"},{"id":277388,"name":"Ingenieria Mecanica","url":"https://www.academia.edu/Documents/in/Ingenieria_Mecanica"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="45620415"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/45620415/Secondary_Flows_in_Tubes_of_Arbitrary_Shape"><img alt="Research paper thumbnail of Secondary Flows in Tubes of Arbitrary Shape" class="work-thumbnail" src="https://attachments.academia-assets.com/66109700/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/45620415/Secondary_Flows_in_Tubes_of_Arbitrary_Shape">Secondary Flows in Tubes of Arbitrary Shape</a></div><div class="wp-workCard_item"><span>In book: Advances in the Flow & Rheology of Non-Newtonian Fluids - Rheology Series 8, Edition: First, Publisher: Elsevier Science BV, Amsterdam; Editors: Dennis A. Siginer and Daniel De Kee</span><span>, 1999</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Conduit flow is a common occurrence in many industrial and biological systems. It is also, in som...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Conduit flow is a common occurrence in many industrial and biological systems. It is also, in some cases, a convenient approximate model for studying fluid motion through porous media, filters, tissues, and other slow fluid motion in complex solid matrices. urrent technological advances in many fields require a good understanding of the dynamics of fluids other than Newtonian in conduit flow. This knowledge is necessary in order to estimate energy loss, transport properties, and many other variables of industrial interest. Viscoelastic fluids constitute an important class among non-Newtonian fluids, the study of which is rendered more difficult by several properties and phenomena exhibited by these fluids such as stress relaxation, strain recovery, die swell, normal stress differences, drag reduction, and flow enhancement. The flow of non-linear viscoelastic fluids in non-circular pipes may lead to the occurrence of secondary flows, a phenomenon not well covered in the technical literature. Secondary flows have a significant influence on important industrial phenomena, such as transport, and energy loss. A large number of competing viscoelastic constitutive models exist to predict flow phenomena. Integral models seem to predict experimental data better. In this chapter, the simple fluid of multiple integral-type models with fading memory is considered. Secondary flows are determined in the case of laminar longitudinal flows in approximately triangular and square conduits, when the flow is driven by small-amplitude oscillatory pressure gradients. The chapter is organized as follows. The mathematical background is developed and the summary of a novel analytical method devised by the first author and co-authors for determining the velocity field of laminar Newtonian unsteady flow in non-circular pipes is presented in Section 2. This is followed by an analysis in Section 3 of the pulsating flow in circular pipes of a viscoelastic fading memory fluid of the multiple integral type. Results of these sections are combined in the next section, where a mathematical expression for the axial velocity is developed for flow in non-circular pipes driven by a pressure gradient oscillating around a non-zero mean. The chapter closes with Section 5 where analytical steps that lead to the determination of the transversal velocity field are developed. Plots that depict the main features of axial and secondary flow fields are also presented.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="2edca554e0e5490f0fced8152fc330eb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":66109700,"asset_id":45620415,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/66109700/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45620415"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45620415"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45620415; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45620415]").text(description); $(".js-view-count[data-work-id=45620415]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45620415; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45620415']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45620415, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "2edca554e0e5490f0fced8152fc330eb" } } $('.js-work-strip[data-work-id=45620415]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45620415,"title":"Secondary Flows in Tubes of Arbitrary Shape","translated_title":"","metadata":{"doi":"10.1016/S0169-3107(99)80031-8","abstract":"Conduit flow is a common occurrence in many industrial and biological systems. 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A. Siginer, A. Narain, and K. M. Kelkar, ISBN: 0-7918-1405-X</span><span>, 1994</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This volume contains 12 papers from a symposium sponsored by the Applied Mechanics Division of th...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This volume contains 12 papers from a symposium sponsored by the Applied Mechanics Division of the ASME at the International Mechanical Engineering Congress and Exposition held at Chicago in November 1994. The topics covered include: thin-film flows; two fluid flows without phase change; two fluid flows with phase change (condensation); numerical techniques; and experimental techniques for complex bubbly jet flows. (from Editors)</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="45598835"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="45598835"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 45598835; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=45598835]").text(description); $(".js-view-count[data-work-id=45598835]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 45598835; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='45598835']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 45598835, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=45598835]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":45598835,"title":"Two Fluid Flows-With or Without Phase Change","translated_title":"","metadata":{"abstract":"This volume contains 12 papers from a symposium sponsored by the Applied Mechanics Division of the ASME at the International Mechanical Engineering Congress and Exposition held at Chicago in November 1994. 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(from Editors)","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . Siginer","url":"https://usach.academia.edu/DennisSiginer"},"attachments":[],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering"},{"id":7114,"name":"Multiphase Flow","url":"https://www.academia.edu/Documents/in/Multiphase_Flow"},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer"},{"id":33661,"name":"Heat and Mass Transfer","url":"https://www.academia.edu/Documents/in/Heat_and_Mass_Transfer"},{"id":57084,"name":"Multiphase flows","url":"https://www.academia.edu/Documents/in/Multiphase_flows"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44407208"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/44407208/Stability_of_NonLinear_Constitutive_Formulations_for_Viscoelastic_Fluids"><img alt="Research paper thumbnail of Stability of NonLinear Constitutive Formulations for Viscoelastic Fluids" class="work-thumbnail" src="https://attachments.academia-assets.com/64817329/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44407208/Stability_of_NonLinear_Constitutive_Formulations_for_Viscoelastic_Fluids">Stability of NonLinear Constitutive Formulations for Viscoelastic Fluids</a></div><div class="wp-workCard_item"><span>SpringerBriefs in Applied Sciences and Technology</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Controversy about the frame indifference principle, the concept of non-local continuum field theo...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Controversy about the frame indifference principle, the concept of non-local continuum field theories, local constitutive formulations, differential constitutive equations of linear viscoelasticity, Oldroyd, K-BKZ, FENE (Finitely Extensible Non-linear Elastic) class of constitutive equations, Smoluchowski and Fokker–Planck diffusion equations, constant stretch history flows, fading memory and nested integral representations of the stress, order fluids of the integral and differential type, constitutive formulations consistent with thermodynamics, maximization of the rate of dissipation in formulating thermodynamics compatible constitutive structures, Burgers equation which is finding a gradually widening niche in applications, minimum free energy and maximum recoverable work in the case of linearized viscoelastic constitutive structures, implicit constitutive theories, which define the stress field when the viscosity depends for instance on the constitutively undetermined pressure field, and which have found new focus in applications such as elastohydrodynamic lubrication are discussed and progress made is summarized. Canonical forms of Maxwell-like constitutive differential equations and single integral constitutive equations are presented and commented on together with the Hadamard and dissipative type of instabilities they may be subject to.  <br /><br />Keywords Non-local stress • Local stress • Linear viscoelasticity • Non-linear viscoelasticity • Smoluchowski diffusion equation • Fokker–Planck diffusion equation • Constant stretch history • Fading memory • Nested integral stress • Order fluids • Consistency with thermodynamics • Rate of dissipation • Burgers equation • Implicit constitutive structures • Canonical forms • Maxwell-like constitutive differential equations • Single integral constitutive equations • Hadamard instability • Dissipative instability</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="75a845403e633fbc696df8ab41c49534" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":64817329,"asset_id":44407208,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/64817329/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44407208"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44407208"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44407208; 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A., Stability of Non-linear Co...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This monograph together with its complimentary volume [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014] in this series is an attempt to give an overall comprehensive view of a complex field, only 60 or so years old, still far from being settled on firm grounds, that of the dynamics of viscoelastic fluid flow and suspension flow in tubes. The monograph on “Stability of Non-linear Constitutive Formulations for Viscoelastic Fluid Media” covers the development of constitutive equation formulations for viscoelastic fluids in their historical context together with the latest progress made, and this volume covers the state-of-the-art knowledge in predicting the flow of viscoelastic fluids and suspensions in tubes highlighting the historical as well as the most recent findings. Most if not all viscoelastic fluids in industrial manufacturing processes flow in laminar regime through tubes, which are not necessarily circular, at one time or another during the processing of the material. Laminar regime is by far the predominant flow mode for viscoelastic fluids encountered in manufacturing processes, and it is extensively covered in this monograph. Turbulent flow of dilute viscoelastic solutions is a topic which has not received much attention except when related to drag reduction. For particle-laden flows there are very interesting developments in both laminar and turbulent regime, and they are duly covered. It is critically important that the flow of non-linear viscoelastic fluids and suspensions in tubes can be predicted on a sound basis, thus the raison d’eˆtre of this volume. As flow behavior predictions are directly related to the constitutive formulations used, this volume relies heavily on the volume on [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014]. <br />The science of rheology defined as the study of the deformation and  flow of matter was virtually single-handedly founded and the name invented by Professor Bingham of Lafayette College in the late 1920s. Rheology is a wide encompassing science which covers the study of the deformation and flow of diverse materials such as polymers, suspensions, asphalt, lubricants, paints, plastics, rubber, and biofluids, all of which display non-Newtonian behavior when subjected to external stimuli and as a result deform and flow in a manner not predictable by Newtonian mechanics.<br />The development of rheology, which had gotten to a slow start, took a boost during WWII as materials used in various applications, in flame throwers, for instance, were found to be viscoelastic. As Truesdell and Noll famously wrote [Truesdell, C. and Noll, W., the Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992] “By 1949 all work on the foundations of Rheology done before 1945 had been rendered obsolete.” In the years following WWII, the emergence and rapid growth of the synthetic fiber and polymer processing industries, appearance of liquid detergents, multigrade oils, non-drip paints, and contact adhesives, and developments in pharmaceutical and food industries and biotechnology spurred the development of rheology. All these examples clearly illustrate the relevance of rheological studies to life and industry. The reliance of all these fields on rheological studies is at the very basis of many if not all of the amazing developments and success stories ending up with many of the products used by the public at large in everyday life.<br />Non-Newtonian fluid mechanics, which is an integral part of rheology, really made big strides only after WWII and has been developing at a rapid rate ever since. The development of reliable constitutive formulations to predict the behavior of flowing substances with non-linear stress–strain relationships is quite a difficult proposition by comparison with Newtonian fluid mechanics with linear stress–strain relationship. The latter does enjoy a head start of two centuries tracing back its inception to Newton and luminaries like Euler and Bernoulli. With the former the non-linear structure does not allow the merging of the constitutive equations for the stress components with the linear momentum equation as it is the case with Newtonian fluids ending up with the Navier–Stokes equations. Thus, the practitioner ends up with six additional scalar equations to be solved in three dimensions for the six independent components of the symmetric stress tensor. The difficulties in solving in tandem this set of non-linear field equations, which may involve both inertial and constitutive non-linearities, cannot be underestimated. Perhaps equally importantly at this point in time in the unfolding development of the science, we are not fortunate enough to have developed a single constitutive formulation for viscoelastic fluids, which may lend itself to most applications and yield reasonably accurate predictions together with the field balance equations. The field is littered with a plethora of equations, some of which may yield reasonable predictions in some flows and utterly unacceptable predictions in others. Thus, we end up with classes of equations for viscoelastic fluids that would apply to classes of flows and fluids, an ad hoc concept at best that hopefully will give way one day to a universal equation, which may apply to all fluids in all motions. In addition the stability of these equations is a very important issue. Any given constitutive equation should be stable in the Hadamard and dissipative sense and should not violate the basic principles of thermodynamics.<br />Dynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross section and in the laminar motion of particle-laden linear fluids. The latter secondary flows are driven by normal stresses due to shear-induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses is opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross sections which entails unbalanced normal Reynolds stresses in the cross section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross sections if the symmetry is somehow broken due, for example, to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field both in laminar and turbulent motion of particle-laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. Thus a complete review of both is presented including interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor.<br />The impact of the secondary flows on engineering calculations is particularly important as turbulent flows in ducts of non-circular cross section are often encountered in engineering practice. Some examples are flows in heat exchangers, ventilation and air-conditioning systems, nuclear reactors, impellers, blade passages, aircraft intakes, and turbomachinery. If neglected significant errors may be introduced<br />in the design as secondary flows lead to additional friction losses and can shift the location of the maximum momentum transport from the duct centerline. The secondary velocity depends on cross-sectional coordinates alone and therefore is independent of end effects. It is only of the order of 1–3 % of the streamwise bulk velocity, but by transporting high-momentum fluid toward the corners, it distorts substantially the cross-sectional equal axial velocity lines; specifically it causes a bulging of the velocity contours toward the corners with important consequences<br />such as considerable friction losses. The need for turbulence models that can reliably predict the secondary flows that may occur in engineering applications is of paramount importance.<br />Efforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them. The link between..... <br />Palapye, Botswana and Santiago, Chile <br />Dennis A. Siginer</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5176d1379ff82eddb6f1b7f4f713d7cf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":64652860,"asset_id":44275018,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/64652860/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="44275018"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="44275018"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44275018; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=44275018]").text(description); $(".js-view-count[data-work-id=44275018]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 44275018; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='44275018']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 44275018, container: "", }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-f77ea15d77ce96025a6048a514272ad8becbad23c641fc2b3bd6e24ca6ff1932.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "5176d1379ff82eddb6f1b7f4f713d7cf" } } $('.js-work-strip[data-work-id=44275018]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":44275018,"title":"Developments in the Flow of Complex Fluids in Tubes","translated_title":"","metadata":{"doi":"10.1007/978-3-319-02426-4","abstract":"This monograph together with its complimentary volume [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014] in this series is an attempt to give an overall comprehensive view of a complex field, only 60 or so years old, still far from being settled on firm grounds, that of the dynamics of viscoelastic fluid flow and suspension flow in tubes. The monograph on “Stability of Non-linear Constitutive Formulations for Viscoelastic Fluid Media” covers the development of constitutive equation formulations for viscoelastic fluids in their historical context together with the latest progress made, and this volume covers the state-of-the-art knowledge in predicting the flow of viscoelastic fluids and suspensions in tubes highlighting the historical as well as the most recent findings. Most if not all viscoelastic fluids in industrial manufacturing processes flow in laminar regime through tubes, which are not necessarily circular, at one time or another during the processing of the material. Laminar regime is by far the predominant flow mode for viscoelastic fluids encountered in manufacturing processes, and it is extensively covered in this monograph. Turbulent flow of dilute viscoelastic solutions is a topic which has not received much attention except when related to drag reduction. For particle-laden flows there are very interesting developments in both laminar and turbulent regime, and they are duly covered. It is critically important that the flow of non-linear viscoelastic fluids and suspensions in tubes can be predicted on a sound basis, thus the raison d’eˆtre of this volume. As flow behavior predictions are directly related to the constitutive formulations used, this volume relies heavily on the volume on [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014]. \nThe science of rheology defined as the study of the deformation and flow of matter was virtually single-handedly founded and the name invented by Professor Bingham of Lafayette College in the late 1920s. Rheology is a wide encompassing science which covers the study of the deformation and flow of diverse materials such as polymers, suspensions, asphalt, lubricants, paints, plastics, rubber, and biofluids, all of which display non-Newtonian behavior when subjected to external stimuli and as a result deform and flow in a manner not predictable by Newtonian mechanics.\nThe development of rheology, which had gotten to a slow start, took a boost during WWII as materials used in various applications, in flame throwers, for instance, were found to be viscoelastic. As Truesdell and Noll famously wrote [Truesdell, C. and Noll, W., the Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992] “By 1949 all work on the foundations of Rheology done before 1945 had been rendered obsolete.” In the years following WWII, the emergence and rapid growth of the synthetic fiber and polymer processing industries, appearance of liquid detergents, multigrade oils, non-drip paints, and contact adhesives, and developments in pharmaceutical and food industries and biotechnology spurred the development of rheology. All these examples clearly illustrate the relevance of rheological studies to life and industry. The reliance of all these fields on rheological studies is at the very basis of many if not all of the amazing developments and success stories ending up with many of the products used by the public at large in everyday life.\nNon-Newtonian fluid mechanics, which is an integral part of rheology, really made big strides only after WWII and has been developing at a rapid rate ever since. The development of reliable constitutive formulations to predict the behavior of flowing substances with non-linear stress–strain relationships is quite a difficult proposition by comparison with Newtonian fluid mechanics with linear stress–strain relationship. The latter does enjoy a head start of two centuries tracing back its inception to Newton and luminaries like Euler and Bernoulli. With the former the non-linear structure does not allow the merging of the constitutive equations for the stress components with the linear momentum equation as it is the case with Newtonian fluids ending up with the Navier–Stokes equations. Thus, the practitioner ends up with six additional scalar equations to be solved in three dimensions for the six independent components of the symmetric stress tensor. The difficulties in solving in tandem this set of non-linear field equations, which may involve both inertial and constitutive non-linearities, cannot be underestimated. Perhaps equally importantly at this point in time in the unfolding development of the science, we are not fortunate enough to have developed a single constitutive formulation for viscoelastic fluids, which may lend itself to most applications and yield reasonably accurate predictions together with the field balance equations. The field is littered with a plethora of equations, some of which may yield reasonable predictions in some flows and utterly unacceptable predictions in others. Thus, we end up with classes of equations for viscoelastic fluids that would apply to classes of flows and fluids, an ad hoc concept at best that hopefully will give way one day to a universal equation, which may apply to all fluids in all motions. In addition the stability of these equations is a very important issue. Any given constitutive equation should be stable in the Hadamard and dissipative sense and should not violate the basic principles of thermodynamics.\nDynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross section and in the laminar motion of particle-laden linear fluids. The latter secondary flows are driven by normal stresses due to shear-induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses is opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross sections which entails unbalanced normal Reynolds stresses in the cross section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross sections if the symmetry is somehow broken due, for example, to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field both in laminar and turbulent motion of particle-laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. Thus a complete review of both is presented including interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor.\nThe impact of the secondary flows on engineering calculations is particularly important as turbulent flows in ducts of non-circular cross section are often encountered in engineering practice. Some examples are flows in heat exchangers, ventilation and air-conditioning systems, nuclear reactors, impellers, blade passages, aircraft intakes, and turbomachinery. If neglected significant errors may be introduced\nin the design as secondary flows lead to additional friction losses and can shift the location of the maximum momentum transport from the duct centerline. The secondary velocity depends on cross-sectional coordinates alone and therefore is independent of end effects. It is only of the order of 1–3 % of the streamwise bulk velocity, but by transporting high-momentum fluid toward the corners, it distorts substantially the cross-sectional equal axial velocity lines; specifically it causes a bulging of the velocity contours toward the corners with important consequences\nsuch as considerable friction losses. The need for turbulence models that can reliably predict the secondary flows that may occur in engineering applications is of paramount importance.\nEfforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them. The link between..... \nPalapye, Botswana and Santiago, Chile \nDennis A. Siginer\n","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Developments in the Flow of Complex Fluids in Tubes"},"translated_abstract":"This monograph together with its complimentary volume [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014] in this series is an attempt to give an overall comprehensive view of a complex field, only 60 or so years old, still far from being settled on firm grounds, that of the dynamics of viscoelastic fluid flow and suspension flow in tubes. The monograph on “Stability of Non-linear Constitutive Formulations for Viscoelastic Fluid Media” covers the development of constitutive equation formulations for viscoelastic fluids in their historical context together with the latest progress made, and this volume covers the state-of-the-art knowledge in predicting the flow of viscoelastic fluids and suspensions in tubes highlighting the historical as well as the most recent findings. Most if not all viscoelastic fluids in industrial manufacturing processes flow in laminar regime through tubes, which are not necessarily circular, at one time or another during the processing of the material. Laminar regime is by far the predominant flow mode for viscoelastic fluids encountered in manufacturing processes, and it is extensively covered in this monograph. Turbulent flow of dilute viscoelastic solutions is a topic which has not received much attention except when related to drag reduction. For particle-laden flows there are very interesting developments in both laminar and turbulent regime, and they are duly covered. It is critically important that the flow of non-linear viscoelastic fluids and suspensions in tubes can be predicted on a sound basis, thus the raison d’eˆtre of this volume. As flow behavior predictions are directly related to the constitutive formulations used, this volume relies heavily on the volume on [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014]. \nThe science of rheology defined as the study of the deformation and flow of matter was virtually single-handedly founded and the name invented by Professor Bingham of Lafayette College in the late 1920s. Rheology is a wide encompassing science which covers the study of the deformation and flow of diverse materials such as polymers, suspensions, asphalt, lubricants, paints, plastics, rubber, and biofluids, all of which display non-Newtonian behavior when subjected to external stimuli and as a result deform and flow in a manner not predictable by Newtonian mechanics.\nThe development of rheology, which had gotten to a slow start, took a boost during WWII as materials used in various applications, in flame throwers, for instance, were found to be viscoelastic. As Truesdell and Noll famously wrote [Truesdell, C. and Noll, W., the Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992] “By 1949 all work on the foundations of Rheology done before 1945 had been rendered obsolete.” In the years following WWII, the emergence and rapid growth of the synthetic fiber and polymer processing industries, appearance of liquid detergents, multigrade oils, non-drip paints, and contact adhesives, and developments in pharmaceutical and food industries and biotechnology spurred the development of rheology. All these examples clearly illustrate the relevance of rheological studies to life and industry. The reliance of all these fields on rheological studies is at the very basis of many if not all of the amazing developments and success stories ending up with many of the products used by the public at large in everyday life.\nNon-Newtonian fluid mechanics, which is an integral part of rheology, really made big strides only after WWII and has been developing at a rapid rate ever since. The development of reliable constitutive formulations to predict the behavior of flowing substances with non-linear stress–strain relationships is quite a difficult proposition by comparison with Newtonian fluid mechanics with linear stress–strain relationship. The latter does enjoy a head start of two centuries tracing back its inception to Newton and luminaries like Euler and Bernoulli. With the former the non-linear structure does not allow the merging of the constitutive equations for the stress components with the linear momentum equation as it is the case with Newtonian fluids ending up with the Navier–Stokes equations. Thus, the practitioner ends up with six additional scalar equations to be solved in three dimensions for the six independent components of the symmetric stress tensor. The difficulties in solving in tandem this set of non-linear field equations, which may involve both inertial and constitutive non-linearities, cannot be underestimated. Perhaps equally importantly at this point in time in the unfolding development of the science, we are not fortunate enough to have developed a single constitutive formulation for viscoelastic fluids, which may lend itself to most applications and yield reasonably accurate predictions together with the field balance equations. The field is littered with a plethora of equations, some of which may yield reasonable predictions in some flows and utterly unacceptable predictions in others. Thus, we end up with classes of equations for viscoelastic fluids that would apply to classes of flows and fluids, an ad hoc concept at best that hopefully will give way one day to a universal equation, which may apply to all fluids in all motions. In addition the stability of these equations is a very important issue. Any given constitutive equation should be stable in the Hadamard and dissipative sense and should not violate the basic principles of thermodynamics.\nDynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross section and in the laminar motion of particle-laden linear fluids. The latter secondary flows are driven by normal stresses due to shear-induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses is opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross sections which entails unbalanced normal Reynolds stresses in the cross section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross sections if the symmetry is somehow broken due, for example, to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field both in laminar and turbulent motion of particle-laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. Thus a complete review of both is presented including interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor.\nThe impact of the secondary flows on engineering calculations is particularly important as turbulent flows in ducts of non-circular cross section are often encountered in engineering practice. Some examples are flows in heat exchangers, ventilation and air-conditioning systems, nuclear reactors, impellers, blade passages, aircraft intakes, and turbomachinery. If neglected significant errors may be introduced\nin the design as secondary flows lead to additional friction losses and can shift the location of the maximum momentum transport from the duct centerline. The secondary velocity depends on cross-sectional coordinates alone and therefore is independent of end effects. It is only of the order of 1–3 % of the streamwise bulk velocity, but by transporting high-momentum fluid toward the corners, it distorts substantially the cross-sectional equal axial velocity lines; specifically it causes a bulging of the velocity contours toward the corners with important consequences\nsuch as considerable friction losses. The need for turbulence models that can reliably predict the secondary flows that may occur in engineering applications is of paramount importance.\nEfforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them. The link between..... \nPalapye, Botswana and Santiago, Chile \nDennis A. Siginer\n","internal_url":"https://www.academia.edu/44275018/Developments_in_the_Flow_of_Complex_Fluids_in_Tubes","translated_internal_url":"","created_at":"2020-10-11T13:08:17.979-07:00","section":"Books","preview_url":null,"current_user_can_edit":true,"current_user_is_owner":true,"owner_id":33969261,"coauthors_can_edit":true,"document_type":"book","co_author_tags":[],"downloadable_attachments":[{"id":64652860,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/64652860/thumbnails/1.jpg","file_name":"SIGINER 2 - DEVELOPMENTS IN THE FLOW OF COMPLEX FLUIDS IN TUBES.pdf","download_url":"https://www.academia.edu/attachments/64652860/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Developments_in_the_Flow_of_Complex_Flui.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/64652860/SIGINER_2_-_DEVELOPMENTS_IN_THE_FLOW_OF_COMPLEX_FLUIDS_IN_TUBES-libre.pdf?1602448733=\u0026response-content-disposition=attachment%3B+filename%3DDevelopments_in_the_Flow_of_Complex_Flui.pdf\u0026Expires=1736105852\u0026Signature=N32fosSakc7fCiNIMYxcYwTBhfT9BFp2OaE-3I3NCzHb-zHQrWS~X-tXAjn5rJcnYUa3jtupiNnibIB3J9JPJwkx~YdfBOu6QhZ6HkRttF0pFu9I0uYngIIunaNmG2DKTvxtsnPCMpQ6MYf7vThaOoJgfh0VGrfxYWcudZ9iIPypuzuoVvYrvQHrv939PfVKrKJcehZrdYQUmmBv1IWInOu4XVsJwUWNwHZt6T9gZEeYL-8WZkhIVWhFhFle8xSm-eIk3WpG~o4fpjDJ6iSoDLS3JkwmbREyWEccP6Qo2pvnF-Kve~-YYTdOTEsjBZGIl1VTCv3hwkZYndHgNfARNg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":64681259,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/64681259/thumbnails/1.jpg","file_name":"SIGINER_5_DEVELOPMENTS_IN_THE_FLOW_OF_COMPLEX_FLUIDS_IN_TUBES.pdf","download_url":"https://www.academia.edu/attachments/64681259/download_file?st=MTczNjEyMDkzNiw4LjIyMi4yMDguMTQ2&","bulk_download_file_name":"Developments_in_the_Flow_of_Complex_Flui.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/64681259/SIGINER_5_DEVELOPMENTS_IN_THE_FLOW_OF_COMPLEX_FLUIDS_IN_TUBES-libre.pdf?1602705610=\u0026response-content-disposition=attachment%3B+filename%3DDevelopments_in_the_Flow_of_Complex_Flui.pdf\u0026Expires=1736105852\u0026Signature=cX~dqdnbebzPIrv9CuUKz4-Gfji~wCy6lm6dFQeVMTfwcMN1kZFLXVksgmo3~sAsuQ-a2ump~8W-NJml~LVdDyEBIWQpLkvW~1l-GcbMMhNmjLFP0-yj3M1cjabOYGbq92pEoYZP6gqOB10x11VzIbUM~pZW7WpggBuZ21rlhYNx0vPsvw1jEKSYiP0yD2rBzPDCNNBof3KFW2UFRqVAzkWnRXLv5Uy1F~74wExYRVN~vI0Cegqe-E37IiRe1fXIlhRIkPgu~foAlwBtXFWFXg~lMlxAwyC1nk0rGLrpu8K4rLu3kAWE9KGo0GJ62sVExyuozfrhutUQF1N4m8JUxg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Developments_in_the_Flow_of_Complex_Fluids_in_Tubes","translated_slug":"","page_count":169,"language":"en","content_type":"Work","summary":"This monograph together with its complimentary volume [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014] in this series is an attempt to give an overall comprehensive view of a complex field, only 60 or so years old, still far from being settled on firm grounds, that of the dynamics of viscoelastic fluid flow and suspension flow in tubes. The monograph on “Stability of Non-linear Constitutive Formulations for Viscoelastic Fluid Media” covers the development of constitutive equation formulations for viscoelastic fluids in their historical context together with the latest progress made, and this volume covers the state-of-the-art knowledge in predicting the flow of viscoelastic fluids and suspensions in tubes highlighting the historical as well as the most recent findings. Most if not all viscoelastic fluids in industrial manufacturing processes flow in laminar regime through tubes, which are not necessarily circular, at one time or another during the processing of the material. Laminar regime is by far the predominant flow mode for viscoelastic fluids encountered in manufacturing processes, and it is extensively covered in this monograph. Turbulent flow of dilute viscoelastic solutions is a topic which has not received much attention except when related to drag reduction. For particle-laden flows there are very interesting developments in both laminar and turbulent regime, and they are duly covered. It is critically important that the flow of non-linear viscoelastic fluids and suspensions in tubes can be predicted on a sound basis, thus the raison d’eˆtre of this volume. As flow behavior predictions are directly related to the constitutive formulations used, this volume relies heavily on the volume on [Siginer, D. A., Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids, Springer, New York, 2014]. \nThe science of rheology defined as the study of the deformation and flow of matter was virtually single-handedly founded and the name invented by Professor Bingham of Lafayette College in the late 1920s. Rheology is a wide encompassing science which covers the study of the deformation and flow of diverse materials such as polymers, suspensions, asphalt, lubricants, paints, plastics, rubber, and biofluids, all of which display non-Newtonian behavior when subjected to external stimuli and as a result deform and flow in a manner not predictable by Newtonian mechanics.\nThe development of rheology, which had gotten to a slow start, took a boost during WWII as materials used in various applications, in flame throwers, for instance, were found to be viscoelastic. As Truesdell and Noll famously wrote [Truesdell, C. and Noll, W., the Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992] “By 1949 all work on the foundations of Rheology done before 1945 had been rendered obsolete.” In the years following WWII, the emergence and rapid growth of the synthetic fiber and polymer processing industries, appearance of liquid detergents, multigrade oils, non-drip paints, and contact adhesives, and developments in pharmaceutical and food industries and biotechnology spurred the development of rheology. All these examples clearly illustrate the relevance of rheological studies to life and industry. The reliance of all these fields on rheological studies is at the very basis of many if not all of the amazing developments and success stories ending up with many of the products used by the public at large in everyday life.\nNon-Newtonian fluid mechanics, which is an integral part of rheology, really made big strides only after WWII and has been developing at a rapid rate ever since. The development of reliable constitutive formulations to predict the behavior of flowing substances with non-linear stress–strain relationships is quite a difficult proposition by comparison with Newtonian fluid mechanics with linear stress–strain relationship. The latter does enjoy a head start of two centuries tracing back its inception to Newton and luminaries like Euler and Bernoulli. With the former the non-linear structure does not allow the merging of the constitutive equations for the stress components with the linear momentum equation as it is the case with Newtonian fluids ending up with the Navier–Stokes equations. Thus, the practitioner ends up with six additional scalar equations to be solved in three dimensions for the six independent components of the symmetric stress tensor. The difficulties in solving in tandem this set of non-linear field equations, which may involve both inertial and constitutive non-linearities, cannot be underestimated. Perhaps equally importantly at this point in time in the unfolding development of the science, we are not fortunate enough to have developed a single constitutive formulation for viscoelastic fluids, which may lend itself to most applications and yield reasonably accurate predictions together with the field balance equations. The field is littered with a plethora of equations, some of which may yield reasonable predictions in some flows and utterly unacceptable predictions in others. Thus, we end up with classes of equations for viscoelastic fluids that would apply to classes of flows and fluids, an ad hoc concept at best that hopefully will give way one day to a universal equation, which may apply to all fluids in all motions. In addition the stability of these equations is a very important issue. Any given constitutive equation should be stable in the Hadamard and dissipative sense and should not violate the basic principles of thermodynamics.\nDynamics of tube flow of non-Brownian suspensions and its underpinning field turbulent motion of linear (Newtonian) fluids shows interesting similarities with the flow of viscoelastic fluids in that the secondary flows of viscoelastic fluids in laminar flow driven by unbalanced normal stresses have a counterpart in the turbulent motion of linear fluids in straight tubes of non-circular cross section and in the laminar motion of particle-laden linear fluids. The latter secondary flows are driven by normal stresses due to shear-induced migration of particles. This is a new topic of hot research thrust given its implications in applications. The direction of these normal stresses is opposite of those present in the flow field of a viscoelastic fluid. In fact the tying thread among these seemingly different motions is that all are driven by normal stresses. The turbulent flow of linear fluids is known to have a transversal field due to the anisotropy of the Reynolds stress tensor in non-circular cross sections which entails unbalanced normal Reynolds stresses in the cross section perpendicular to the axial direction. Secondary field also exists in the turbulent flow of linear fluids in circular cross sections if the symmetry is somehow broken due, for example, to unevenly distributed roughness on the boundary, which would again trigger anisotropy of the Reynolds stress tensor. It is not possible to develop a good understanding of the mechanics of the secondary field both in laminar and turbulent motion of particle-laden fluids without a clear grasp of the underlying mechanics of the turbulent secondary field of homogeneous linear fluids. Thus a complete review of both is presented including interesting constitutive similarities with viscoelastic fluids which do arise when certain non-linear closure approximations are made for the anisotropic part of the Reynolds stress tensor.\nThe impact of the secondary flows on engineering calculations is particularly important as turbulent flows in ducts of non-circular cross section are often encountered in engineering practice. Some examples are flows in heat exchangers, ventilation and air-conditioning systems, nuclear reactors, impellers, blade passages, aircraft intakes, and turbomachinery. If neglected significant errors may be introduced\nin the design as secondary flows lead to additional friction losses and can shift the location of the maximum momentum transport from the duct centerline. The secondary velocity depends on cross-sectional coordinates alone and therefore is independent of end effects. It is only of the order of 1–3 % of the streamwise bulk velocity, but by transporting high-momentum fluid toward the corners, it distorts substantially the cross-sectional equal axial velocity lines; specifically it causes a bulging of the velocity contours toward the corners with important consequences\nsuch as considerable friction losses. The need for turbulence models that can reliably predict the secondary flows that may occur in engineering applications is of paramount importance.\nEfforts have not been spared to be thorough in the presentation with commentaries about the successes and failures of each theory and the reasons behind them. The link between..... \nPalapye, Botswana and Santiago, Chile \nDennis A. Siginer\n","owner":{"id":33969261,"first_name":"Dennis","middle_initials":"A .","last_name":"Siginer","page_name":"DennisSiginer","domain_name":"usach","created_at":"2015-08-17T00:46:15.499-07:00","display_name":"Dennis A . 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