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class="user-content-wrapper"><div class="uploads-container" id="social-redesign-work-container"><div class="upload-header"><h2 class="ds2-5-heading-sans-serif-xs">Uploads</h2></div><div class="documents-container 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 Mario Letelier</h3></div><div class="js-work-strip profile--work_container" data-work-id="126699596"><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/126699596/Tendencias_de_la_Educaci%C3%B3n_Superior_Elementos_para_un_An%C3%A1lisis_Prospectivo"><img alt="Research paper thumbnail of Tendencias de la Educación Superior. Elementos para un Análisis Prospectivo" 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/126699596/Tendencias_de_la_Educaci%C3%B3n_Superior_Elementos_para_un_An%C3%A1lisis_Prospectivo">Tendencias de la Educación Superior. Elementos para un Análisis Prospectivo</a></div><div class="wp-workCard_item"><span>CPU</span><span>, 1990</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="126699596"><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="126699596"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 126699596; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=126699596]").text(description); $(".js-view-count[data-work-id=126699596]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 126699596; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='126699596']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 126699596, 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" } } $('.js-work-strip[data-work-id=126699596]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":126699596,"title":"Tendencias de la Educación Superior. 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This study complements results presented in [1] where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in [2]. Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed reg...</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="120593253"><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="120593253"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 120593253; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=120593253]").text(description); $(".js-view-count[data-work-id=120593253]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 120593253; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='120593253']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 120593253, 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" } } $('.js-work-strip[data-work-id=120593253]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":120593253,"title":"Herschel-Bulkley Viscoplastic Flow in Tubes of Non-Circular Cross-Section","translated_title":"","metadata":{"abstract":"Flow of a Herschel-Bulkley (H-B) fluid in tubes of non-circular cross-section in investigated analytically. 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This study complements results presented in [1] where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in [2]. Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed reg...","internal_url":"https://www.academia.edu/120593253/Herschel_Bulkley_Viscoplastic_Flow_in_Tubes_of_Non_Circular_Cross_Section","translated_internal_url":"","created_at":"2024-06-05T11:42:10.992-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Herschel_Bulkley_Viscoplastic_Flow_in_Tubes_of_Non_Circular_Cross_Section","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Flow of a Herschel-Bulkley (H-B) fluid in tubes of non-circular cross-section in investigated analytically. This study complements results presented in [1] where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in [2]. Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed reg...","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology"},{"id":2381,"name":"Viscoplasticity","url":"https://www.academia.edu/Documents/in/Viscoplasticity"},{"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"}],"urls":[{"id":42679568,"url":"http://asmedigitalcollection.asme.org/FEDSM/proceedings-pdf/doi/10.1115/FEDSM2016-1069/2385278/v01bt34a001-fedsm2016-1069.pdf"}]}, dispatcherData: dispatcherData }); 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Propuestas de un modelo de transición entre educación media y educación superior</a></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="120593249"><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="120593249"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 120593249; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=120593249]").text(description); $(".js-view-count[data-work-id=120593249]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 120593249; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='120593249']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 120593249, 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" } } $('.js-work-strip[data-work-id=120593249]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":120593249,"title":"3. Propuestas de un modelo de transición entre educación media y educación superior","translated_title":"","metadata":{},"translated_abstract":null,"internal_url":"https://www.academia.edu/120593249/3_Propuestas_de_un_modelo_de_transici%C3%B3n_entre_educaci%C3%B3n_media_y_educaci%C3%B3n_superior","translated_internal_url":"","created_at":"2024-06-05T11:42:10.354-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"3_Propuestas_de_un_modelo_de_transición_entre_educación_media_y_educación_superior","translated_slug":"","page_count":null,"language":"es","content_type":"Work","summary":null,"owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[],"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="119897293"><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/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow"><img alt="Research paper thumbnail of Frequency-dependent friction in oscillatory laminar pipe flow" 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/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow">Frequency-dependent friction in oscillatory laminar pipe flow</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficie...</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 Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.</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="119897293"><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="119897293"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897293; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=119897293]").text(description); $(".js-view-count[data-work-id=119897293]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 119897293; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='119897293']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 119897293, 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" } } $('.js-work-strip[data-work-id=119897293]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":119897293,"title":"Frequency-dependent friction in oscillatory laminar pipe flow","translated_title":"","metadata":{"abstract":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","publication_date":{"day":1,"month":11,"year":1974,"errors":{}}},"translated_abstract":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","internal_url":"https://www.academia.edu/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow","translated_internal_url":"","created_at":"2024-05-23T16:39:12.339-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":96825,"name":"Manufacturing Engineering","url":"https://www.academia.edu/Documents/in/Manufacturing_Engineering"},{"id":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"},{"id":188256,"name":"Pipe Flow","url":"https://www.academia.edu/Documents/in/Pipe_Flow"},{"id":303571,"name":"Compressibility","url":"https://www.academia.edu/Documents/in/Compressibility"},{"id":349439,"name":"Frequency Dependence","url":"https://www.academia.edu/Documents/in/Frequency_Dependence"},{"id":872274,"name":"Compressible Flow","url":"https://www.academia.edu/Documents/in/Compressible_Flow"},{"id":3854404,"name":"Mechanical Sciences","url":"https://www.academia.edu/Documents/in/Mechanical_Sciences"}],"urls":[{"id":42264966,"url":"https://ui.adsabs.harvard.edu/abs/1974IJMeS..16..819J/abstract"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="119897292"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/119897292/Closure_to_Skin_Friction_in_Unsteady_Laminar_Pipe_Flow_"><img alt="Research paper thumbnail of Closure to “Skin Friction in Unsteady Laminar Pipe Flow”" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/119897292/Closure_to_Skin_Friction_in_Unsteady_Laminar_Pipe_Flow_">Closure to “Skin Friction in Unsteady Laminar Pipe Flow”</a></div><div class="wp-workCard_item"><span>Journal of the Hydraulics Division</span><span>, Jul 1, 1977</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="119897292"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="119897292"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897292; 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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="119897291"><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/119897291/Laminar_Flow_in_Conduits_of_Unconventional_Shape"><img alt="Research paper thumbnail of Laminar Flow in Conduits of Unconventional Shape" 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/119897291/Laminar_Flow_in_Conduits_of_Unconventional_Shape">Laminar Flow in Conduits of Unconventional Shape</a></div><div class="wp-workCard_item"><span>Journal of Engineering Mechanics-asce</span><span>, Jun 1, 1985</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A new analytical solution technique is presented which greatly extends the range of conduit shape...</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 new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.</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="119897291"><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="119897291"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897291; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=119897291]").text(description); $(".js-view-count[data-work-id=119897291]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 119897291; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='119897291']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 119897291, 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" } } $('.js-work-strip[data-work-id=119897291]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":119897291,"title":"Laminar Flow in Conduits of Unconventional Shape","translated_title":"","metadata":{"abstract":"A new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.","publisher":"American Society of Civil Engineers","publication_date":{"day":1,"month":6,"year":1985,"errors":{}},"publication_name":"Journal of Engineering Mechanics-asce"},"translated_abstract":"A new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. 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In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":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":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"}],"urls":[{"id":42264964,"url":"https://doi.org/10.1061/(asce)0733-9399(1985)111:6(768)"}]}, 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="115633740"><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/115633740/Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus"><img alt="Research paper thumbnail of Flow of a Power-Law Fluid in a Distorted Annulus" 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/115633740/Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus">Flow of a Power-Law Fluid in a Distorted Annulus</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The velocity field is analytically determined for the case of power-law fluid axial flow in non-c...</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 velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. The flow is assumed driven by the axial motion of the inner wall. A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are 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="115633740"><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="115633740"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633740; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633740]").text(description); $(".js-view-count[data-work-id=115633740]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633740; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633740']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633740, 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" } } $('.js-work-strip[data-work-id=115633740]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633740,"title":"Flow of a Power-Law Fluid in a Distorted Annulus","translated_title":"","metadata":{"abstract":"The velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. 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A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. 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The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are discussed.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":113890,"name":"Power Law","url":"https://www.academia.edu/Documents/in/Power_Law"}],"urls":[{"id":39935291,"url":"https://doi.org/10.1115/imece1996-0223"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="115633739"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/115633739/Engineering_Education_in_Chile_Tradition_Trends_and_Prospects_for_Evaluation"><img alt="Research paper thumbnail of Engineering Education in Chile: Tradition, Trends, and Prospects for Evaluation" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/115633739/Engineering_Education_in_Chile_Tradition_Trends_and_Prospects_for_Evaluation">Engineering Education in Chile: Tradition, Trends, and Prospects for Evaluation</a></div><div class="wp-workCard_item"><span>European Journal of Engineering Education</span><span>, 1993</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="115633739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="115633739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633739; 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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="115633738"><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/115633738/Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes"><img alt="Research paper thumbnail of Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes" 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/115633738/Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes">Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes</a></div><div class="wp-workCard_item"><span>American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The transversal flow field in pipes of non-circular cross-section shapes is determined for a Gree...</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 transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.</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="115633738"><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="115633738"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633738; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633738]").text(description); $(".js-view-count[data-work-id=115633738]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633738; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633738']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633738, 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" } } $('.js-work-strip[data-work-id=115633738]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633738,"title":"Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes","translated_title":"","metadata":{"abstract":"The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. 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</script> <div class="js-work-strip profile--work_container" data-work-id="115633737"><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/115633737/Thermally_Developing_Heat_Transfer_in_Tubes_of_Arbitrary_Cross_Section_Including_Axial_Conduction_and_Viscous_Dissipation"><img alt="Research paper thumbnail of Thermally Developing Heat Transfer in Tubes of Arbitrary Cross Section Including Axial Conduction and Viscous Dissipation" 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/115633737/Thermally_Developing_Heat_Transfer_in_Tubes_of_Arbitrary_Cross_Section_Including_Axial_Conduction_and_Viscous_Dissipation">Thermally Developing Heat Transfer in Tubes of Arbitrary Cross Section Including Axial Conduction and Viscous Dissipation</a></div><div class="wp-workCard_item"><span>International Journal of Thermal Sciences</span><span>, 2016</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="115633737"><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="115633737"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633737; 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$(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="115633736"><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/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem"><img alt="Research paper thumbnail of Refined mathematical analysis of the capillary penetration problem" 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/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem">Refined mathematical analysis of the capillary penetration problem</a></div><div class="wp-workCard_item"><span>Journal of Colloid and Interface Science</span><span>, Dec 1, 1979</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] ...</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">... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...</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="115633736"><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="115633736"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633736; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633736]").text(description); $(".js-view-count[data-work-id=115633736]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633736; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633736']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633736, 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" } } $('.js-work-strip[data-work-id=115633736]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633736,"title":"Refined mathematical analysis of the capillary penetration problem","translated_title":"","metadata":{"abstract":"... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...","publisher":"Elsevier BV","publication_date":{"day":1,"month":12,"year":1979,"errors":{}},"publication_name":"Journal of Colloid and Interface Science"},"translated_abstract":"... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...","internal_url":"https://www.academia.edu/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem","translated_internal_url":"","created_at":"2024-03-01T04:59:14.214-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Refined_mathematical_analysis_of_the_capillary_penetration_problem","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"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":39579,"name":"Colloid and Interface Chemistry","url":"https://www.academia.edu/Documents/in/Colloid_and_Interface_Chemistry"},{"id":86034,"name":"Mathematical Analysis","url":"https://www.academia.edu/Documents/in/Mathematical_Analysis"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES"},{"id":303571,"name":"Compressibility","url":"https://www.academia.edu/Documents/in/Compressibility"},{"id":765146,"name":"Differential equation","url":"https://www.academia.edu/Documents/in/Differential_equation"},{"id":871208,"name":"Newtonian Fluid","url":"https://www.academia.edu/Documents/in/Newtonian_Fluid"}],"urls":[{"id":39935287,"url":"https://doi.org/10.1016/0021-9797(79)90347-3"}]}, 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="115633735"><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/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow"><img alt="Research paper thumbnail of Skin Friction in Unsteady Laminar Pipe Flow" 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/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow">Skin Friction in Unsteady Laminar Pipe Flow</a></div><div class="wp-workCard_item"><span>Journal of the Hydraulics Division</span><span>, 1976</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The routine approach toward solving problems of unsteady pipe flow utilizes either the concept 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 routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. It is shown that neither of the simplifying assumptions corresponds to reality, and that both tend to severely underestimate the frictional resistance. It is suggested that similar conclusions may also pertain to unsteady turbulent pipe flow.</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="115633735"><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="115633735"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633735; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633735]").text(description); $(".js-view-count[data-work-id=115633735]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633735; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633735']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633735, 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" } } $('.js-work-strip[data-work-id=115633735]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633735,"title":"Skin Friction in Unsteady Laminar Pipe Flow","translated_title":"","metadata":{"abstract":"The routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. 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These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. It is shown that neither of the simplifying assumptions corresponds to reality, and that both tend to severely underestimate the frictional resistance. It is suggested that similar conclusions may also pertain to unsteady turbulent pipe flow.","internal_url":"https://www.academia.edu/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow","translated_internal_url":"","created_at":"2024-03-01T04:59:14.013-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Skin_Friction_in_Unsteady_Laminar_Pipe_Flow","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"The routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. 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Letelier and Hans J. Leutheusser (June, 1985, Vol. 110, No. 6)" 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/115633734/Closure_to_Laminar_Flow_in_Conduits_of_Unconventional_Shape_by_Mario_F_Letelier_and_Hans_J_Leutheusser_June_1985_Vol_110_No_6_">Closure to “ Laminar Flow in Conduits of Unconventional Shape ” by Mario F. Letelier and Hans J. Leutheusser (June, 1985, Vol. 110, No. 6)</a></div><div class="wp-workCard_item"><span>Journal of Engineering Mechanics-asce</span><span>, Aug 1, 1987</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="115633734"><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="115633734"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633734; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633734]").text(description); $(".js-view-count[data-work-id=115633734]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633734; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633734']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633734, 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" } } $('.js-work-strip[data-work-id=115633734]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633734,"title":"Closure to “ Laminar Flow in Conduits of Unconventional Shape ” by Mario F. 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The flow is assumed steady and the pipe circular. The equations of motion are solved and the velocity, rate of flow, and friction factor are determined. Friction effects are related to the Reynolds number and to other flow parameters, such as the Deborah number.</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="115633732"><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="115633732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633732; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633732]").text(description); $(".js-view-count[data-work-id=115633732]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633732; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633732']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633732, 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" } } $('.js-work-strip[data-work-id=115633732]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633732,"title":"Friction Effects in Pipe Flow of Phan-Thien-Tanner Fluids","translated_title":"","metadata":{"abstract":"An analytical study of the friction law for rectilinear flow a Phan-Thien-Tanner fluid is presented. 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applications of extended calculus to non-Newtonian flow in pipes</a></div><div class="wp-workCard_item"><span>Journal of The Brazilian Society of Mechanical Sciences and Engineering</span><span>, Jan 16, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for p...</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">Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work, two novel and compact methods are presented as an alternative to the fractional calculation options. To test the feasibility of proposed methods, three classical fluid mechanic problems are studied: the flow through circular pipe, parallel plates and annulus, by modifying the constitutive equations into their fractional equivalent. On the other hand, a new weighted non-Newtonian derivative is proposed to extend the possibilities to model fluid viscosity based on the influence of nonadjacent layers, using the pipe flow as an example. Results show that proposed fractional models can describe shear-thinning and shear-thickening behaviors depending on the fractional order of the derivative, while the weighted derivative allows to expand the way viscosity is modeled, demonstrating the suitability of these approaches to describe physical 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="115633729"><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="115633729"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633729; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633729]").text(description); $(".js-view-count[data-work-id=115633729]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633729; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633729']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633729, 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" } } $('.js-work-strip[data-work-id=115633729]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633729,"title":"Some applications of extended calculus to non-Newtonian flow in pipes","translated_title":"","metadata":{"abstract":"Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. 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This study complements results presented in [1] where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in [2]. Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed reg...</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="120593253"><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="120593253"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 120593253; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=120593253]").text(description); $(".js-view-count[data-work-id=120593253]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 120593253; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='120593253']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 120593253, 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" } } $('.js-work-strip[data-work-id=120593253]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":120593253,"title":"Herschel-Bulkley Viscoplastic Flow in Tubes of Non-Circular Cross-Section","translated_title":"","metadata":{"abstract":"Flow of a Herschel-Bulkley (H-B) fluid in tubes of non-circular cross-section in investigated analytically. 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Propuestas de un modelo de transición entre educación media y educación superior","translated_title":"","metadata":{},"translated_abstract":null,"internal_url":"https://www.academia.edu/120593249/3_Propuestas_de_un_modelo_de_transici%C3%B3n_entre_educaci%C3%B3n_media_y_educaci%C3%B3n_superior","translated_internal_url":"","created_at":"2024-06-05T11:42:10.354-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"3_Propuestas_de_un_modelo_de_transición_entre_educación_media_y_educación_superior","translated_slug":"","page_count":null,"language":"es","content_type":"Work","summary":null,"owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[],"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="119897293"><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/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow"><img alt="Research paper thumbnail of Frequency-dependent friction in oscillatory laminar pipe flow" 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/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow">Frequency-dependent friction in oscillatory laminar pipe flow</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficie...</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 Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.</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="119897293"><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="119897293"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897293; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=119897293]").text(description); $(".js-view-count[data-work-id=119897293]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 119897293; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='119897293']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 119897293, 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" } } $('.js-work-strip[data-work-id=119897293]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":119897293,"title":"Frequency-dependent friction in oscillatory laminar pipe flow","translated_title":"","metadata":{"abstract":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","publication_date":{"day":1,"month":11,"year":1974,"errors":{}}},"translated_abstract":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","internal_url":"https://www.academia.edu/119897293/Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow","translated_internal_url":"","created_at":"2024-05-23T16:39:12.339-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Frequency_dependent_friction_in_oscillatory_laminar_pipe_flow","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Abstract Based on the Iberall model of fluid transients, a frequency-dependent friction coefficient is derived for laminar pipe flow of compressible fluids. The analysis, employing Laplace transformation, is of particular utility in the description of fluid motions which are naturally periodic and, hence, where the dependency of skin friction on frequency of excitation can be accounted for by expressing the coefficient in terms of the dominant frequency of the system. The analytical result is applied to the classical example of oscillations of an incompressible fluid in an open-ended U-tube. In distinct contrast to predictions based on the very common, quasi-steady engineering approximation of skin friction effects, the theory is found to be in excellent agreement with actual observations of successive peaks of the column motion over the whole range of frequencies investigated.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":96825,"name":"Manufacturing Engineering","url":"https://www.academia.edu/Documents/in/Manufacturing_Engineering"},{"id":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"},{"id":188256,"name":"Pipe Flow","url":"https://www.academia.edu/Documents/in/Pipe_Flow"},{"id":303571,"name":"Compressibility","url":"https://www.academia.edu/Documents/in/Compressibility"},{"id":349439,"name":"Frequency Dependence","url":"https://www.academia.edu/Documents/in/Frequency_Dependence"},{"id":872274,"name":"Compressible Flow","url":"https://www.academia.edu/Documents/in/Compressible_Flow"},{"id":3854404,"name":"Mechanical Sciences","url":"https://www.academia.edu/Documents/in/Mechanical_Sciences"}],"urls":[{"id":42264966,"url":"https://ui.adsabs.harvard.edu/abs/1974IJMeS..16..819J/abstract"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="119897292"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/119897292/Closure_to_Skin_Friction_in_Unsteady_Laminar_Pipe_Flow_"><img alt="Research paper thumbnail of Closure to “Skin Friction in Unsteady Laminar Pipe Flow”" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/119897292/Closure_to_Skin_Friction_in_Unsteady_Laminar_Pipe_Flow_">Closure to “Skin Friction in Unsteady Laminar Pipe Flow”</a></div><div class="wp-workCard_item"><span>Journal of the Hydraulics Division</span><span>, Jul 1, 1977</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="119897292"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="119897292"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897292; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=119897292]").text(description); $(".js-view-count[data-work-id=119897292]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 119897292; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='119897292']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 119897292, 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); 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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="119897291"><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/119897291/Laminar_Flow_in_Conduits_of_Unconventional_Shape"><img alt="Research paper thumbnail of Laminar Flow in Conduits of Unconventional Shape" 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/119897291/Laminar_Flow_in_Conduits_of_Unconventional_Shape">Laminar Flow in Conduits of Unconventional Shape</a></div><div class="wp-workCard_item"><span>Journal of Engineering Mechanics-asce</span><span>, Jun 1, 1985</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A new analytical solution technique is presented which greatly extends the range of conduit shape...</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 new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.</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="119897291"><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="119897291"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 119897291; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=119897291]").text(description); $(".js-view-count[data-work-id=119897291]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 119897291; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='119897291']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 119897291, 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" } } $('.js-work-strip[data-work-id=119897291]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":119897291,"title":"Laminar Flow in Conduits of Unconventional Shape","translated_title":"","metadata":{"abstract":"A new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.","publisher":"American Society of Civil Engineers","publication_date":{"day":1,"month":6,"year":1985,"errors":{}},"publication_name":"Journal of Engineering Mechanics-asce"},"translated_abstract":"A new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.","internal_url":"https://www.academia.edu/119897291/Laminar_Flow_in_Conduits_of_Unconventional_Shape","translated_internal_url":"","created_at":"2024-05-23T16:39:11.036-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Laminar_Flow_in_Conduits_of_Unconventional_Shape","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"A new analytical solution technique is presented which greatly extends the range of conduit shapes for which a mathematical description of the enclosed laminar flow becomes possible. To this end, a known particular solution up of the Poisson equation is linearly combined with some harmonic function uh in the form u=up+euh. In this, e≷0 is a parameter which determines the shape of “new” conduits and whose range of possible values is governed by the no‐slip condition.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":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":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"}],"urls":[{"id":42264964,"url":"https://doi.org/10.1061/(asce)0733-9399(1985)111:6(768)"}]}, 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="115633740"><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/115633740/Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus"><img alt="Research paper thumbnail of Flow of a Power-Law Fluid in a Distorted Annulus" 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/115633740/Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus">Flow of a Power-Law Fluid in a Distorted Annulus</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The velocity field is analytically determined for the case of power-law fluid axial flow in non-c...</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 velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. The flow is assumed driven by the axial motion of the inner wall. A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are 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="115633740"><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="115633740"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633740; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633740]").text(description); $(".js-view-count[data-work-id=115633740]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633740; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633740']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633740, 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" } } $('.js-work-strip[data-work-id=115633740]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633740,"title":"Flow of a Power-Law Fluid in a Distorted Annulus","translated_title":"","metadata":{"abstract":"The velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. The flow is assumed driven by the axial motion of the inner wall. A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are discussed.","publication_date":{"day":17,"month":11,"year":1996,"errors":{}}},"translated_abstract":"The velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. The flow is assumed driven by the axial motion of the inner wall. A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are discussed.","internal_url":"https://www.academia.edu/115633740/Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus","translated_internal_url":"","created_at":"2024-03-01T04:59:14.974-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Flow_of_a_Power_Law_Fluid_in_a_Distorted_Annulus","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"The velocity field is analytically determined for the case of power-law fluid axial flow in non-circular annuli, in which the inner wall is essentially circular, and the outer wall may exhibit a wide variety of shapes. The flow is assumed driven by the axial motion of the inner wall. A perturbation scheme is developed for power-law indices close the unity. The analysis is pursued for two specific shapes of the cross-section outer wall. By assigning appropriate values to the shape parameters, the two annulus shapes herein presented show three, and four, respectively, curved sides that generate, correspondingly, three, and four corners. Plots of isovels and velocity profiles are shown for several values of the significant parameters. Relationships between pipe geometry, fluid constants and flow velocity are discussed.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"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":113890,"name":"Power Law","url":"https://www.academia.edu/Documents/in/Power_Law"}],"urls":[{"id":39935291,"url":"https://doi.org/10.1115/imece1996-0223"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="115633739"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/115633739/Engineering_Education_in_Chile_Tradition_Trends_and_Prospects_for_Evaluation"><img alt="Research paper thumbnail of Engineering Education in Chile: Tradition, Trends, and Prospects for Evaluation" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/115633739/Engineering_Education_in_Chile_Tradition_Trends_and_Prospects_for_Evaluation">Engineering Education in Chile: Tradition, Trends, and Prospects for Evaluation</a></div><div class="wp-workCard_item"><span>European Journal of Engineering Education</span><span>, 1993</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="115633739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span><span id="work-strip-rankings-button-container"></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="115633739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633739; 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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="115633738"><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/115633738/Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes"><img alt="Research paper thumbnail of Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes" 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/115633738/Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes">Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes</a></div><div class="wp-workCard_item"><span>American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The transversal flow field in pipes of non-circular cross-section shapes is determined for a Gree...</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 transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.</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="115633738"><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="115633738"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633738; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633738]").text(description); $(".js-view-count[data-work-id=115633738]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633738; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633738']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633738, 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" } } $('.js-work-strip[data-work-id=115633738]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633738,"title":"Secondary flows of a viscoelastic fluid in pipes of complex cross-section shapes","translated_title":"","metadata":{"abstract":"The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}},"publication_name":"American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED"},"translated_abstract":"The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.","internal_url":"https://www.academia.edu/115633738/Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes","translated_internal_url":"","created_at":"2024-03-01T04:59:14.603-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Secondary_flows_of_a_viscoelastic_fluid_in_pipes_of_complex_cross_section_shapes","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"The transversal flow field in pipes of non-circular cross-section shapes is determined for a Green-Rivlin fluid. An analytical approach is presented, which is applicable to unsteady flows driven by small amplitude pressure gradients. Both the longitudinal flow velocity and secondary velocity components are found by prescribing a pipe contour through a shape factor conveniently defined. Secondary flow patterns are computed for several pipe shapes. Results are presented herein for the specific cases where the shape factor prescribes tube cross-section of approximately triangular, square and pentagonal shapes.","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology"},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics"},{"id":2383,"name":"Viscoelasticity","url":"https://www.academia.edu/Documents/in/Viscoelasticity"}],"urls":[{"id":39935289,"url":"https://biust.pure.elsevier.com/en/publications/secondary-flows-of-a-viscoelastic-fluid-in-pipes-of-complex-cross"}]}, 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="115633737"><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/115633737/Thermally_Developing_Heat_Transfer_in_Tubes_of_Arbitrary_Cross_Section_Including_Axial_Conduction_and_Viscous_Dissipation"><img alt="Research paper thumbnail of Thermally Developing Heat Transfer in Tubes of Arbitrary Cross Section Including Axial Conduction and Viscous Dissipation" 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/115633737/Thermally_Developing_Heat_Transfer_in_Tubes_of_Arbitrary_Cross_Section_Including_Axial_Conduction_and_Viscous_Dissipation">Thermally Developing Heat Transfer in Tubes of Arbitrary Cross Section Including Axial Conduction and Viscous Dissipation</a></div><div class="wp-workCard_item"><span>International Journal of Thermal Sciences</span><span>, 2016</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="115633737"><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="115633737"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633737; 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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="115633736"><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/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem"><img alt="Research paper thumbnail of Refined mathematical analysis of the capillary penetration problem" 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/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem">Refined mathematical analysis of the capillary penetration problem</a></div><div class="wp-workCard_item"><span>Journal of Colloid and Interface Science</span><span>, Dec 1, 1979</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] ...</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">... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...</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="115633736"><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="115633736"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633736; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633736]").text(description); $(".js-view-count[data-work-id=115633736]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633736; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633736']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633736, 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" } } $('.js-work-strip[data-work-id=115633736]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633736,"title":"Refined mathematical analysis of the capillary penetration problem","translated_title":"","metadata":{"abstract":"... 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It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...","internal_url":"https://www.academia.edu/115633736/Refined_mathematical_analysis_of_the_capillary_penetration_problem","translated_internal_url":"","created_at":"2024-03-01T04:59:14.214-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Refined_mathematical_analysis_of_the_capillary_penetration_problem","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"... In terms of [14], and putting xz - Xl = X, the dimensional form of the forcing function [13] is 2yL cos 0 ~b - g sin a. [15] paX Its nondimensional counterpart follows from [5]. It is a2pg/lz Uo {2yL COS O/(apg) } - sin a [16] X which suggests the following expressions for the applicable ...","owner":{"id":46747754,"first_name":"Mario","middle_initials":null,"last_name":"Letelier","page_name":"MarioLetelier","domain_name":"independent","created_at":"2016-04-10T06:36:08.757-07:00","display_name":"Mario Letelier","url":"https://independent.academia.edu/MarioLetelier"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"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":39579,"name":"Colloid and Interface Chemistry","url":"https://www.academia.edu/Documents/in/Colloid_and_Interface_Chemistry"},{"id":86034,"name":"Mathematical Analysis","url":"https://www.academia.edu/Documents/in/Mathematical_Analysis"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow"},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES"},{"id":303571,"name":"Compressibility","url":"https://www.academia.edu/Documents/in/Compressibility"},{"id":765146,"name":"Differential equation","url":"https://www.academia.edu/Documents/in/Differential_equation"},{"id":871208,"name":"Newtonian Fluid","url":"https://www.academia.edu/Documents/in/Newtonian_Fluid"}],"urls":[{"id":39935287,"url":"https://doi.org/10.1016/0021-9797(79)90347-3"}]}, 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="115633735"><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/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow"><img alt="Research paper thumbnail of Skin Friction in Unsteady Laminar Pipe Flow" 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/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow">Skin Friction in Unsteady Laminar Pipe Flow</a></div><div class="wp-workCard_item"><span>Journal of the Hydraulics Division</span><span>, 1976</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The routine approach toward solving problems of unsteady pipe flow utilizes either the concept 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 routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. It is shown that neither of the simplifying assumptions corresponds to reality, and that both tend to severely underestimate the frictional resistance. It is suggested that similar conclusions may also pertain to unsteady turbulent pipe flow.</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="115633735"><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="115633735"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633735; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633735]").text(description); $(".js-view-count[data-work-id=115633735]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633735; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633735']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633735, 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" } } $('.js-work-strip[data-work-id=115633735]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633735,"title":"Skin Friction in Unsteady Laminar Pipe Flow","translated_title":"","metadata":{"abstract":"The routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. It is shown that neither of the simplifying assumptions corresponds to reality, and that both tend to severely underestimate the frictional resistance. It is suggested that similar conclusions may also pertain to unsteady turbulent pipe flow.","publisher":"American Society of Civil Engineers","publication_date":{"day":null,"month":null,"year":1976,"errors":{}},"publication_name":"Journal of the Hydraulics Division"},"translated_abstract":"The routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. It is shown that neither of the simplifying assumptions corresponds to reality, and that both tend to severely underestimate the frictional resistance. It is suggested that similar conclusions may also pertain to unsteady turbulent pipe flow.","internal_url":"https://www.academia.edu/115633735/Skin_Friction_in_Unsteady_Laminar_Pipe_Flow","translated_internal_url":"","created_at":"2024-03-01T04:59:14.013-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Skin_Friction_in_Unsteady_Laminar_Pipe_Flow","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"The routine approach toward solving problems of unsteady pipe flow utilizes either the concept of a constant friction coefficient, or the model of quasi-steady flow. These two hypotheses are tested using exact analytical solutions and corroborating experimental evidence for two cases of time-dependent laminar pipe flow: (1) The establishment of Poiseuille flow: and (2) U-tube oscillations. 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Letelier and Hans J. Leutheusser (June, 1985, Vol. 110, No. 6)" 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/115633734/Closure_to_Laminar_Flow_in_Conduits_of_Unconventional_Shape_by_Mario_F_Letelier_and_Hans_J_Leutheusser_June_1985_Vol_110_No_6_">Closure to “ Laminar Flow in Conduits of Unconventional Shape ” by Mario F. Letelier and Hans J. 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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="115633732"><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/115633732/Friction_Effects_in_Pipe_Flow_of_Phan_Thien_Tanner_Fluids"><img alt="Research paper thumbnail of Friction Effects in Pipe Flow of Phan-Thien-Tanner 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/115633732/Friction_Effects_in_Pipe_Flow_of_Phan_Thien_Tanner_Fluids">Friction Effects in Pipe Flow of Phan-Thien-Tanner Fluids</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An analytical study of the friction law for rectilinear flow a Phan-Thien-Tanner fluid is present...</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">An analytical study of the friction law for rectilinear flow a Phan-Thien-Tanner fluid is presented. The flow is assumed steady and the pipe circular. The equations of motion are solved and the velocity, rate of flow, and friction factor are determined. Friction effects are related to the Reynolds number and to other flow parameters, such as the Deborah number.</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="115633732"><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="115633732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633732; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633732]").text(description); $(".js-view-count[data-work-id=115633732]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633732; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633732']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633732, 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" } } $('.js-work-strip[data-work-id=115633732]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633732,"title":"Friction Effects in Pipe Flow of Phan-Thien-Tanner Fluids","translated_title":"","metadata":{"abstract":"An analytical study of the friction law for rectilinear flow a Phan-Thien-Tanner fluid is presented. 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hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/115633730/Ley_de_fricci%C3%B3n_y_ecuaci%C3%B3n_unidimensional_de_movimiento_para_flujo_laminar_impermanente"><img alt="Research paper thumbnail of Ley de fricción y ecuación unidimensional de movimiento para flujo laminar impermanente" class="work-thumbnail" src="https://attachments.academia-assets.com/111986279/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/115633730/Ley_de_fricci%C3%B3n_y_ecuaci%C3%B3n_unidimensional_de_movimiento_para_flujo_laminar_impermanente">Ley de fricción y ecuación unidimensional de movimiento para flujo laminar impermanente</a></div><div class="wp-workCard_item"><span>Anales de la Universidad de Chile</span><span>, 1985</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d1f85b454c0f31014c9c99df2c801992" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":111986279,"asset_id":115633730,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/111986279/download_file?st=MTczNjI1Nzg5Nyw4LjIyMi4yMDguMTQ2&st=MTczNjI1Nzg5Nyw4LjIyMi4yMDguMTQ2&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="115633730"><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 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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="115633729"><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/115633729/Some_applications_of_extended_calculus_to_non_Newtonian_flow_in_pipes"><img alt="Research paper thumbnail of Some applications of extended calculus to non-Newtonian flow in pipes" 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/115633729/Some_applications_of_extended_calculus_to_non_Newtonian_flow_in_pipes">Some applications of extended calculus to non-Newtonian flow in pipes</a></div><div class="wp-workCard_item"><span>Journal of The Brazilian Society of Mechanical Sciences and Engineering</span><span>, Jan 16, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for p...</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">Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work, two novel and compact methods are presented as an alternative to the fractional calculation options. To test the feasibility of proposed methods, three classical fluid mechanic problems are studied: the flow through circular pipe, parallel plates and annulus, by modifying the constitutive equations into their fractional equivalent. On the other hand, a new weighted non-Newtonian derivative is proposed to extend the possibilities to model fluid viscosity based on the influence of nonadjacent layers, using the pipe flow as an example. Results show that proposed fractional models can describe shear-thinning and shear-thickening behaviors depending on the fractional order of the derivative, while the weighted derivative allows to expand the way viscosity is modeled, demonstrating the suitability of these approaches to describe physical 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="115633729"><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="115633729"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 115633729; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=115633729]").text(description); $(".js-view-count[data-work-id=115633729]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 115633729; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='115633729']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span><span><script>$(function() { new Works.PaperRankView({ workId: 115633729, 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" } } $('.js-work-strip[data-work-id=115633729]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":115633729,"title":"Some applications of extended calculus to non-Newtonian flow in pipes","translated_title":"","metadata":{"abstract":"Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work, two novel and compact methods are presented as an alternative to the fractional calculation options. To test the feasibility of proposed methods, three classical fluid mechanic problems are studied: the flow through circular pipe, parallel plates and annulus, by modifying the constitutive equations into their fractional equivalent. On the other hand, a new weighted non-Newtonian derivative is proposed to extend the possibilities to model fluid viscosity based on the influence of nonadjacent layers, using the pipe flow as an example. Results show that proposed fractional models can describe shear-thinning and shear-thickening behaviors depending on the fractional order of the derivative, while the weighted derivative allows to expand the way viscosity is modeled, demonstrating the suitability of these approaches to describe physical problems.","publisher":"Springer Science+Business Media","publication_date":{"day":16,"month":1,"year":2021,"errors":{}},"publication_name":"Journal of The Brazilian Society of Mechanical Sciences and Engineering"},"translated_abstract":"Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work, two novel and compact methods are presented as an alternative to the fractional calculation options. To test the feasibility of proposed methods, three classical fluid mechanic problems are studied: the flow through circular pipe, parallel plates and annulus, by modifying the constitutive equations into their fractional equivalent. On the other hand, a new weighted non-Newtonian derivative is proposed to extend the possibilities to model fluid viscosity based on the influence of nonadjacent layers, using the pipe flow as an example. Results show that proposed fractional models can describe shear-thinning and shear-thickening behaviors depending on the fractional order of the derivative, while the weighted derivative allows to expand the way viscosity is modeled, demonstrating the suitability of these approaches to describe physical problems.","internal_url":"https://www.academia.edu/115633729/Some_applications_of_extended_calculus_to_non_Newtonian_flow_in_pipes","translated_internal_url":"","created_at":"2024-03-01T04:59:12.582-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":46747754,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Some_applications_of_extended_calculus_to_non_Newtonian_flow_in_pipes","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work, two novel and compact methods are presented as an alternative to the fractional calculation options. To test the feasibility of proposed methods, three classical fluid mechanic problems are studied: the flow through circular pipe, parallel plates and annulus, by modifying the constitutive equations into their fractional equivalent. On the other hand, a new weighted non-Newtonian derivative is proposed to extend the possibilities to model fluid viscosity based on the influence of nonadjacent layers, using the pipe flow as an example. 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