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overflow: hidden; text-overflow: ellipsis; -webkit-line-clamp: 3; -webkit-box-orient: vertical; }</style><div class="col-xs-12 clearfix"><div class="u-floatLeft"><h1 class="PageHeader-title u-m0x u-fs30">Fluid Mechanics</h1><div class="u-tcGrayDark">260,681 Followers</div><div class="u-tcGrayDark u-mt2x">Recent papers in <b>Fluid Mechanics</b></div></div></div></div></div></div><div class="TabbedNavigation"><div class="container"><div class="row"><div class="col-xs-12 clearfix"><ul class="nav u-m0x u-p0x list-inline u-displayFlex"><li class="active"><a href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Top Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Fluid_Mechanics/MostCited">Most Cited Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Fluid_Mechanics/MostDownloaded">Most Downloaded Papers</a></li><li><a href="https://www.academia.edu/Documents/in/Fluid_Mechanics/MostRecent">Newest Papers</a></li><li><a class="" href="https://www.academia.edu/People/Fluid_Mechanics">People</a></li></ul></div><style type="text/css">ul.nav{flex-direction:row}@media(max-width: 567px){ul.nav{flex-direction:column}.TabbedNavigation li{max-width:100%}.TabbedNavigation li.active{background-color:var(--background-grey, #dddde2)}.TabbedNavigation li.active:before,.TabbedNavigation li.active:after{display:none}}</style></div></div></div><div class="container"><div class="row"><div class="col-xs-12"><div class="u-displayFlex"><div class="u-flexGrow1"><div class="works"><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_35844558" data-work_id="35844558" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/35844558/Three_Dimensional_Golf_Ball_Flight">Three Dimensional Golf Ball Flight</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Abstract: The three dimensional (3D) flight of a golf ball at taking into account the Magnus effect is studied in the paper. For this purpose it is composed a system of six nonlinear differential equations. To determine the 3D... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_35844558" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Abstract:  The three dimensional (3D) flight of a golf ball at taking into account the Magnus effect is studied in the paper. For this purpose it is composed a system of six nonlinear differential equations. To determine the 3D orientation of the ball the rotations around all three axes are given by the so-called Cardan angles instead of classical Euler ones. The high nonlinear system differential equations are solved numerically by a special program created in the MatLab-Simulink environment. It is founded the laws of motion, velocities and accelerations on all six coordinates, as well as the projections of trajectory on the three coordinate planes. The presented analytical base and numerical results in the paper increasing and expanding the knowledge in the theory of general motion of spherical solid and leads to new more extensive research in this complicated area.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/35844558" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d91f01fe5af66a74d713c41b3500dc50" rel="nofollow" data-download="{"attachment_id":55723176,"asset_id":35844558,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/55723176/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9378185" href="https://uctm.academia.edu/JulianaJavorova">Juliana Javorova</a><script data-card-contents-for-user="9378185" type="text/json">{"id":9378185,"first_name":"Juliana","last_name":"Javorova","domain_name":"uctm","page_name":"JulianaJavorova","display_name":"Juliana Javorova","profile_url":"https://uctm.academia.edu/JulianaJavorova?f_ri=2435","photo":"https://0.academia-photos.com/9378185/2994060/3574264/s65_juliana.javorova.jpg"}</script></span></span></li><li class="js-paper-rank-work_35844558 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="35844558"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 35844558, container: ".js-paper-rank-work_35844558", }); 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$(".js-view-count[data-work-id=35844558]").text(description); $(".js-view-count-work_35844558").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_35844558").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="35844558"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="512" href="https://www.academia.edu/Documents/in/Mechanics">Mechanics</a>, <script data-card-contents-for-ri="512" type="text/json">{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="10875" href="https://www.academia.edu/Documents/in/Aerodynamics">Aerodynamics</a>, <script data-card-contents-for-ri="10875" type="text/json">{"id":10875,"name":"Aerodynamics","url":"https://www.academia.edu/Documents/in/Aerodynamics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="49905" href="https://www.academia.edu/Documents/in/Sport">Sport</a><script data-card-contents-for-ri="49905" type="text/json">{"id":49905,"name":"Sport","url":"https://www.academia.edu/Documents/in/Sport?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=35844558]'), work: {"id":35844558,"title":"Three Dimensional Golf Ball Flight","created_at":"2018-02-05T11:47:00.840-08:00","url":"https://www.academia.edu/35844558/Three_Dimensional_Golf_Ball_Flight?f_ri=2435","dom_id":"work_35844558","summary":"\nAbstract: The three dimensional (3D) flight of a golf ball at taking into account the Magnus effect is studied in the paper. For this purpose it is composed a system of six nonlinear differential equations. To determine the 3D orientation of the ball the rotations around all three axes are given by the so-called Cardan angles instead of classical Euler ones. The high nonlinear system differential equations are solved numerically by a special program created in the MatLab-Simulink environment. It is founded the laws of motion, velocities and accelerations on all six coordinates, as well as the projections of trajectory on the three coordinate planes. The presented analytical base and numerical results in the paper increasing and expanding the knowledge in the theory of general motion of spherical solid and leads to new more extensive research in this complicated area.\n","downloadable_attachments":[{"id":55723176,"asset_id":35844558,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9378185,"first_name":"Juliana","last_name":"Javorova","domain_name":"uctm","page_name":"JulianaJavorova","display_name":"Juliana Javorova","profile_url":"https://uctm.academia.edu/JulianaJavorova?f_ri=2435","photo":"https://0.academia-photos.com/9378185/2994060/3574264/s65_juliana.javorova.jpg"}],"research_interests":[{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":10875,"name":"Aerodynamics","url":"https://www.academia.edu/Documents/in/Aerodynamics?f_ri=2435","nofollow":false},{"id":49905,"name":"Sport","url":"https://www.academia.edu/Documents/in/Sport?f_ri=2435","nofollow":false},{"id":95228,"name":"Physics, Geometry and Kinematics of the Golf Swing","url":"https://www.academia.edu/Documents/in/Physics_Geometry_and_Kinematics_of_the_Golf_Swing?f_ri=2435"},{"id":156173,"name":"Golf","url":"https://www.academia.edu/Documents/in/Golf?f_ri=2435"},{"id":300330,"name":"Matlab \u0026 Simulink programming","url":"https://www.academia.edu/Documents/in/Matlab_and_Simulink_programming?f_ri=2435"},{"id":897837,"name":"Matematical Modelling","url":"https://www.academia.edu/Documents/in/Matematical_Modelling?f_ri=2435"},{"id":1211728,"name":"Sports Science","url":"https://www.academia.edu/Documents/in/Sports_Science-1?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_7808334" data-work_id="7808334" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/7808334/Numerical_Methods_for_Direct_Numerical_Simulation_and_Stability_Analysis">Numerical Methods for Direct Numerical Simulation and Stability Analysis</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/7808334" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="afcf44d51f13575fdf707e65b9d82870" rel="nofollow" data-download="{"attachment_id":34313335,"asset_id":7808334,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34313335/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="26508" href="https://upm-es.academia.edu/EstebanFerrer">Esteban Ferrer</a><script data-card-contents-for-user="26508" type="text/json">{"id":26508,"first_name":"Esteban","last_name":"Ferrer","domain_name":"upm-es","page_name":"EstebanFerrer","display_name":"Esteban Ferrer","profile_url":"https://upm-es.academia.edu/EstebanFerrer?f_ri=2435","photo":"https://0.academia-photos.com/26508/8637/8202/s65_esteban.ferrer.jpeg"}</script></span></span></li><li class="js-paper-rank-work_7808334 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="7808334"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 7808334, container: ".js-paper-rank-work_7808334", }); 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$(".js-view-count[data-work-id=7808334]").text(description); $(".js-view-count-work_7808334").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_7808334").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="7808334"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">6</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="4371" href="https://www.academia.edu/Documents/in/Spectral_Methods">Spectral Methods</a>, <script data-card-contents-for-ri="4371" type="text/json">{"id":4371,"name":"Spectral Methods","url":"https://www.academia.edu/Documents/in/Spectral_Methods?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="4373" href="https://www.academia.edu/Documents/in/Computational_Fluid_Mechanics">Computational Fluid Mechanics</a>, <script data-card-contents-for-ri="4373" type="text/json">{"id":4373,"name":"Computational Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="8736" href="https://www.academia.edu/Documents/in/Discontinuous_Galerkin_Methods">Discontinuous Galerkin Methods</a><script data-card-contents-for-ri="8736" type="text/json">{"id":8736,"name":"Discontinuous Galerkin Methods","url":"https://www.academia.edu/Documents/in/Discontinuous_Galerkin_Methods?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=7808334]'), work: {"id":7808334,"title":"Numerical Methods for Direct Numerical Simulation and Stability Analysis","created_at":"2014-07-29T00:57:27.875-07:00","url":"https://www.academia.edu/7808334/Numerical_Methods_for_Direct_Numerical_Simulation_and_Stability_Analysis?f_ri=2435","dom_id":"work_7808334","summary":null,"downloadable_attachments":[{"id":34313335,"asset_id":7808334,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":26508,"first_name":"Esteban","last_name":"Ferrer","domain_name":"upm-es","page_name":"EstebanFerrer","display_name":"Esteban Ferrer","profile_url":"https://upm-es.academia.edu/EstebanFerrer?f_ri=2435","photo":"https://0.academia-photos.com/26508/8637/8202/s65_esteban.ferrer.jpeg"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":4371,"name":"Spectral Methods","url":"https://www.academia.edu/Documents/in/Spectral_Methods?f_ri=2435","nofollow":false},{"id":4373,"name":"Computational Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":8736,"name":"Discontinuous Galerkin Methods","url":"https://www.academia.edu/Documents/in/Discontinuous_Galerkin_Methods?f_ri=2435","nofollow":false},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics?f_ri=2435"},{"id":25600,"name":"Stability","url":"https://www.academia.edu/Documents/in/Stability?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_24481247" data-work_id="24481247" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/24481247/Design_and_Fabrication_of_a_Prototype_Submarine_Using_Archimedes_Principle">Design and Fabrication of a Prototype Submarine Using Archimedes Principle</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">—A submarine is a clandestine platform of watercraft for independent operation beneath water. In order to surpass under water she must obey some ground laws specially Archimedes principle with taking consideration of its flexible and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_24481247" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">—A submarine is a clandestine platform of watercraft for independent operation beneath water. In order to surpass under water she must obey some ground laws specially Archimedes principle with taking consideration of its flexible and economic structure and propulsion systems design. The main purpose of this research is to design and fabricate a prototype submarine to make experimentally available. The need for economic innovative design to ensure smart structure, propulsion, diving system and efficient power system has focused in the implemented prototype. The propulsion and power systems are provided by motor and battery. Depth rating comparison with other resplendent submarine makes the prototype unique in some cases. To submerge hydrostatically this research on designing basically implies Archimedes principle and buoyancy force, where negative buoyancy exerted either by increasing its own weight or decreasing its displacement of water.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/24481247" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="55c82dda64702cf21bdb047a6cbb213d" rel="nofollow" data-download="{"attachment_id":44815557,"asset_id":24481247,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/44815557/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="42561183" href="https://mq.academia.edu/SayidulMorsalin">Sayidul Morsalin</a><script data-card-contents-for-user="42561183" type="text/json">{"id":42561183,"first_name":"Sayidul","last_name":"Morsalin","domain_name":"mq","page_name":"SayidulMorsalin","display_name":"Sayidul Morsalin","profile_url":"https://mq.academia.edu/SayidulMorsalin?f_ri=2435","photo":"https://0.academia-photos.com/42561183/12458059/13864608/s65_sayidul.morsalin.png"}</script></span></span></li><li class="js-paper-rank-work_24481247 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="24481247"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 24481247, container: ".js-paper-rank-work_24481247", }); 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$(".js-view-count[data-work-id=24481247]").text(description); $(".js-view-count-work_24481247").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_24481247").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="24481247"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2738" href="https://www.academia.edu/Documents/in/Renewable_Energy">Renewable Energy</a>, <script data-card-contents-for-ri="2738" type="text/json">{"id":2738,"name":"Renewable Energy","url":"https://www.academia.edu/Documents/in/Renewable_Energy?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="361102" href="https://www.academia.edu/Documents/in/Submarines">Submarines</a><script data-card-contents-for-ri="361102" type="text/json">{"id":361102,"name":"Submarines","url":"https://www.academia.edu/Documents/in/Submarines?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=24481247]'), work: {"id":24481247,"title":"Design and Fabrication of a Prototype Submarine Using Archimedes Principle","created_at":"2016-04-17T03:18:28.131-07:00","url":"https://www.academia.edu/24481247/Design_and_Fabrication_of_a_Prototype_Submarine_Using_Archimedes_Principle?f_ri=2435","dom_id":"work_24481247","summary":"—A submarine is a clandestine platform of watercraft for independent operation beneath water. In order to surpass under water she must obey some ground laws specially Archimedes principle with taking consideration of its flexible and economic structure and propulsion systems design. The main purpose of this research is to design and fabricate a prototype submarine to make experimentally available. The need for economic innovative design to ensure smart structure, propulsion, diving system and efficient power system has focused in the implemented prototype. The propulsion and power systems are provided by motor and battery. Depth rating comparison with other resplendent submarine makes the prototype unique in some cases. To submerge hydrostatically this research on designing basically implies Archimedes principle and buoyancy force, where negative buoyancy exerted either by increasing its own weight or decreasing its displacement of water.","downloadable_attachments":[{"id":44815557,"asset_id":24481247,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":42561183,"first_name":"Sayidul","last_name":"Morsalin","domain_name":"mq","page_name":"SayidulMorsalin","display_name":"Sayidul Morsalin","profile_url":"https://mq.academia.edu/SayidulMorsalin?f_ri=2435","photo":"https://0.academia-photos.com/42561183/12458059/13864608/s65_sayidul.morsalin.png"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":2738,"name":"Renewable Energy","url":"https://www.academia.edu/Documents/in/Renewable_Energy?f_ri=2435","nofollow":false},{"id":361102,"name":"Submarines","url":"https://www.academia.edu/Documents/in/Submarines?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_10182303" data-work_id="10182303" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/10182303/Design_of_high_efficiency_surface_aerators">Design of high efficiency surface aerators</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The main objective of this work was the design of a high efficiency centrifugal surface aerator for fishponds. The proposed system has been designed to be used with photovoltaic panels as an energy supply. The work is presented in three... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_10182303" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The main objective of this work was the design of a high efficiency centrifugal surface aerator for fishponds. The proposed system has been designed to be used with photovoltaic panels as an energy supply. The work is presented in three papers, of which this is the first part. The objective was reached through a theoretical design of the rotor using the traditional mass transfer equations and the mechanical approach using the superficial similarities of aerators to axial flow pumps. A total of 23 different rotor configurations were tested. The configurations were defined by the type of propeller, the inlet and exit angles of the blades and the rotor's immersion percentage. Dimensional analyses was used to find the equations that describes the aerator's behavior.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/10182303" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="d16275cb165c521981d35b768d0da2d1" rel="nofollow" data-download="{"attachment_id":47492481,"asset_id":10182303,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/47492481/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="24876171" href="https://independent.academia.edu/beatrizcancino">Beatriz Cancino-Madariaga</a><script data-card-contents-for-user="24876171" type="text/json">{"id":24876171,"first_name":"Beatriz","last_name":"Cancino-Madariaga","domain_name":"independent","page_name":"beatrizcancino","display_name":"Beatriz Cancino-Madariaga","profile_url":"https://independent.academia.edu/beatrizcancino?f_ri=2435","photo":"https://0.academia-photos.com/24876171/13349878/14588303/s65_beatriz.cancino.jpg"}</script></span></span></li><li class="js-paper-rank-work_10182303 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="10182303"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 10182303, container: ".js-paper-rank-work_10182303", }); 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$(".js-view-count[data-work-id=10182303]").text(description); $(".js-view-count-work_10182303").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_10182303").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="10182303"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">13</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="55" href="https://www.academia.edu/Documents/in/Environmental_Engineering">Environmental Engineering</a>, <script data-card-contents-for-ri="55" type="text/json">{"id":55,"name":"Environmental Engineering","url":"https://www.academia.edu/Documents/in/Environmental_Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="60" href="https://www.academia.edu/Documents/in/Mechanical_Engineering">Mechanical Engineering</a>, <script data-card-contents-for-ri="60" type="text/json">{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="23848" href="https://www.academia.edu/Documents/in/Aquaculture">Aquaculture</a><script data-card-contents-for-ri="23848" type="text/json">{"id":23848,"name":"Aquaculture","url":"https://www.academia.edu/Documents/in/Aquaculture?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=10182303]'), work: {"id":10182303,"title":"Design of high efficiency surface aerators","created_at":"2015-01-15T11:59:57.598-08:00","url":"https://www.academia.edu/10182303/Design_of_high_efficiency_surface_aerators?f_ri=2435","dom_id":"work_10182303","summary":"The main objective of this work was the design of a high efficiency centrifugal surface aerator for fishponds. The proposed system has been designed to be used with photovoltaic panels as an energy supply. The work is presented in three papers, of which this is the first part. The objective was reached through a theoretical design of the rotor using the traditional mass transfer equations and the mechanical approach using the superficial similarities of aerators to axial flow pumps. A total of 23 different rotor configurations were tested. The configurations were defined by the type of propeller, the inlet and exit angles of the blades and the rotor's immersion percentage. Dimensional analyses was used to find the equations that describes the aerator's behavior.","downloadable_attachments":[{"id":47492481,"asset_id":10182303,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":24876171,"first_name":"Beatriz","last_name":"Cancino-Madariaga","domain_name":"independent","page_name":"beatrizcancino","display_name":"Beatriz Cancino-Madariaga","profile_url":"https://independent.academia.edu/beatrizcancino?f_ri=2435","photo":"https://0.academia-photos.com/24876171/13349878/14588303/s65_beatriz.cancino.jpg"}],"research_interests":[{"id":55,"name":"Environmental Engineering","url":"https://www.academia.edu/Documents/in/Environmental_Engineering?f_ri=2435","nofollow":false},{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":23848,"name":"Aquaculture","url":"https://www.academia.edu/Documents/in/Aquaculture?f_ri=2435","nofollow":false},{"id":59579,"name":"Dimensional Analysis","url":"https://www.academia.edu/Documents/in/Dimensional_Analysis?f_ri=2435"},{"id":113047,"name":"Mechanical Engineering Design","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering_Design?f_ri=2435"},{"id":151070,"name":"Pisciculture","url":"https://www.academia.edu/Documents/in/Pisciculture?f_ri=2435"},{"id":170652,"name":"Fisheries Sciences","url":"https://www.academia.edu/Documents/in/Fisheries_Sciences?f_ri=2435"},{"id":471104,"name":"Maritime Engineering","url":"https://www.academia.edu/Documents/in/Maritime_Engineering?f_ri=2435"},{"id":715163,"name":"Rotor Design","url":"https://www.academia.edu/Documents/in/Rotor_Design?f_ri=2435"},{"id":842772,"name":"Aquacultural Engineering","url":"https://www.academia.edu/Documents/in/Aquacultural_Engineering?f_ri=2435"},{"id":1966894,"name":"Aerator","url":"https://www.academia.edu/Documents/in/Aerator?f_ri=2435"},{"id":2343092,"name":"Fishponds","url":"https://www.academia.edu/Documents/in/Fishponds?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_42167058" data-work_id="42167058" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/42167058/Instructor_Solutions_Manual_Fox_and_McDonalds_Introduction_to_Fluid_Mechanics_10th_Edition_by_John_W_Mitchell">Instructor Solutions Manual Fox and McDonald's Introduction to Fluid Mechanics 10th Edition by John W. Mitchell</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">Download Instructor Solutions Manual Fox and McDonald's Introduction to Fluid Mechanics 10th Edition by John W. 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Mitchell","created_at":"2020-03-08T05:28:35.574-07:00","url":"https://www.academia.edu/42167058/Instructor_Solutions_Manual_Fox_and_McDonalds_Introduction_to_Fluid_Mechanics_10th_Edition_by_John_W_Mitchell?f_ri=2435","dom_id":"work_42167058","summary":"Download Instructor Solutions Manual Fox and McDonald's Introduction to Fluid Mechanics 10th Edition by John W. Mitchell ","downloadable_attachments":[{"id":62307343,"asset_id":42167058,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":119623972,"first_name":"Mark","last_name":"Rain","domain_name":"berkeley","page_name":"MarkRain","display_name":"Mark Rain","profile_url":"https://berkeley.academia.edu/MarkRain?f_ri=2435","photo":"https://0.academia-photos.com/119623972/30805552/28506659/s65_mark.rain.jpeg"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_73611460" data-work_id="73611460" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/73611460/Reynolds_number_dependence_of_the_small_scale_structure_of_grid_turbulence">Reynolds number dependence of the small-scale structure of grid turbulence</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The small-scale structure of grid turbulence is studied primarily using data obtained with a transverse vorticity (ω3) probe for values of the Taylor-microscale Reynolds number Rλ in the range 27–100. The measured spectra of the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_73611460" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The small-scale structure of grid turbulence is studied primarily using data obtained with a transverse vorticity (ω3) probe for values of the Taylor-microscale Reynolds number Rλ in the range 27–100. The measured spectra of the transverse vorticity component agree within ±10% with those calculated using the isotropic relation over nearly all wavenumbers. Scaling-range exponents of transverse velocity increments are appreciably smaller than exponents of longitudinal velocity increments. Only a small fraction of this difference can be attributed to the difference in intermittency between the locally averaged energy dissipation rate and enstrophy fluctuations. The anisotropy of turbulence structures in the scaling range, which reflects the small values of Rλ, is more likely to account for most of the difference. All four fourth-order rotational invariants Iα (α = 1 to 4) proposed by Siggia (1981) were evaluated. For any particular value of α, the magnitude of the ratio Iα / I1 is appr...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/73611460" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f87fb4d31828110a7ae32f5009567857" rel="nofollow" data-download="{"attachment_id":82066075,"asset_id":73611460,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82066075/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="3183343" href="https://uwa.academia.edu/TongmingZhou">Tongming Zhou</a><script data-card-contents-for-user="3183343" type="text/json">{"id":3183343,"first_name":"Tongming","last_name":"Zhou","domain_name":"uwa","page_name":"TongmingZhou","display_name":"Tongming Zhou","profile_url":"https://uwa.academia.edu/TongmingZhou?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_73611460 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="73611460"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 73611460, container: ".js-paper-rank-work_73611460", }); 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The measured spectra of the transverse vorticity component agree within ±10% with those calculated using the isotropic relation over nearly all wavenumbers. Scaling-range exponents of transverse velocity increments are appreciably smaller than exponents of longitudinal velocity increments. Only a small fraction of this difference can be attributed to the difference in intermittency between the locally averaged energy dissipation rate and enstrophy fluctuations. The anisotropy of turbulence structures in the scaling range, which reflects the small values of Rλ, is more likely to account for most of the difference. All four fourth-order rotational invariants Iα (α = 1 to 4) proposed by Siggia (1981) were evaluated. For any particular value of α, the magnitude of the ratio Iα / I1 is appr...","downloadable_attachments":[{"id":82066075,"asset_id":73611460,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":3183343,"first_name":"Tongming","last_name":"Zhou","domain_name":"uwa","page_name":"TongmingZhou","display_name":"Tongming Zhou","profile_url":"https://uwa.academia.edu/TongmingZhou?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":113890,"name":"Power Law","url":"https://www.academia.edu/Documents/in/Power_Law?f_ri=2435"},{"id":1008960,"name":"Reynolds Number","url":"https://www.academia.edu/Documents/in/Reynolds_Number?f_ri=2435"},{"id":1295832,"name":"Energy Dissipation Rate","url":"https://www.academia.edu/Documents/in/Energy_Dissipation_Rate?f_ri=2435"},{"id":1432635,"name":"Rotation Invariance","url":"https://www.academia.edu/Documents/in/Rotation_Invariance?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_66479604" data-work_id="66479604" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/66479604/Fluid_mixing_and_local_mass_transfer_characteristics_in_a_grooved_channel_for_self_sustained_oscillatory_flow">Fluid mixing and local mass transfer characteristics in a grooved channel for self-sustained oscillatory flow</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Flow patterns and mass transfer rates in a periodically grooved channel were studied in the transitional flow regime. Self-sustained flow oscillations occur at a low Reynolds number. Primary flow instability arises from... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_66479604" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Flow patterns and mass transfer rates in a periodically grooved channel were studied in the transitional flow regime. Self-sustained flow oscillations occur at a low Reynolds number. Primary flow instability arises from TollmienSchlichting waves triggered by a shear layer above the groove, and thus there is a fluid exchange between channel and groove parts through the shear layer. It is found that a further increase of the Reynolds number produces secondary instability causing a three-dimensional flow at the bottom of the groove. Mass transfer was performed by the electrochemical method. The transport rate at the rib increases significantly after the primary instability, but the increment of mass transfer at the bottom of the groove is small. 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Self-sustained flow oscillations occur at a low Reynolds number. Primary flow instability arises from TollmienSchlichting waves triggered by a shear layer above the groove, and thus there is a fluid exchange between channel and groove parts through the shear layer. It is found that a further increase of the Reynolds number produces secondary instability causing a three-dimensional flow at the bottom of the groove. Mass transfer was performed by the electrochemical method. The transport rate at the rib increases significantly after the primary instability, but the increment of mass transfer at the bottom of the groove is small. The secondary instability leads to marked transport enhancement at the bottom of the groove. ©1998","downloadable_attachments":[{"id":77655104,"asset_id":66479604,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":125966481,"first_name":"Mechanical","last_name":"Engineering","domain_name":"independent","page_name":"MechanicalEngineering58","display_name":"Mechanical Engineering","profile_url":"https://independent.academia.edu/MechanicalEngineering58?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=2435","nofollow":false},{"id":2024,"name":"Mass Transfer","url":"https://www.academia.edu/Documents/in/Mass_Transfer?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":55704,"name":"Transition","url":"https://www.academia.edu/Documents/in/Transition?f_ri=2435","nofollow":false},{"id":554780,"name":"Interdisciplinary Engineering","url":"https://www.academia.edu/Documents/in/Interdisciplinary_Engineering?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_8097468" data-work_id="8097468" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/8097468/Brochure_More_information_from">Brochure More information from</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/8097468" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="96387bb571e98b7a20d4fdfe86abeef3" rel="nofollow" data-download="{"attachment_id":34546611,"asset_id":8097468,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34546611/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="15686596" href="https://dtu.academia.edu/StefanToft">Stefan Toft</a><script data-card-contents-for-user="15686596" type="text/json">{"id":15686596,"first_name":"Stefan","last_name":"Toft","domain_name":"dtu","page_name":"StefanToft","display_name":"Stefan Toft","profile_url":"https://dtu.academia.edu/StefanToft?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_8097468 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="8097468"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 8097468, container: ".js-paper-rank-work_8097468", }); 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The preferred scaling is \[... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_73760379" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The entrainment experiments of Kato & Phillips (1969) and Kantha, Phillips & Azad (1977) (hereafter KP and KPA) are analysed to demonstrate a more general and effective scaling of the entrainment observations. The preferred scaling is \[ V^{-1} dh/dt = E(R_v), \] where h is the mixed-layer depth, V is the mean velocity of the mixed layer, Rv = B/V2 and B is the total mixed-layer buoyancy. This scaling effectively collapses entrainment data taken at various h/L, where L is the tank width, and in cases in which the interior is density stratified (KP) or homogeneous (KPA). The entrainment law E(Rv) is computed from the KP and KPA observations using the conservation equations for mean momentum and buoyancy. A side-wall drag term is included in the momentum conservation equation. In the range 0·5 &lt; Rv &lt; 1·0, which includes nearly all of the KP, KPA data, E ≃ 5 × 10−4R−4v. This is very similar to the entrainment law followed by a surface half-jet (Ellison & Turner 1959) and by the w...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/73760379" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f37f747bbede7380727cdadb57a218bd" rel="nofollow" data-download="{"attachment_id":82155541,"asset_id":73760379,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82155541/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="32593447" href="https://independent.academia.edu/JamesPrice20">James Price</a><script data-card-contents-for-user="32593447" type="text/json">{"id":32593447,"first_name":"James","last_name":"Price","domain_name":"independent","page_name":"JamesPrice20","display_name":"James Price","profile_url":"https://independent.academia.edu/JamesPrice20?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_73760379 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="73760379"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 73760379, container: ".js-paper-rank-work_73760379", }); 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$(".js-view-count[data-work-id=73760379]").text(description); $(".js-view-count-work_73760379").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_73760379").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="73760379"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="498" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=73760379]'), work: {"id":73760379,"title":"On the scaling of stress-driven entrainment experiments","created_at":"2022-03-14T10:55:27.891-07:00","url":"https://www.academia.edu/73760379/On_the_scaling_of_stress_driven_entrainment_experiments?f_ri=2435","dom_id":"work_73760379","summary":"The entrainment experiments of Kato \u0026 Phillips (1969) and Kantha, Phillips \u0026 Azad (1977) (hereafter KP and KPA) are analysed to demonstrate a more general and effective scaling of the entrainment observations. The preferred scaling is \\[ V^{-1} dh/dt = E(R_v), \\] where h is the mixed-layer depth, V is the mean velocity of the mixed layer, Rv = B/V2 and B is the total mixed-layer buoyancy. This scaling effectively collapses entrainment data taken at various h/L, where L is the tank width, and in cases in which the interior is density stratified (KP) or homogeneous (KPA). The entrainment law E(Rv) is computed from the KP and KPA observations using the conservation equations for mean momentum and buoyancy. A side-wall drag term is included in the momentum conservation equation. In the range 0·5 \u0026lt; Rv \u0026lt; 1·0, which includes nearly all of the KP, KPA data, E ≃ 5 × 10−4R−4v. This is very similar to the entrainment law followed by a surface half-jet (Ellison \u0026 Turner 1959) and by the w...","downloadable_attachments":[{"id":82155541,"asset_id":73760379,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":32593447,"first_name":"James","last_name":"Price","domain_name":"independent","page_name":"JamesPrice20","display_name":"James Price","profile_url":"https://independent.academia.edu/JamesPrice20?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_69791185" data-work_id="69791185" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/69791185/The_interfacial_stability_of_a_ferromagnetic_fluid">The interfacial stability of a ferromagnetic fluid</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A normal magnetic field has a destabilizing influence on a flat interface between a magnetizable and a non-magnetic fluid. Stabilizing influences are provided by interfacial tension and gravity if the lighter fluid is uppermost. The... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_69791185" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A normal magnetic field has a destabilizing influence on a flat interface between a magnetizable and a non-magnetic fluid. Stabilizing influences are provided by interfacial tension and gravity if the lighter fluid is uppermost. The critical level of magnetization for onset of the instability is derived for a. fluid having a non-linear relation between magnetization and magnetic induction. Experiments using a magnetizable fluid, which contains a colloidal suspension of ferromagnetic particles, at interfaces with air and water are made and cover a wide range of density differences. Measurements confirm the prediction for critical magnetization, and it was found that, after onset, the interface took a new form in which the elevation had a regular hexagonal pattern. The pattern was highly stable, and the measured spacing of peaks agreed reasonably with that derived from the critical wave-number for the instability of a flat interface.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/69791185" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="dfbbdf5a2fa3f9dc84ece7618c3364cc" rel="nofollow" data-download="{"attachment_id":79751295,"asset_id":69791185,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/79751295/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="154617710" href="https://independent.academia.edu/RRosensweig">Ronald Rosensweig</a><script data-card-contents-for-user="154617710" type="text/json">{"id":154617710,"first_name":"Ronald","last_name":"Rosensweig","domain_name":"independent","page_name":"RRosensweig","display_name":"Ronald Rosensweig","profile_url":"https://independent.academia.edu/RRosensweig?f_ri=2435","photo":"https://0.academia-photos.com/154617710/49744715/37730065/s65_ronald.rosensweig.jpg"}</script></span></span></li><li class="js-paper-rank-work_69791185 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="69791185"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 69791185, container: ".js-paper-rank-work_69791185", }); });</script></li><li class="js-percentile-work_69791185 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 69791185; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_69791185"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_69791185 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="69791185"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 69791185; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=69791185]").text(description); $(".js-view-count-work_69791185").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_69791185").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="69791185"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="498" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=69791185]'), work: {"id":69791185,"title":"The interfacial stability of a ferromagnetic fluid","created_at":"2022-01-28T07:16:17.596-08:00","url":"https://www.academia.edu/69791185/The_interfacial_stability_of_a_ferromagnetic_fluid?f_ri=2435","dom_id":"work_69791185","summary":"A normal magnetic field has a destabilizing influence on a flat interface between a magnetizable and a non-magnetic fluid. Stabilizing influences are provided by interfacial tension and gravity if the lighter fluid is uppermost. The critical level of magnetization for onset of the instability is derived for a. fluid having a non-linear relation between magnetization and magnetic induction. Experiments using a magnetizable fluid, which contains a colloidal suspension of ferromagnetic particles, at interfaces with air and water are made and cover a wide range of density differences. Measurements confirm the prediction for critical magnetization, and it was found that, after onset, the interface took a new form in which the elevation had a regular hexagonal pattern. The pattern was highly stable, and the measured spacing of peaks agreed reasonably with that derived from the critical wave-number for the instability of a flat interface.","downloadable_attachments":[{"id":79751295,"asset_id":69791185,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":154617710,"first_name":"Ronald","last_name":"Rosensweig","domain_name":"independent","page_name":"RRosensweig","display_name":"Ronald Rosensweig","profile_url":"https://independent.academia.edu/RRosensweig?f_ri=2435","photo":"https://0.academia-photos.com/154617710/49744715/37730065/s65_ronald.rosensweig.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_33831421" data-work_id="33831421" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/33831421/Research_activities_relevant_to_the_application_of_LEU_at_the_HOR">Research activities relevant to the application of LEU at the HOR</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/33831421" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e7628660d27f28babd4ccb6071e6c18d" rel="nofollow" data-download="{"attachment_id":53814651,"asset_id":33831421,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/53814651/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="66281349" href="https://independent.academia.edu/HugoVanDam">Hugo Van Dam</a><script data-card-contents-for-user="66281349" type="text/json">{"id":66281349,"first_name":"Hugo Van","last_name":"Dam","domain_name":"independent","page_name":"HugoVanDam","display_name":"Hugo Van Dam","profile_url":"https://independent.academia.edu/HugoVanDam?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_33831421 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="33831421"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 33831421, container: ".js-paper-rank-work_33831421", }); });</script></li><li class="js-percentile-work_33831421 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 33831421; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_33831421"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_33831421 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="33831421"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 33831421; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=33831421]").text(description); $(".js-view-count-work_33831421").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_33831421").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="33831421"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">10</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="512" href="https://www.academia.edu/Documents/in/Mechanics">Mechanics</a>, <script data-card-contents-for-ri="512" type="text/json">{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2550" href="https://www.academia.edu/Documents/in/Hydraulics">Hydraulics</a>, <script data-card-contents-for-ri="2550" type="text/json">{"id":2550,"name":"Hydraulics","url":"https://www.academia.edu/Documents/in/Hydraulics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="8910" href="https://www.academia.edu/Documents/in/Evaluation">Evaluation</a><script data-card-contents-for-ri="8910" type="text/json">{"id":8910,"name":"Evaluation","url":"https://www.academia.edu/Documents/in/Evaluation?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=33831421]'), work: {"id":33831421,"title":"Research activities relevant to the application of LEU at the HOR","created_at":"2017-07-10T03:34:26.633-07:00","url":"https://www.academia.edu/33831421/Research_activities_relevant_to_the_application_of_LEU_at_the_HOR?f_ri=2435","dom_id":"work_33831421","summary":null,"downloadable_attachments":[{"id":53814651,"asset_id":33831421,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":66281349,"first_name":"Hugo Van","last_name":"Dam","domain_name":"independent","page_name":"HugoVanDam","display_name":"Hugo Van Dam","profile_url":"https://independent.academia.edu/HugoVanDam?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":2550,"name":"Hydraulics","url":"https://www.academia.edu/Documents/in/Hydraulics?f_ri=2435","nofollow":false},{"id":8910,"name":"Evaluation","url":"https://www.academia.edu/Documents/in/Evaluation?f_ri=2435","nofollow":false},{"id":37656,"name":"Thermal Hydraulics","url":"https://www.academia.edu/Documents/in/Thermal_Hydraulics?f_ri=2435"},{"id":48999,"name":"Information","url":"https://www.academia.edu/Documents/in/Information?f_ri=2435"},{"id":91015,"name":"Elements","url":"https://www.academia.edu/Documents/in/Elements?f_ri=2435"},{"id":108782,"name":"Data","url":"https://www.academia.edu/Documents/in/Data?f_ri=2435"},{"id":266485,"name":"Temperature measurement","url":"https://www.academia.edu/Documents/in/Temperature_measurement?f_ri=2435"},{"id":1750189,"name":"Measuring instruments","url":"https://www.academia.edu/Documents/in/Measuring_instruments?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_5600036" data-work_id="5600036" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/5600036/Shear_induced_radial_segregation_in_bidisperse_suspensions">Shear-induced radial segregation in bidisperse suspensions</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In this paper, we discuss experimental evidence for radial particle segregation in a parallel-plate geometry. The motion of coloured tracer particles of a size different from the bulk suspension is followed as a function of time. The... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_5600036" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In this paper, we discuss experimental evidence for radial particle segregation in a parallel-plate geometry. The motion of coloured tracer particles of a size different from the bulk suspension is followed as a function of time. The tracer particles are seen to experience a constant drift velocity independent of their radial position. This is in addition to the random-walk motion arising from their interactions with other particles in the suspension. These observations are found to be consistent with the shear-induced migration model of Leighton & Acrivos (1987 a,b) as well as the tracer diffusivity measurements of Phan & Leighton (1996). In the experiments of Abbott et al. (1991), it was observed that larger particles migrated radially outward to regions of lower shear stress in a wide-gap Couette device. In our experiments large tracers were also observed to migrate radially outward. In this case, however, the radial migration resulted in migration to regions of higher shear stress, contrary to expectations. This apparent discrepancy is explained in terms of a model that incorporates both the stress-induced migration of earlier studies and a curvature-induced migration flux (which in turn is shear-induced) as an opposing effect.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/5600036" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="133a000f5e2dd150fcc5f7e50199aa36" rel="nofollow" data-download="{"attachment_id":49223421,"asset_id":5600036,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/49223421/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="7999518" href="https://independent.academia.edu/GokulKrishnan13">Gokul Krishnan</a><script data-card-contents-for-user="7999518" type="text/json">{"id":7999518,"first_name":"Gokul","last_name":"Krishnan","domain_name":"independent","page_name":"GokulKrishnan13","display_name":"Gokul Krishnan","profile_url":"https://independent.academia.edu/GokulKrishnan13?f_ri=2435","photo":"https://0.academia-photos.com/7999518/2796834/3261285/s65_gokul.krishnan.jpg"}</script></span></span></li><li class="js-paper-rank-work_5600036 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="5600036"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 5600036, container: ".js-paper-rank-work_5600036", }); });</script></li><li class="js-percentile-work_5600036 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 5600036; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_5600036"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_5600036 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="5600036"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 5600036; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=5600036]").text(description); $(".js-view-count-work_5600036").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_5600036").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="5600036"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="53344" href="https://www.academia.edu/Documents/in/Fluid">Fluid</a>, <script data-card-contents-for-ri="53344" type="text/json">{"id":53344,"name":"Fluid","url":"https://www.academia.edu/Documents/in/Fluid?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=5600036]'), work: {"id":5600036,"title":"Shear-induced radial segregation in bidisperse suspensions","created_at":"2014-01-04T01:07:38.485-08:00","url":"https://www.academia.edu/5600036/Shear_induced_radial_segregation_in_bidisperse_suspensions?f_ri=2435","dom_id":"work_5600036","summary":"In this paper, we discuss experimental evidence for radial particle segregation in a parallel-plate geometry. The motion of coloured tracer particles of a size different from the bulk suspension is followed as a function of time. The tracer particles are seen to experience a constant drift velocity independent of their radial position. This is in addition to the random-walk motion arising from their interactions with other particles in the suspension. These observations are found to be consistent with the shear-induced migration model of Leighton \u0026 Acrivos (1987 a,b) as well as the tracer diffusivity measurements of Phan \u0026 Leighton (1996). In the experiments of Abbott et al. (1991), it was observed that larger particles migrated radially outward to regions of lower shear stress in a wide-gap Couette device. In our experiments large tracers were also observed to migrate radially outward. In this case, however, the radial migration resulted in migration to regions of higher shear stress, contrary to expectations. This apparent discrepancy is explained in terms of a model that incorporates both the stress-induced migration of earlier studies and a curvature-induced migration flux (which in turn is shear-induced) as an opposing effect.","downloadable_attachments":[{"id":49223421,"asset_id":5600036,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":7999518,"first_name":"Gokul","last_name":"Krishnan","domain_name":"independent","page_name":"GokulKrishnan13","display_name":"Gokul Krishnan","profile_url":"https://independent.academia.edu/GokulKrishnan13?f_ri=2435","photo":"https://0.academia-photos.com/7999518/2796834/3261285/s65_gokul.krishnan.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":53344,"name":"Fluid","url":"https://www.academia.edu/Documents/in/Fluid?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":188736,"name":"Shear Flow","url":"https://www.academia.edu/Documents/in/Shear_Flow?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_6166641" data-work_id="6166641" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/6166641/Parametric_instability_of_the_interface_between_two_fluids">Parametric instability of the interface between two fluids</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The flat interface between two fluids in a vertically vibrating vessel may be parametrically excited, leading to the generation of standing waves. The equations constituting the stability problem for the interface of two viscous fluids... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_6166641" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The flat interface between two fluids in a vertically vibrating vessel may be parametrically excited, leading to the generation of standing waves. The equations constituting the stability problem for the interface of two viscous fluids subjected to sinusoidal forcing are derived and a Floquet analysis is presented. The hydrodynamic system in the presence of viscosity cannot be reduced to a system of Mathieu equations with linear damping. For a given driving frequency, the instability occurs only for certain combinations of the wavelength and driving amplitude, leading to tongue-like stability zones. The viscosity has a qualitative effect on the wavelength at onset: at small viscosities, the wavelcngth decreases with increasing viscosity, while it increases for higher viscosities. The stability threshold is in good agreement with experimental results. Based on the analysis, a method for the measurement of the interfacial tension, and the sum of densities and dynamic viscosities of two phases of a fluid near the liquid-vapour critical point is proposed.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/6166641" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="108c1610b2156926db4d0b0430c14024" rel="nofollow" data-download="{"attachment_id":48988566,"asset_id":6166641,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/48988566/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9384179" href="https://andrews.academia.edu/KrishnaKumar">Krishna Kumar</a><script data-card-contents-for-user="9384179" type="text/json">{"id":9384179,"first_name":"Krishna","last_name":"Kumar","domain_name":"andrews","page_name":"KrishnaKumar","display_name":"Krishna Kumar","profile_url":"https://andrews.academia.edu/KrishnaKumar?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_6166641 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="6166641"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 6166641, container: ".js-paper-rank-work_6166641", }); });</script></li><li class="js-percentile-work_6166641 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 6166641; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_6166641"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_6166641 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="6166641"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 6166641; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); 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The equations constituting the stability problem for the interface of two viscous fluids subjected to sinusoidal forcing are derived and a Floquet analysis is presented. The hydrodynamic system in the presence of viscosity cannot be reduced to a system of Mathieu equations with linear damping. For a given driving frequency, the instability occurs only for certain combinations of the wavelength and driving amplitude, leading to tongue-like stability zones. The viscosity has a qualitative effect on the wavelength at onset: at small viscosities, the wavelcngth decreases with increasing viscosity, while it increases for higher viscosities. The stability threshold is in good agreement with experimental results. Based on the analysis, a method for the measurement of the interfacial tension, and the sum of densities and dynamic viscosities of two phases of a fluid near the liquid-vapour critical point is proposed.","downloadable_attachments":[{"id":48988566,"asset_id":6166641,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9384179,"first_name":"Krishna","last_name":"Kumar","domain_name":"andrews","page_name":"KrishnaKumar","display_name":"Krishna Kumar","profile_url":"https://andrews.academia.edu/KrishnaKumar?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false},{"id":62,"name":"Thermal Engineering","url":"https://www.academia.edu/Documents/in/Thermal_Engineering?f_ri=2435","nofollow":false},{"id":505,"name":"Condensed Matter Physics","url":"https://www.academia.edu/Documents/in/Condensed_Matter_Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435"},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=2435"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"},{"id":94423,"name":"Mechanical Vibrations","url":"https://www.academia.edu/Documents/in/Mechanical_Vibrations?f_ri=2435"},{"id":174781,"name":"Oscillations","url":"https://www.academia.edu/Documents/in/Oscillations?f_ri=2435"},{"id":244371,"name":"Parametric excitation","url":"https://www.academia.edu/Documents/in/Parametric_excitation?f_ri=2435"},{"id":510090,"name":"Magnetism and Magnetic Materials","url":"https://www.academia.edu/Documents/in/Magnetism_and_Magnetic_Materials?f_ri=2435"},{"id":1882729,"name":"Magnetic Fluid","url":"https://www.academia.edu/Documents/in/Magnetic_Fluid?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_22010311" data-work_id="22010311" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/22010311/Bifurcation_diagrams_of_axisymmetric_liquid_bridges_of_arbitrary_volume_in_electric_and_gravitational_axial_fields">Bifurcation diagrams of axisymmetric liquid bridges of arbitrary volume in electric and gravitational axial fields</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Finite-amplitude bifurcation diagrams of axisymmetric liquid bridges anchored between two plane parallel electrodes subjected to a potential difference and in the presence of an axial gravity field are found by solving simultaneously the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_22010311" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Finite-amplitude bifurcation diagrams of axisymmetric liquid bridges anchored between two plane parallel electrodes subjected to a potential difference and in the presence of an axial gravity field are found by solving simultaneously the Laplace equation for the electric potential and the Young-Laplace equation for the interface by means of the Galerkinlfinite element method. Results show the strong stabilizing effect of the electric field, which plays a role somewhat similar to the inverse of the slenderness. It is also shown that the electric field may determine whether the breaking of the liquid bridge leads to two equal or unequal drops. Finally, the sensitivity of liquid bridges to an axial gravity in the presence of the electric field is studied.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/22010311" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="5601256488a14ad769e2b9d3a9a2ee2c" rel="nofollow" data-download="{"attachment_id":42708883,"asset_id":22010311,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/42708883/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="43274061" href="https://independent.academia.edu/AntonioRamos66">Antonio Ramos</a><script data-card-contents-for-user="43274061" type="text/json">{"id":43274061,"first_name":"Antonio","last_name":"Ramos","domain_name":"independent","page_name":"AntonioRamos66","display_name":"Antonio Ramos","profile_url":"https://independent.academia.edu/AntonioRamos66?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_22010311 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="22010311"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 22010311, container: ".js-paper-rank-work_22010311", }); 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$(".js-view-count[data-work-id=22010311]").text(description); $(".js-view-count-work_22010311").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_22010311").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="22010311"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">9</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="12147" href="https://www.academia.edu/Documents/in/Finite_element_method">Finite element method</a>, <script data-card-contents-for-ri="12147" type="text/json">{"id":12147,"name":"Finite element method","url":"https://www.academia.edu/Documents/in/Finite_element_method?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=22010311]'), work: {"id":22010311,"title":"Bifurcation diagrams of axisymmetric liquid bridges of arbitrary volume in electric and gravitational axial fields","created_at":"2016-02-15T11:12:59.070-08:00","url":"https://www.academia.edu/22010311/Bifurcation_diagrams_of_axisymmetric_liquid_bridges_of_arbitrary_volume_in_electric_and_gravitational_axial_fields?f_ri=2435","dom_id":"work_22010311","summary":"Finite-amplitude bifurcation diagrams of axisymmetric liquid bridges anchored between two plane parallel electrodes subjected to a potential difference and in the presence of an axial gravity field are found by solving simultaneously the Laplace equation for the electric potential and the Young-Laplace equation for the interface by means of the Galerkinlfinite element method. Results show the strong stabilizing effect of the electric field, which plays a role somewhat similar to the inverse of the slenderness. It is also shown that the electric field may determine whether the breaking of the liquid bridge leads to two equal or unequal drops. Finally, the sensitivity of liquid bridges to an axial gravity in the presence of the electric field is studied.","downloadable_attachments":[{"id":42708883,"asset_id":22010311,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":43274061,"first_name":"Antonio","last_name":"Ramos","domain_name":"independent","page_name":"AntonioRamos66","display_name":"Antonio Ramos","profile_url":"https://independent.academia.edu/AntonioRamos66?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":12147,"name":"Finite element method","url":"https://www.academia.edu/Documents/in/Finite_element_method?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":212475,"name":"Electric Fields","url":"https://www.academia.edu/Documents/in/Electric_Fields?f_ri=2435"},{"id":788488,"name":"Galerkin Method","url":"https://www.academia.edu/Documents/in/Galerkin_Method?f_ri=2435"},{"id":1130559,"name":"Electric Field","url":"https://www.academia.edu/Documents/in/Electric_Field?f_ri=2435"},{"id":1898501,"name":"Bifurcation diagram","url":"https://www.academia.edu/Documents/in/Bifurcation_diagram?f_ri=2435"},{"id":2367503,"name":"Gravitational Fields","url":"https://www.academia.edu/Documents/in/Gravitational_Fields?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_20738908" data-work_id="20738908" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/20738908/Free_surface_flow_due_to_impulsive_motion_of_a_submerged_circular_cylinder">Free-surface flow due to impulsive motion of a submerged circular cylinder</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_20738908" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading gravitational effects for two cases: constant velocity and constant acceleration, both commencing from rest. The hydrodynamic force on the cylinder and the surface elevation are calculated and expressed in terms of bipolar coordinates. Comparisons are also made with earlier theoretical and experimental work. The theory is valid for arbitrary value of submergence depth to cylinder radius.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/20738908" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="7c008590e2af19e796da97786da64c23" rel="nofollow" data-download="{"attachment_id":41928376,"asset_id":20738908,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/41928376/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="10885424" href="https://telaviv.academia.edu/TOUVIAMILOH">TOUVIA MILOH</a><script data-card-contents-for-user="10885424" type="text/json">{"id":10885424,"first_name":"TOUVIA","last_name":"MILOH","domain_name":"telaviv","page_name":"TOUVIAMILOH","display_name":"TOUVIA MILOH","profile_url":"https://telaviv.academia.edu/TOUVIAMILOH?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_20738908 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="20738908"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 20738908, container: ".js-paper-rank-work_20738908", }); 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$(".js-view-count[data-work-id=20738908]").text(description); $(".js-view-count-work_20738908").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_20738908").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="20738908"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a>, <script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="871120" href="https://www.academia.edu/Documents/in/Circular_Cylinder">Circular Cylinder</a><script data-card-contents-for-ri="871120" type="text/json">{"id":871120,"name":"Circular Cylinder","url":"https://www.academia.edu/Documents/in/Circular_Cylinder?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=20738908]'), work: {"id":20738908,"title":"Free-surface flow due to impulsive motion of a submerged circular cylinder","created_at":"2016-01-24T21:50:45.999-08:00","url":"https://www.academia.edu/20738908/Free_surface_flow_due_to_impulsive_motion_of_a_submerged_circular_cylinder?f_ri=2435","dom_id":"work_20738908","summary":"The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading gravitational effects for two cases: constant velocity and constant acceleration, both commencing from rest. The hydrodynamic force on the cylinder and the surface elevation are calculated and expressed in terms of bipolar coordinates. Comparisons are also made with earlier theoretical and experimental work. The theory is valid for arbitrary value of submergence depth to cylinder radius.","downloadable_attachments":[{"id":41928376,"asset_id":20738908,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":10885424,"first_name":"TOUVIA","last_name":"MILOH","domain_name":"telaviv","page_name":"TOUVIAMILOH","display_name":"TOUVIA MILOH","profile_url":"https://telaviv.academia.edu/TOUVIAMILOH?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":871120,"name":"Circular Cylinder","url":"https://www.academia.edu/Documents/in/Circular_Cylinder?f_ri=2435","nofollow":false},{"id":872390,"name":"Free Surface Flow","url":"https://www.academia.edu/Documents/in/Free_Surface_Flow?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_20635953" data-work_id="20635953" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/20635953/Localization_of_flow_structures_using_norm_optimization">Localization of flow structures using-norm optimization</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Stability theory based on a variational principle and finite-time direct-adjoint optimization commonly relies on the kinetic perturbation energy density E 1 (t) = (1/V Ω ) Ω e(x, t) dΩ (where e(x, t) = |u| 2 /2) as a measure of... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_20635953" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Stability theory based on a variational principle and finite-time direct-adjoint optimization commonly relies on the kinetic perturbation energy density E 1 (t) = (1/V Ω ) Ω e(x, t) dΩ (where e(x, t) = |u| 2 /2) as a measure of disturbance size. This type of optimization typically yields optimal perturbations that are global in the fluid domain Ω of volume V Ω . This paper explores the use of p-norms in determining optimal perturbations for 'energy' growth over prescribed time intervals of length T. For p = 1 the traditional energy-based stability analysis is recovered, while for large p 1, localization of the optimal perturbations is observed which identifies confined regions, or 'hotspots', in the domain where significant energy growth can be expected. In addition, the p-norm optimization yields insight into the role and significance of various regions of the flow regarding the overall energy dynamics. As a canonical example, we choose to solve the ∞-norm optimal perturbation problem for the simple case of two-dimensional channel flow. For such a configuration, several solutions branches emerge, each of them identifying a different energy production zone in the flow: either the centre or the walls of the domain. We study several scenarios (involving centre or wall perturbations) leading to localized energy production for different optimization time intervals. Our investigation reveals that even for this simple two-dimensional channel flow, the mechanism for the production of a highly energetic and localized perturbation is not unique in time. We show that wall perturbations are optimal (with respect to the ∞-norm) for relatively short and long times, while the centre perturbations are preferred for very short and intermediate times. The developed p-norm framework is intended to facilitate worst-case analysis of shear flows and to identify localized regions supporting dominant energy growth.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/20635953" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c74f6becfaf16743e65fc07a7b2898fc" rel="nofollow" data-download="{"attachment_id":41477698,"asset_id":20635953,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/41477698/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="41959772" href="https://independent.academia.edu/DimitryFoures">Dimitry Foures</a><script data-card-contents-for-user="41959772" type="text/json">{"id":41959772,"first_name":"Dimitry","last_name":"Foures","domain_name":"independent","page_name":"DimitryFoures","display_name":"Dimitry Foures","profile_url":"https://independent.academia.edu/DimitryFoures?f_ri=2435","photo":"https://gravatar.com/avatar/e21016c609749a16842a22071609e6b2?s=65"}</script></span></span></li><li class="js-paper-rank-work_20635953 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="20635953"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 20635953, container: ".js-paper-rank-work_20635953", }); });</script></li><li class="js-percentile-work_20635953 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20635953; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_20635953"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_20635953 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="20635953"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20635953; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20635953]").text(description); $(".js-view-count-work_20635953").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_20635953").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="20635953"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=20635953]'), work: {"id":20635953,"title":"Localization of flow structures using-norm optimization","created_at":"2016-01-23T07:55:30.680-08:00","url":"https://www.academia.edu/20635953/Localization_of_flow_structures_using_norm_optimization?f_ri=2435","dom_id":"work_20635953","summary":"Stability theory based on a variational principle and finite-time direct-adjoint optimization commonly relies on the kinetic perturbation energy density E 1 (t) = (1/V Ω ) Ω e(x, t) dΩ (where e(x, t) = |u| 2 /2) as a measure of disturbance size. This type of optimization typically yields optimal perturbations that are global in the fluid domain Ω of volume V Ω . This paper explores the use of p-norms in determining optimal perturbations for 'energy' growth over prescribed time intervals of length T. For p = 1 the traditional energy-based stability analysis is recovered, while for large p 1, localization of the optimal perturbations is observed which identifies confined regions, or 'hotspots', in the domain where significant energy growth can be expected. In addition, the p-norm optimization yields insight into the role and significance of various regions of the flow regarding the overall energy dynamics. As a canonical example, we choose to solve the ∞-norm optimal perturbation problem for the simple case of two-dimensional channel flow. For such a configuration, several solutions branches emerge, each of them identifying a different energy production zone in the flow: either the centre or the walls of the domain. We study several scenarios (involving centre or wall perturbations) leading to localized energy production for different optimization time intervals. Our investigation reveals that even for this simple two-dimensional channel flow, the mechanism for the production of a highly energetic and localized perturbation is not unique in time. We show that wall perturbations are optimal (with respect to the ∞-norm) for relatively short and long times, while the centre perturbations are preferred for very short and intermediate times. The developed p-norm framework is intended to facilitate worst-case analysis of shear flows and to identify localized regions supporting dominant energy growth.","downloadable_attachments":[{"id":41477698,"asset_id":20635953,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":41959772,"first_name":"Dimitry","last_name":"Foures","domain_name":"independent","page_name":"DimitryFoures","display_name":"Dimitry Foures","profile_url":"https://independent.academia.edu/DimitryFoures?f_ri=2435","photo":"https://gravatar.com/avatar/e21016c609749a16842a22071609e6b2?s=65"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_7597094" data-work_id="7597094" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/7597094/Navier_Stokes_Flow_in_Cylindrical_Elastic_Tubes">Navier-Stokes Flow in Cylindrical Elastic Tubes</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_7597094" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow model with two pressure-area constitutive relations. These expressions for elastic tubes are the equivalent of Poiseuille and Poiseuille-type expressions for rigid tubes which were previously derived for the flow of Newtonian and non-Newtonian fluids under various flow conditions. Formulae and procedures for identifying the pressure field and tube geometric profile are also presented. The results are validated by a finite element method implementation. Sensible trends in the analytical and numerical results are observed and documented.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/7597094" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="bb5c6db704a7a6ba41b1e5a1a30786e9" rel="nofollow" data-download="{"attachment_id":34148389,"asset_id":7597094,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/34148389/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="13649542" href="https://independentresearcher.academia.edu/TahaSochi">Taha Sochi</a><script data-card-contents-for-user="13649542" type="text/json">{"id":13649542,"first_name":"Taha","last_name":"Sochi","domain_name":"independentresearcher","page_name":"TahaSochi","display_name":"Taha Sochi","profile_url":"https://independentresearcher.academia.edu/TahaSochi?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_7597094 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="7597094"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 7597094, container: ".js-paper-rank-work_7597094", }); });</script></li><li class="js-percentile-work_7597094 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7597094; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_7597094"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_7597094 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="7597094"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7597094; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7597094]").text(description); $(".js-view-count-work_7597094").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_7597094").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="7597094"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">12</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="2377" href="https://www.academia.edu/Documents/in/Finite_Element_Methods">Finite Element Methods</a>, <script data-card-contents-for-ri="2377" type="text/json">{"id":2377,"name":"Finite Element Methods","url":"https://www.academia.edu/Documents/in/Finite_Element_Methods?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="9648" href="https://www.academia.edu/Documents/in/Fluid_structure_interaction">Fluid structure interaction</a>, <script data-card-contents-for-ri="9648" type="text/json">{"id":9648,"name":"Fluid structure interaction","url":"https://www.academia.edu/Documents/in/Fluid_structure_interaction?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="16496" href="https://www.academia.edu/Documents/in/Fluid_Dynamics">Fluid Dynamics</a><script data-card-contents-for-ri="16496" type="text/json">{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=7597094]'), work: {"id":7597094,"title":"Navier-Stokes Flow in Cylindrical Elastic Tubes","created_at":"2014-07-08T04:14:54.862-07:00","url":"https://www.academia.edu/7597094/Navier_Stokes_Flow_in_Cylindrical_Elastic_Tubes?f_ri=2435","dom_id":"work_7597094","summary":"Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow model with two pressure-area constitutive relations. These expressions for elastic tubes are the equivalent of Poiseuille and Poiseuille-type expressions for rigid tubes which were previously derived for the flow of Newtonian and non-Newtonian fluids under various flow conditions. Formulae and procedures for identifying the pressure field and tube geometric profile are also presented. The results are validated by a finite element method implementation. Sensible trends in the analytical and numerical results are observed and documented. ","downloadable_attachments":[{"id":34148389,"asset_id":7597094,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":13649542,"first_name":"Taha","last_name":"Sochi","domain_name":"independentresearcher","page_name":"TahaSochi","display_name":"Taha Sochi","profile_url":"https://independentresearcher.academia.edu/TahaSochi?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":2377,"name":"Finite Element Methods","url":"https://www.academia.edu/Documents/in/Finite_Element_Methods?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":9648,"name":"Fluid structure interaction","url":"https://www.academia.edu/Documents/in/Fluid_structure_interaction?f_ri=2435","nofollow":false},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics?f_ri=2435","nofollow":false},{"id":48543,"name":"Fluids","url":"https://www.academia.edu/Documents/in/Fluids?f_ri=2435"},{"id":224455,"name":"Blood Flow, Hemodynamics","url":"https://www.academia.edu/Documents/in/Blood_Flow_Hemodynamics?f_ri=2435"},{"id":225293,"name":"Navier Stokes","url":"https://www.academia.edu/Documents/in/Navier_Stokes?f_ri=2435"},{"id":323540,"name":"Blood flow in large arteries","url":"https://www.academia.edu/Documents/in/Blood_flow_in_large_arteries?f_ri=2435"},{"id":426588,"name":"Blood Flow","url":"https://www.academia.edu/Documents/in/Blood_Flow?f_ri=2435"},{"id":537234,"name":"Blood flow modelling","url":"https://www.academia.edu/Documents/in/Blood_flow_modelling?f_ri=2435"},{"id":690554,"name":"Biomathematics (Blood flow through stenosed arteries","url":"https://www.academia.edu/Documents/in/Biomathematics_Blood_flow_through_stenosed_arteries?f_ri=2435"},{"id":1441251,"name":"Elastic Tube","url":"https://www.academia.edu/Documents/in/Elastic_Tube?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_61223197" data-work_id="61223197" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/61223197/Available_potential_energy_and_mixing_in_density_stratified_fluids">Available potential energy and mixing in density-stratified fluids</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A conceptual framework for analysing the energetics of density-stratified Boussinesq fluid flows is discussed. The concept of gravitational available potential energy is used to formulate an energy budget in which the evolution of the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_61223197" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A conceptual framework for analysing the energetics of density-stratified Boussinesq fluid flows is discussed. The concept of gravitational available potential energy is used to formulate an energy budget in which the evolution of the background potential energy, i.e. the minimum potential energy attainable through adiabatic motions, can be explicitly examined. For closed systems, the background potential energy can change only due to diabatic processes. The rate of change of background potential energy is proportional to the molecular diffusivity. Changes in the background potential energy provide a direct measure of the potential energy changes due to irreversible diapycnal mixing. For open systems, background potential energy can also change due to boundary fluxes, which can be explicitly measured. The analysis is particularly appropriate for evaluation of diabatic mixing rates in numerical simulations of turbulent flows. The energetics of a shear driven mixing layer is used to i...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/61223197" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="90ef96cd8aa65aa3ac96c7e1b679f323" rel="nofollow" data-download="{"attachment_id":74329596,"asset_id":61223197,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/74329596/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="117285674" href="https://independent.academia.edu/JamesJRiley">James J Riley</a><script data-card-contents-for-user="117285674" type="text/json">{"id":117285674,"first_name":"James J","last_name":"Riley","domain_name":"independent","page_name":"JamesJRiley","display_name":"James J Riley","profile_url":"https://independent.academia.edu/JamesJRiley?f_ri=2435","photo":"https://0.academia-photos.com/117285674/28646494/26767954/s65_james_j.riley.jpg"}</script></span></span></li><li class="js-paper-rank-work_61223197 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="61223197"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 61223197, container: ".js-paper-rank-work_61223197", }); });</script></li><li class="js-percentile-work_61223197 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 61223197; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_61223197"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_61223197 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="61223197"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 61223197; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=61223197]").text(description); $(".js-view-count-work_61223197").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_61223197").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="61223197"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">18</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="1246" href="https://www.academia.edu/Documents/in/Gravitation">Gravitation</a>, <script data-card-contents-for-ri="1246" type="text/json">{"id":1246,"name":"Gravitation","url":"https://www.academia.edu/Documents/in/Gravitation?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="8067" href="https://www.academia.edu/Documents/in/Heat_Transfer">Heat Transfer</a><script data-card-contents-for-ri="8067" type="text/json">{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=61223197]'), work: {"id":61223197,"title":"Available potential energy and mixing in density-stratified fluids","created_at":"2021-11-07T12:02:32.448-08:00","url":"https://www.academia.edu/61223197/Available_potential_energy_and_mixing_in_density_stratified_fluids?f_ri=2435","dom_id":"work_61223197","summary":"A conceptual framework for analysing the energetics of density-stratified Boussinesq fluid flows is discussed. The concept of gravitational available potential energy is used to formulate an energy budget in which the evolution of the background potential energy, i.e. the minimum potential energy attainable through adiabatic motions, can be explicitly examined. For closed systems, the background potential energy can change only due to diabatic processes. The rate of change of background potential energy is proportional to the molecular diffusivity. Changes in the background potential energy provide a direct measure of the potential energy changes due to irreversible diapycnal mixing. For open systems, background potential energy can also change due to boundary fluxes, which can be explicitly measured. The analysis is particularly appropriate for evaluation of diabatic mixing rates in numerical simulations of turbulent flows. The energetics of a shear driven mixing layer is used to i...","downloadable_attachments":[{"id":74329596,"asset_id":61223197,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":117285674,"first_name":"James J","last_name":"Riley","domain_name":"independent","page_name":"JamesJRiley","display_name":"James J Riley","profile_url":"https://independent.academia.edu/JamesJRiley?f_ri=2435","photo":"https://0.academia-photos.com/117285674/28646494/26767954/s65_james_j.riley.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":1246,"name":"Gravitation","url":"https://www.academia.edu/Documents/in/Gravitation?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer?f_ri=2435","nofollow":false},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics?f_ri=2435"},{"id":53344,"name":"Fluid","url":"https://www.academia.edu/Documents/in/Fluid?f_ri=2435"},{"id":60658,"name":"Numerical Simulation","url":"https://www.academia.edu/Documents/in/Numerical_Simulation?f_ri=2435"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"},{"id":83315,"name":"Diffusion","url":"https://www.academia.edu/Documents/in/Diffusion?f_ri=2435"},{"id":140534,"name":"Conceptual Framework","url":"https://www.academia.edu/Documents/in/Conceptual_Framework?f_ri=2435"},{"id":171114,"name":"Turbulent Flow","url":"https://www.academia.edu/Documents/in/Turbulent_Flow?f_ri=2435"},{"id":188736,"name":"Shear Flow","url":"https://www.academia.edu/Documents/in/Shear_Flow?f_ri=2435"},{"id":215076,"name":"Fluid flow","url":"https://www.academia.edu/Documents/in/Fluid_flow?f_ri=2435"},{"id":343230,"name":"Energy Budget","url":"https://www.academia.edu/Documents/in/Energy_Budget?f_ri=2435"},{"id":899389,"name":"Open System","url":"https://www.academia.edu/Documents/in/Open_System?f_ri=2435"},{"id":1435495,"name":"Potential Energy","url":"https://www.academia.edu/Documents/in/Potential_Energy?f_ri=2435"},{"id":1565116,"name":"Mixed layer","url":"https://www.academia.edu/Documents/in/Mixed_layer?f_ri=2435"},{"id":2828123,"name":"Closed system","url":"https://www.academia.edu/Documents/in/Closed_system?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_76624881" data-work_id="76624881" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/76624881/Cavity_dynamics_in_water_entry_at_low_Froude_numbers">Cavity dynamics in water entry at low Froude numbers</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The dynamics of the air cavity created by vertical water entry of a three-dimensional body is investigated theoretically, computationally and experimentally. The study is focused in the range of relatively low Froude numbers, Fr ≡... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_76624881" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The dynamics of the air cavity created by vertical water entry of a three-dimensional body is investigated theoretically, computationally and experimentally. The study is focused in the range of relatively low Froude numbers, Fr ≡ V(gD)−1/2 ≤ O(10) (where V is the dropping velocity of the body, D its characteristic dimension and g the gravitational acceleration), when the inertia and gravity effects are comparable. To understand the physical processes involved in the evolution of cavity, we conduct laboratory experiments of water entry of freely dropping spheres. A matched asymptotic theory for the description of the cavity dynamics is developed based on the slender-body theory in the context of potential flow. Direct comparisons with experimental data show that the asymptotic theory properly captures the key physical effects involved in the development of the cavity, and in particular gives a reasonable prediction of the maximum size of the cavity and the time of cavity closure. Du...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/76624881" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="aa9757bb396f6251cc84466fc26ea62e" rel="nofollow" data-download="{"attachment_id":84276212,"asset_id":76624881,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/84276212/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="215066174" href="https://independent.academia.edu/YumingLiu11">Yuming Liu</a><script data-card-contents-for-user="215066174" type="text/json">{"id":215066174,"first_name":"Yuming","last_name":"Liu","domain_name":"independent","page_name":"YumingLiu11","display_name":"Yuming Liu","profile_url":"https://independent.academia.edu/YumingLiu11?f_ri=2435","photo":"https://0.academia-photos.com/215066174/73676150/62161000/s65_yuming.liu.jpeg"}</script></span></span></li><li class="js-paper-rank-work_76624881 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="76624881"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 76624881, container: ".js-paper-rank-work_76624881", }); });</script></li><li class="js-percentile-work_76624881 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 76624881; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_76624881"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_76624881 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="76624881"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 76624881; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=76624881]").text(description); $(".js-view-count-work_76624881").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_76624881").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="76624881"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">13</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="402" href="https://www.academia.edu/Documents/in/Environmental_Science">Environmental Science</a>, <script data-card-contents-for-ri="402" type="text/json">{"id":402,"name":"Environmental Science","url":"https://www.academia.edu/Documents/in/Environmental_Science?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="498" href="https://www.academia.edu/Documents/in/Physics">Physics</a>, <script data-card-contents-for-ri="498" type="text/json">{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="512" href="https://www.academia.edu/Documents/in/Mechanics">Mechanics</a><script data-card-contents-for-ri="512" type="text/json">{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=76624881]'), work: {"id":76624881,"title":"Cavity dynamics in water entry at low Froude numbers","created_at":"2022-04-16T08:56:45.156-07:00","url":"https://www.academia.edu/76624881/Cavity_dynamics_in_water_entry_at_low_Froude_numbers?f_ri=2435","dom_id":"work_76624881","summary":"The dynamics of the air cavity created by vertical water entry of a three-dimensional body is investigated theoretically, computationally and experimentally. The study is focused in the range of relatively low Froude numbers, Fr ≡ V(gD)−1/2 ≤ O(10) (where V is the dropping velocity of the body, D its characteristic dimension and g the gravitational acceleration), when the inertia and gravity effects are comparable. To understand the physical processes involved in the evolution of cavity, we conduct laboratory experiments of water entry of freely dropping spheres. A matched asymptotic theory for the description of the cavity dynamics is developed based on the slender-body theory in the context of potential flow. Direct comparisons with experimental data show that the asymptotic theory properly captures the key physical effects involved in the development of the cavity, and in particular gives a reasonable prediction of the maximum size of the cavity and the time of cavity closure. Du...","downloadable_attachments":[{"id":84276212,"asset_id":76624881,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":215066174,"first_name":"Yuming","last_name":"Liu","domain_name":"independent","page_name":"YumingLiu11","display_name":"Yuming Liu","profile_url":"https://independent.academia.edu/YumingLiu11?f_ri=2435","photo":"https://0.academia-photos.com/215066174/73676150/62161000/s65_yuming.liu.jpeg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":402,"name":"Environmental Science","url":"https://www.academia.edu/Documents/in/Environmental_Science?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":512,"name":"Mechanics","url":"https://www.academia.edu/Documents/in/Mechanics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435"},{"id":9032,"name":"Interaction","url":"https://www.academia.edu/Documents/in/Interaction?f_ri=2435"},{"id":75647,"name":"Interactions","url":"https://www.academia.edu/Documents/in/Interactions?f_ri=2435"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"},{"id":144041,"name":"SPHERE","url":"https://www.academia.edu/Documents/in/SPHERE?f_ri=2435"},{"id":179332,"name":"Hydrodynamics","url":"https://www.academia.edu/Documents/in/Hydrodynamics?f_ri=2435"},{"id":599635,"name":"Cambridge University","url":"https://www.academia.edu/Documents/in/Cambridge_University?f_ri=2435"},{"id":976192,"name":"Spheres","url":"https://www.academia.edu/Documents/in/Spheres?f_ri=2435"},{"id":2298656,"name":"Froude number","url":"https://www.academia.edu/Documents/in/Froude_number?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_75000404" data-work_id="75000404" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/75000404/The_formation_of_drops_through_viscous_instability">The formation of drops through viscous instability</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The stability of an immiscible layer of fluid bounded by two other fluids of different viscosities and migrating through a porous medium is analysed, both theoretically and experimentally. Linear stability analyses for both... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_75000404" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The stability of an immiscible layer of fluid bounded by two other fluids of different viscosities and migrating through a porous medium is analysed, both theoretically and experimentally. Linear stability analyses for both one-dimensional and radial flows are presented, with particular emphasis upon the behaviour when one of the interfaces is highly stable and the other is unstable. For one-dimensional motion, it is found that owing to the unstable interface, the intermediate layer of fluid eventually breaks up into drops.However, in the case of radial flow, both surface tension and the continuous thinning of the intermediate layer as it moves outward may stabilize the system. We investigate both of these stabilization mechanisms and quantify their effects in the relevant parameter space. When the outer interface is strongly unstable, there is a window of instability for an intermediate range of radial positions of the annulus. In this region, as the basic state evolves to larger r...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/75000404" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="3c25acda15f054e507b99c63144059c8" rel="nofollow" data-download="{"attachment_id":82947301,"asset_id":75000404,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82947301/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="121856118" href="https://independent.academia.edu/SilvanaCardoso12">Silvana Cardoso</a><script data-card-contents-for-user="121856118" type="text/json">{"id":121856118,"first_name":"Silvana","last_name":"Cardoso","domain_name":"independent","page_name":"SilvanaCardoso12","display_name":"Silvana Cardoso","profile_url":"https://independent.academia.edu/SilvanaCardoso12?f_ri=2435","photo":"https://0.academia-photos.com/121856118/40869901/33320438/s65_silvana.cardoso.jpg"}</script></span></span></li><li class="js-paper-rank-work_75000404 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="75000404"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 75000404, container: ".js-paper-rank-work_75000404", }); });</script></li><li class="js-percentile-work_75000404 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 75000404; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_75000404"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_75000404 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="75000404"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 75000404; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=75000404]").text(description); $(".js-view-count-work_75000404").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_75000404").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="75000404"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">8</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="511" href="https://www.academia.edu/Documents/in/Materials_Science">Materials Science</a>, <script data-card-contents-for-ri="511" type="text/json">{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=75000404]'), work: {"id":75000404,"title":"The formation of drops through viscous instability","created_at":"2022-03-30T12:16:31.846-07:00","url":"https://www.academia.edu/75000404/The_formation_of_drops_through_viscous_instability?f_ri=2435","dom_id":"work_75000404","summary":"The stability of an immiscible layer of fluid bounded by two other fluids of different viscosities and migrating through a porous medium is analysed, both theoretically and experimentally. Linear stability analyses for both one-dimensional and radial flows are presented, with particular emphasis upon the behaviour when one of the interfaces is highly stable and the other is unstable. For one-dimensional motion, it is found that owing to the unstable interface, the intermediate layer of fluid eventually breaks up into drops.However, in the case of radial flow, both surface tension and the continuous thinning of the intermediate layer as it moves outward may stabilize the system. We investigate both of these stabilization mechanisms and quantify their effects in the relevant parameter space. When the outer interface is strongly unstable, there is a window of instability for an intermediate range of radial positions of the annulus. In this region, as the basic state evolves to larger r...","downloadable_attachments":[{"id":82947301,"asset_id":75000404,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":121856118,"first_name":"Silvana","last_name":"Cardoso","domain_name":"independent","page_name":"SilvanaCardoso12","display_name":"Silvana Cardoso","profile_url":"https://independent.academia.edu/SilvanaCardoso12?f_ri=2435","photo":"https://0.academia-photos.com/121856118/40869901/33320438/s65_silvana.cardoso.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":176632,"name":"Interfaces","url":"https://www.academia.edu/Documents/in/Interfaces?f_ri=2435"},{"id":209515,"name":"Interface","url":"https://www.academia.edu/Documents/in/Interface?f_ri=2435"},{"id":420189,"name":"Linear Stability","url":"https://www.academia.edu/Documents/in/Linear_Stability?f_ri=2435"},{"id":799602,"name":"DROP","url":"https://www.academia.edu/Documents/in/DROP?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_74217507" data-work_id="74217507" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/74217507/Shock_induced_aerobreakup_of_a_droplet">Shock induced aerobreakup of a droplet</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The multiscale dynamics of a shock–droplet interaction is crucial in understanding the atomisation of droplets due to external airflow. The interaction phenomena are classified into wave dynamics (stage I) and droplet breakup dynamics... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_74217507" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The multiscale dynamics of a shock–droplet interaction is crucial in understanding the atomisation of droplets due to external airflow. The interaction phenomena are classified into wave dynamics (stage I) and droplet breakup dynamics (stage II). Stage I involves the formation of different wave structures after an incident shock impacts the droplet surface. These waves momentarily change the droplet&#39;s ambient conditions, while in later times they are mainly influenced by shock-induced airflow. Stage II involves induced airflow interaction with the droplet that leads to its deformation and breakup. Primarily, two modes of droplet breakup, i.e. shear-induced entrainment and Rayleigh–Taylor piercing (RTP) (based on the modes of surface instabilities) were observed for the studied range of Weber numbers $(We\sim 30\text{--}15\,000)$ . A criterion for the transition between two breakup modes is obtained, which successfully explains the observation of RTP mode of droplet breakup at hi...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/74217507" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="031de445a9e076628e31ba1af6367f28" rel="nofollow" data-download="{"attachment_id":82445128,"asset_id":74217507,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82445128/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="50228290" href="https://ernrt.academia.edu/awanishsingh009">Awanish Pratap Singh</a><script data-card-contents-for-user="50228290" type="text/json">{"id":50228290,"first_name":"Awanish Pratap","last_name":"Singh","domain_name":"ernrt","page_name":"awanishsingh009","display_name":"Awanish Pratap Singh","profile_url":"https://ernrt.academia.edu/awanishsingh009?f_ri=2435","photo":"https://0.academia-photos.com/50228290/13258913/14533295/s65_awanish.singh.jpg"}</script></span></span></li><li class="js-paper-rank-work_74217507 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="74217507"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 74217507, container: ".js-paper-rank-work_74217507", }); });</script></li><li class="js-percentile-work_74217507 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 74217507; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_74217507"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_74217507 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="74217507"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 74217507; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=74217507]").text(description); $(".js-view-count-work_74217507").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_74217507").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="74217507"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=74217507]'), work: {"id":74217507,"title":"Shock induced aerobreakup of a droplet","created_at":"2022-03-21T05:59:03.963-07:00","url":"https://www.academia.edu/74217507/Shock_induced_aerobreakup_of_a_droplet?f_ri=2435","dom_id":"work_74217507","summary":"The multiscale dynamics of a shock–droplet interaction is crucial in understanding the atomisation of droplets due to external airflow. The interaction phenomena are classified into wave dynamics (stage I) and droplet breakup dynamics (stage II). Stage I involves the formation of different wave structures after an incident shock impacts the droplet surface. These waves momentarily change the droplet\u0026#39;s ambient conditions, while in later times they are mainly influenced by shock-induced airflow. Stage II involves induced airflow interaction with the droplet that leads to its deformation and breakup. Primarily, two modes of droplet breakup, i.e. shear-induced entrainment and Rayleigh–Taylor piercing (RTP) (based on the modes of surface instabilities) were observed for the studied range of Weber numbers $(We\\sim 30\\text{--}15\\,000)$ . A criterion for the transition between two breakup modes is obtained, which successfully explains the observation of RTP mode of droplet breakup at hi...","downloadable_attachments":[{"id":82445128,"asset_id":74217507,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":50228290,"first_name":"Awanish Pratap","last_name":"Singh","domain_name":"ernrt","page_name":"awanishsingh009","display_name":"Awanish Pratap Singh","profile_url":"https://ernrt.academia.edu/awanishsingh009?f_ri=2435","photo":"https://0.academia-photos.com/50228290/13258913/14533295/s65_awanish.singh.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_57976511" data-work_id="57976511" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/57976511/The_Blasius_Function_Computations_Before_Computers_the_Value_of_Tricks_Undergraduate_Projects_and_Open_Research_Problems">The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semiinfinite flat plate. The Blasius function is the solution to 2fxxx + ffxx = 0 on x ∈ [0, ∞] subject to f (0) = fx(0) = 0, fx(∞) = 1. We use this... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_57976511" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semiinfinite flat plate. The Blasius function is the solution to 2fxxx + ffxx = 0 on x ∈ [0, ∞] subject to f (0) = fx(0) = 0, fx(∞) = 1. We use this famous problem to illustrate several themes. First, although the flow solves a nonlinear partial differential equation (PDE), Toepfer successfully computed highly accurate numerical solutions in 1912. His secret was to combine a Runge-Kutta method for integrating an ordinary differential equation (ODE) initial value problem with some symmetry principles and similarity reductions, which collapse the PDE system to the ODE shown above. This shows that PDE numerical studies were possible even in the precomputer age. The truth, both a hundred years ago and now, is that mathematical theorems and insights are an arithmurgist's best friend, and they can vastly reduce the computational burden. Second, we show that special tricks, applicable only to a given problem, can be as useful as the broad, general methods that are the fabric of most applied mathematics courses: the importance of "particularity." In spite of these triumphs, many properties of the Blasius function f (x) are unknown. We give a list of interesting projects for undergraduates and another list of challenging issues for the research mathematician.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/57976511" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a34321085cc179c84ce3748897277788" rel="nofollow" data-download="{"attachment_id":72612552,"asset_id":57976511,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/72612552/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="2260501" href="https://umich.academia.edu/JohnBoyd">John Boyd</a><script data-card-contents-for-user="2260501" type="text/json">{"id":2260501,"first_name":"John","last_name":"Boyd","domain_name":"umich","page_name":"JohnBoyd","display_name":"John Boyd","profile_url":"https://umich.academia.edu/JohnBoyd?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_57976511 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="57976511"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 57976511, container: ".js-paper-rank-work_57976511", }); 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$(".js-view-count[data-work-id=57976511]").text(description); $(".js-view-count-work_57976511").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_57976511").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="57976511"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">13</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="300" href="https://www.academia.edu/Documents/in/Mathematics">Mathematics</a>, <script data-card-contents-for-ri="300" type="text/json">{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="305" href="https://www.academia.edu/Documents/in/Applied_Mathematics">Applied Mathematics</a>, <script data-card-contents-for-ri="305" type="text/json">{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="72413" href="https://www.academia.edu/Documents/in/Flow">Flow</a><script data-card-contents-for-ri="72413" type="text/json">{"id":72413,"name":"Flow","url":"https://www.academia.edu/Documents/in/Flow?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=57976511]'), work: {"id":57976511,"title":"The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems","created_at":"2021-10-14T21:33:53.096-07:00","url":"https://www.academia.edu/57976511/The_Blasius_Function_Computations_Before_Computers_the_Value_of_Tricks_Undergraduate_Projects_and_Open_Research_Problems?f_ri=2435","dom_id":"work_57976511","summary":"The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semiinfinite flat plate. The Blasius function is the solution to 2fxxx + ffxx = 0 on x ∈ [0, ∞] subject to f (0) = fx(0) = 0, fx(∞) = 1. We use this famous problem to illustrate several themes. First, although the flow solves a nonlinear partial differential equation (PDE), Toepfer successfully computed highly accurate numerical solutions in 1912. His secret was to combine a Runge-Kutta method for integrating an ordinary differential equation (ODE) initial value problem with some symmetry principles and similarity reductions, which collapse the PDE system to the ODE shown above. This shows that PDE numerical studies were possible even in the precomputer age. The truth, both a hundred years ago and now, is that mathematical theorems and insights are an arithmurgist's best friend, and they can vastly reduce the computational burden. Second, we show that special tricks, applicable only to a given problem, can be as useful as the broad, general methods that are the fabric of most applied mathematics courses: the importance of \"particularity.\" In spite of these triumphs, many properties of the Blasius function f (x) are unknown. We give a list of interesting projects for undergraduates and another list of challenging issues for the research mathematician.","downloadable_attachments":[{"id":72612552,"asset_id":57976511,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":2260501,"first_name":"John","last_name":"Boyd","domain_name":"umich","page_name":"JohnBoyd","display_name":"John Boyd","profile_url":"https://umich.academia.edu/JohnBoyd?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":300,"name":"Mathematics","url":"https://www.academia.edu/Documents/in/Mathematics?f_ri=2435","nofollow":false},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":72413,"name":"Flow","url":"https://www.academia.edu/Documents/in/Flow?f_ri=2435","nofollow":false},{"id":126829,"name":"Symmetry","url":"https://www.academia.edu/Documents/in/Symmetry?f_ri=2435"},{"id":150019,"name":"Similarity","url":"https://www.academia.edu/Documents/in/Similarity?f_ri=2435"},{"id":174487,"name":"Siam","url":"https://www.academia.edu/Documents/in/Siam?f_ri=2435"},{"id":194130,"name":"PARTIAL DIFFERENTIAL EQUATION","url":"https://www.academia.edu/Documents/in/PARTIAL_DIFFERENTIAL_EQUATION?f_ri=2435"},{"id":405713,"name":"Collapse","url":"https://www.academia.edu/Documents/in/Collapse?f_ri=2435"},{"id":685326,"name":"Boundary Layer","url":"https://www.academia.edu/Documents/in/Boundary_Layer?f_ri=2435"},{"id":765146,"name":"Differential equation","url":"https://www.academia.edu/Documents/in/Differential_equation?f_ri=2435"},{"id":1198057,"name":"Computer","url":"https://www.academia.edu/Documents/in/Computer?f_ri=2435"},{"id":3936822,"name":"Similitude","url":"https://www.academia.edu/Documents/in/Similitude?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_53232976" data-work_id="53232976" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/53232976/Linear_stability_theory_of_oscillatory_Stokes_layers">Linear stability theory of oscillatory Stokes layers</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The stability of the oscillatory Stokes layers is examined using two quasi-static linear theories and an integration of the full time-dependent linearized disturbance equations. The full theory predicts absolute stability within the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_53232976" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The stability of the oscillatory Stokes layers is examined using two quasi-static linear theories and an integration of the full time-dependent linearized disturbance equations. The full theory predicts absolute stability within the investigated range and perhaps for all the Reynolds numbers. A given wavenumber disturbance of a Stokes layer is found to be more stable than that of the motionless state (zero Reynolds number). The quasi-static theories predict strong inflexional instabilities. The failure of the quasi-static theories is discussed.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/53232976" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="70f7f683415348cde0367e7f1c1cd1b8" rel="nofollow" data-download="{"attachment_id":70120409,"asset_id":53232976,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/70120409/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="80336473" href="https://independent.academia.edu/ChristianvonKerczek">Christian von Kerczek</a><script data-card-contents-for-user="80336473" type="text/json">{"id":80336473,"first_name":"Christian","last_name":"von Kerczek","domain_name":"independent","page_name":"ChristianvonKerczek","display_name":"Christian von Kerczek","profile_url":"https://independent.academia.edu/ChristianvonKerczek?f_ri=2435","photo":"https://gravatar.com/avatar/fdb6fb6c1c7fd020348ddb3946dfa9d7?s=65"}</script></span></span></li><li class="js-paper-rank-work_53232976 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="53232976"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 53232976, container: ".js-paper-rank-work_53232976", }); 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$(".js-view-count[data-work-id=53232976]").text(description); $(".js-view-count-work_53232976").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_53232976").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="53232976"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=53232976]'), work: {"id":53232976,"title":"Linear stability theory of oscillatory Stokes layers","created_at":"2021-09-22T10:22:27.498-07:00","url":"https://www.academia.edu/53232976/Linear_stability_theory_of_oscillatory_Stokes_layers?f_ri=2435","dom_id":"work_53232976","summary":"The stability of the oscillatory Stokes layers is examined using two quasi-static linear theories and an integration of the full time-dependent linearized disturbance equations. The full theory predicts absolute stability within the investigated range and perhaps for all the Reynolds numbers. A given wavenumber disturbance of a Stokes layer is found to be more stable than that of the motionless state (zero Reynolds number). The quasi-static theories predict strong inflexional instabilities. The failure of the quasi-static theories is discussed.","downloadable_attachments":[{"id":70120409,"asset_id":53232976,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":80336473,"first_name":"Christian","last_name":"von Kerczek","domain_name":"independent","page_name":"ChristianvonKerczek","display_name":"Christian von Kerczek","profile_url":"https://independent.academia.edu/ChristianvonKerczek?f_ri=2435","photo":"https://gravatar.com/avatar/fdb6fb6c1c7fd020348ddb3946dfa9d7?s=65"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_45209778" data-work_id="45209778" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/45209778/Mass_transfer_of_a_rising_bubble_in_molten_glass_with_instantaneous_oxidation_reduction_reaction">Mass transfer of a rising bubble in molten glass with instantaneous oxidation–reduction reaction</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The mass transfer around a rising bubble has been studied within the field of glass melting processes. Due to the large value of liquid viscosity, creeping flow was used. The rising bubble is assumed to have a clean interface with a total... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_45209778" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The mass transfer around a rising bubble has been studied within the field of glass melting processes. Due to the large value of liquid viscosity, creeping flow was used. The rising bubble is assumed to have a clean interface with a total mobility and the exact solution of Hadamard or Rybczynski was used to define the velocity field around the bubble. The mass transfer of oxygen in the soda-lime-silica glass melt where oxidation-reduction reactions of iron oxides occur is also described. The dimensionless mass transfer coefficient, Sherwood number, was determined as a function of the Péclet number based on the terminal rise velocity of the bubble. Two different techniques have been used: the first based on the boundary layer theory and the second using a finite element method. In order to take into account the oxidation-reduction reaction in a unified framework, a modified Péclet number has been defined as a function of two dimensionless numbers. The first is strongly linked to the equilibrium constant of the chemical reaction and the second is the glass saturation, defined as the ratio of oxygen concentration in the bulk to that at the bubble surface. The Sherwood number, taking into account the chemical reactions, increases with iron content as well as with glass reduction (i.e. small saturation level). From an application point of view, the determination of a modified Péclet number is important because it is possible to use a similar expression (determined without the reaction) by replacing the classical Péclet number by the modified one proposed herewithin.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/45209778" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="66b17378a0a16dbde81e38d6b6e650fd" rel="nofollow" data-download="{"attachment_id":65791432,"asset_id":45209778,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/65791432/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="35431858" href="https://saint-gobain.academia.edu/FranckPigeonneau">Franck Pigeonneau</a><script data-card-contents-for-user="35431858" type="text/json">{"id":35431858,"first_name":"Franck","last_name":"Pigeonneau","domain_name":"saint-gobain","page_name":"FranckPigeonneau","display_name":"Franck Pigeonneau","profile_url":"https://saint-gobain.academia.edu/FranckPigeonneau?f_ri=2435","photo":"https://0.academia-photos.com/35431858/10293632/11487023/s65_franck.pigeonneau.jpg"}</script></span></span></li><li class="js-paper-rank-work_45209778 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="45209778"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 45209778, container: ".js-paper-rank-work_45209778", }); 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$(".js-view-count[data-work-id=45209778]").text(description); $(".js-view-count-work_45209778").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_45209778").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="45209778"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">17</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="60" href="https://www.academia.edu/Documents/in/Mechanical_Engineering">Mechanical Engineering</a>, <script data-card-contents-for-ri="60" type="text/json">{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="72" href="https://www.academia.edu/Documents/in/Chemical_Engineering">Chemical Engineering</a>, <script data-card-contents-for-ri="72" type="text/json">{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2024" href="https://www.academia.edu/Documents/in/Mass_Transfer">Mass Transfer</a>, <script data-card-contents-for-ri="2024" type="text/json">{"id":2024,"name":"Mass Transfer","url":"https://www.academia.edu/Documents/in/Mass_Transfer?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a><script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=45209778]'), work: {"id":45209778,"title":"Mass transfer of a rising bubble in molten glass with instantaneous oxidation–reduction reaction","created_at":"2021-02-26T08:05:07.569-08:00","url":"https://www.academia.edu/45209778/Mass_transfer_of_a_rising_bubble_in_molten_glass_with_instantaneous_oxidation_reduction_reaction?f_ri=2435","dom_id":"work_45209778","summary":"The mass transfer around a rising bubble has been studied within the field of glass melting processes. Due to the large value of liquid viscosity, creeping flow was used. The rising bubble is assumed to have a clean interface with a total mobility and the exact solution of Hadamard or Rybczynski was used to define the velocity field around the bubble. The mass transfer of oxygen in the soda-lime-silica glass melt where oxidation-reduction reactions of iron oxides occur is also described. The dimensionless mass transfer coefficient, Sherwood number, was determined as a function of the Péclet number based on the terminal rise velocity of the bubble. Two different techniques have been used: the first based on the boundary layer theory and the second using a finite element method. In order to take into account the oxidation-reduction reaction in a unified framework, a modified Péclet number has been defined as a function of two dimensionless numbers. The first is strongly linked to the equilibrium constant of the chemical reaction and the second is the glass saturation, defined as the ratio of oxygen concentration in the bulk to that at the bubble surface. The Sherwood number, taking into account the chemical reactions, increases with iron content as well as with glass reduction (i.e. small saturation level). From an application point of view, the determination of a modified Péclet number is important because it is possible to use a similar expression (determined without the reaction) by replacing the classical Péclet number by the modified one proposed herewithin.","downloadable_attachments":[{"id":65791432,"asset_id":45209778,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":35431858,"first_name":"Franck","last_name":"Pigeonneau","domain_name":"saint-gobain","page_name":"FranckPigeonneau","display_name":"Franck Pigeonneau","profile_url":"https://saint-gobain.academia.edu/FranckPigeonneau?f_ri=2435","photo":"https://0.academia-photos.com/35431858/10293632/11487023/s65_franck.pigeonneau.jpg"}],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false},{"id":72,"name":"Chemical Engineering","url":"https://www.academia.edu/Documents/in/Chemical_Engineering?f_ri=2435","nofollow":false},{"id":2024,"name":"Mass Transfer","url":"https://www.academia.edu/Documents/in/Mass_Transfer?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis?f_ri=2435"},{"id":12147,"name":"Finite element method","url":"https://www.academia.edu/Documents/in/Finite_element_method?f_ri=2435"},{"id":98440,"name":"Silica","url":"https://www.academia.edu/Documents/in/Silica?f_ri=2435"},{"id":156579,"name":"Iron Oxide","url":"https://www.academia.edu/Documents/in/Iron_Oxide?f_ri=2435"},{"id":158597,"name":"Iron","url":"https://www.academia.edu/Documents/in/Iron?f_ri=2435"},{"id":539878,"name":"Chemical Reaction","url":"https://www.academia.edu/Documents/in/Chemical_Reaction?f_ri=2435"},{"id":595175,"name":"Chemical Engineering Science","url":"https://www.academia.edu/Documents/in/Chemical_Engineering_Science?f_ri=2435"},{"id":685326,"name":"Boundary Layer","url":"https://www.academia.edu/Documents/in/Boundary_Layer?f_ri=2435"},{"id":892890,"name":"Point of View","url":"https://www.academia.edu/Documents/in/Point_of_View?f_ri=2435"},{"id":893366,"name":"Velocity Field","url":"https://www.academia.edu/Documents/in/Velocity_Field?f_ri=2435"},{"id":1356442,"name":"Mass Transfer Coefficient","url":"https://www.academia.edu/Documents/in/Mass_Transfer_Coefficient?f_ri=2435"},{"id":1458665,"name":"Equilibrium Constant","url":"https://www.academia.edu/Documents/in/Equilibrium_Constant?f_ri=2435"},{"id":1868639,"name":"Exact solution methods","url":"https://www.academia.edu/Documents/in/Exact_solution_methods?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_18981854" data-work_id="18981854" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/18981854/Laminar_Transitional_and_Turbulent_Flows_in_Rotor_Stator_Cavities">Laminar, Transitional, and Turbulent Flows in Rotor-Stator Cavities</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This article reviews the range of flows that may be created within thin cylindrical or annular cavities due to the rotation of one of the confining disks. At low Reynolds numbers, the rotation gives rise to an axisymmetric, radially... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_18981854" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This article reviews the range of flows that may be created within thin cylindrical or annular cavities due to the rotation of one of the confining disks. At low Reynolds numbers, the rotation gives rise to an axisymmetric, radially outward motion near the rotor with a return flow along the stationary disk. As the Reynolds number is raised, this base flow gives way to a shear flow populated by discrete vortices, whether of cylindrical or spiral form, near both the rotating and stationary disks. At Reynolds numbers high enough for turbulent flow to occur, in the twentieth century both experimental and computational studies treated the flow as axisymmetric and steady. Recent research has shown, however, that complex organized structures also persist in the turbulent regime. 229 Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. For personal use only. Click here for quick links to Annual Reviews content online, including: • Other articles in this volume • Top cited articles • Top downloaded articles • Our comprehensive search Further ANNUAL REVIEWS 230 Launder · Poncet · Serre Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. For personal use only. <a href="http://www.annualreviews.org" rel="nofollow">www.annualreviews.org</a> • Flows Within Rotor-Stator Cavities 231 Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. 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At low Reynolds numbers, the rotation gives rise to an axisymmetric, radially outward motion near the rotor with a return flow along the stationary disk. As the Reynolds number is raised, this base flow gives way to a shear flow populated by discrete vortices, whether of cylindrical or spiral form, near both the rotating and stationary disks. At Reynolds numbers high enough for turbulent flow to occur, in the twentieth century both experimental and computational studies treated the flow as axisymmetric and steady. Recent research has shown, however, that complex organized structures also persist in the turbulent regime. 229 Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. For personal use only. Click here for quick links to Annual Reviews content online, including: • Other articles in this volume • Top cited articles • Top downloaded articles • Our comprehensive search Further ANNUAL REVIEWS 230 Launder · Poncet · Serre Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. For personal use only. www.annualreviews.org • Flows Within Rotor-Stator Cavities 231 Annu. Rev. Fluid Mech. 2010.42:229-248. Downloaded from arjournals.annualreviews.org by Dr Sebastien Poncet on 12/26/09. For personal use only.","downloadable_attachments":[{"id":40365315,"asset_id":18981854,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":39131392,"first_name":"Eric","last_name":"Serre","domain_name":"independent","page_name":"EricSerre","display_name":"Eric Serre","profile_url":"https://independent.academia.edu/EricSerre?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":400,"name":"Earth Sciences","url":"https://www.academia.edu/Documents/in/Earth_Sciences?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":53344,"name":"Fluid","url":"https://www.academia.edu/Documents/in/Fluid?f_ri=2435","nofollow":false},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=2435"},{"id":171114,"name":"Turbulent Flow","url":"https://www.academia.edu/Documents/in/Turbulent_Flow?f_ri=2435"},{"id":188736,"name":"Shear Flow","url":"https://www.academia.edu/Documents/in/Shear_Flow?f_ri=2435"},{"id":895065,"name":"Low Reynolds Number","url":"https://www.academia.edu/Documents/in/Low_Reynolds_Number?f_ri=2435"},{"id":1008960,"name":"Reynolds Number","url":"https://www.academia.edu/Documents/in/Reynolds_Number?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_2402653" data-work_id="2402653" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/2402653/A_multigrid_accelerated_high_order_compact_fractional_step_method_for_unsteady_incompressible_viscous_flows"> A multigrid accelerated high-order compact fractional-step method for unsteady incompressible viscous flows</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The objective of this study is the development of an efficient high-order compact scheme for unsteady incompressible viscous flows. The scheme is constructed on a staggered Cartesian grid system in order to avoid spurious oscillations in... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_2402653" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The objective of this study is the development of an efficient high-order compact scheme for unsteady incompressible viscous flows. The scheme is constructed on a staggered Cartesian grid system in order to avoid spurious oscillations in the pressure field. Navier-Stokes equations are advanced in time with the second order Adams-Bashford method without considering the pressure terms in the predictor step, the velocity field is then corrected such that discrete mass continuity equations satisfied through pressure Poisson equation. Since the efficiency of the fractional step method depends on the Poisson solver, a V-cycle multigrid acceleration with compact Mehrstellen discretization based iterative method is implemented in the pressure Poisson equation to enhance the computational efficiency. The efficiency and accuracy of iterative Poisson solvers (pseudo-time, Jacobi, Gauss-Seidel) are also tested within the multigrid framework. The method is then validated by the simulations of the Taylor-Green vortex decaying problem. Results show that the fractional-step compact scheme with multigrid acceleration has high resolving efficiency that drastically reduces computational time and high-order accuracy making the method applicable for simulation of incompressible viscous flows.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/2402653" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="21ec00f310842c4e7acbc0e58bccaef7" rel="nofollow" data-download="{"attachment_id":32578768,"asset_id":2402653,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/32578768/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="2486725" href="https://okstate.academia.edu/OmerSan">Omer San</a><script data-card-contents-for-user="2486725" type="text/json">{"id":2486725,"first_name":"Omer","last_name":"San","domain_name":"okstate","page_name":"OmerSan","display_name":"Omer San","profile_url":"https://okstate.academia.edu/OmerSan?f_ri=2435","photo":"https://0.academia-photos.com/2486725/829778/10935103/s65_omer.san.jpg"}</script></span></span></li><li class="js-paper-rank-work_2402653 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="2402653"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 2402653, container: ".js-paper-rank-work_2402653", }); 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The scheme is constructed on a staggered Cartesian grid system in order to avoid spurious oscillations in the pressure field. Navier-Stokes equations are advanced in time with the second order Adams-Bashford method without considering the pressure terms in the predictor step, the velocity field is then corrected such that discrete mass continuity equations satisfied through pressure Poisson equation. Since the efficiency of the fractional step method depends on the Poisson solver, a V-cycle multigrid acceleration with compact Mehrstellen discretization based iterative method is implemented in the pressure Poisson equation to enhance the computational efficiency. The efficiency and accuracy of iterative Poisson solvers (pseudo-time, Jacobi, Gauss-Seidel) are also tested within the multigrid framework. The method is then validated by the simulations of the Taylor-Green vortex decaying problem. Results show that the fractional-step compact scheme with multigrid acceleration has high resolving efficiency that drastically reduces computational time and high-order accuracy making the method applicable for simulation of incompressible viscous flows.","downloadable_attachments":[{"id":32578768,"asset_id":2402653,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":2486725,"first_name":"Omer","last_name":"San","domain_name":"okstate","page_name":"OmerSan","display_name":"Omer San","profile_url":"https://okstate.academia.edu/OmerSan?f_ri=2435","photo":"https://0.academia-photos.com/2486725/829778/10935103/s65_omer.san.jpg"}],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false},{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=2435","nofollow":false},{"id":2298,"name":"Computational Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_31305905" data-work_id="31305905" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/31305905/A_trigger_mechanism_for_the_Lake_Nyos_disaster">A trigger mechanism for the Lake Nyos disaster</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">The catastrophic release of</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div 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href="https://www.academia.edu/Documents/in/Geology">Geology</a>, <script data-card-contents-for-ri="406" type="text/json">{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="407" href="https://www.academia.edu/Documents/in/Geochemistry">Geochemistry</a>, <script data-card-contents-for-ri="407" type="text/json">{"id":407,"name":"Geochemistry","url":"https://www.academia.edu/Documents/in/Geochemistry?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="409" href="https://www.academia.edu/Documents/in/Geophysics">Geophysics</a>, <script data-card-contents-for-ri="409" type="text/json">{"id":409,"name":"Geophysics","url":"https://www.academia.edu/Documents/in/Geophysics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a><script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=31305905]'), work: {"id":31305905,"title":"A trigger mechanism for the Lake Nyos disaster","created_at":"2017-02-08T07:49:17.713-08:00","url":"https://www.academia.edu/31305905/A_trigger_mechanism_for_the_Lake_Nyos_disaster?f_ri=2435","dom_id":"work_31305905","summary":"The catastrophic release of","downloadable_attachments":[{"id":51700375,"asset_id":31305905,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":41928516,"first_name":"Aline","last_name":"Cotel","domain_name":"umich","page_name":"AlineCotel","display_name":"Aline Cotel","profile_url":"https://umich.academia.edu/AlineCotel?f_ri=2435","photo":"https://0.academia-photos.com/41928516/111320492/100575005/s65_aline.cotel.jpeg"}],"research_interests":[{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology?f_ri=2435","nofollow":false},{"id":407,"name":"Geochemistry","url":"https://www.academia.edu/Documents/in/Geochemistry?f_ri=2435","nofollow":false},{"id":409,"name":"Geophysics","url":"https://www.academia.edu/Documents/in/Geophysics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":2442,"name":"Atmospheric Science","url":"https://www.academia.edu/Documents/in/Atmospheric_Science?f_ri=2435"},{"id":4594,"name":"Carbon Dioxide","url":"https://www.academia.edu/Documents/in/Carbon_Dioxide?f_ri=2435"},{"id":42234,"name":"Natural Disasters","url":"https://www.academia.edu/Documents/in/Natural_Disasters?f_ri=2435"},{"id":42811,"name":"Mixing","url":"https://www.academia.edu/Documents/in/Mixing?f_ri=2435"},{"id":63679,"name":"Instability","url":"https://www.academia.edu/Documents/in/Instability?f_ri=2435"},{"id":131994,"name":"Laboratory experiment","url":"https://www.academia.edu/Documents/in/Laboratory_experiment?f_ri=2435"},{"id":307886,"name":"Thermocline","url":"https://www.academia.edu/Documents/in/Thermocline?f_ri=2435"},{"id":679783,"name":"Boolean Satisfiability","url":"https://www.academia.edu/Documents/in/Boolean_Satisfiability?f_ri=2435"},{"id":966388,"name":"Wind Velocity","url":"https://www.academia.edu/Documents/in/Wind_Velocity?f_ri=2435"},{"id":1008960,"name":"Reynolds Number","url":"https://www.academia.edu/Documents/in/Reynolds_Number?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_79428160" data-work_id="79428160" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/79428160/A_Multi_Fidelity_Adaptive_Sampling_Method_for_Metamodel_Based_Uncertainty_Quantification_of_Computer_Simulations">A Multi-Fidelity Adaptive Sampling Method for Metamodel-Based Uncertainty Quantification of Computer Simulations</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">A multi-fidelity global metamodel is presented for uncertainty quantification of computationally expensive simulations. The multi-fidelity approximation is built as the sum of a low-fidelity-trained metamodel and the metamodel of the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_79428160" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">A multi-fidelity global metamodel is presented for uncertainty quantification of computationally expensive simulations. The multi-fidelity approximation is built as the sum of a low-fidelity-trained metamodel and the metamodel of the difference (error) between high-and low-fidelity simulations. The metamodel is based on dynamic stochastic radial basis functions, which provide the prediction along with the associated uncertainty. New training points are added where the prediction uncertainty is largest, according to an adaptive sampling procedure. The prediction uncertainty of both the low-fidelity and the error metamodel are considered for the adaptive training of the low-and high-fidelity metamodels, respectively. The method is applied to a steady fluid-structure interaction (FSI) problem of a 3D NACA 0009 stainless steel hydrofoil. Two functions are considered simultaneously, namely lift and drag coefficients, versus angle of attack and Reynolds number. Two problems are presented: in the first problem the high-fidelity evaluations are obtained through steady FSI computer simulations, whereas in the second problem they are given by available experimental data from literature. Low-fidelity evaluations are provided in both cases by steady hydrodynamic simulations. The overall uncertainty of the multi-fidelity metamodel is used as a convergence criterion.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/79428160" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8c328bb12c430fc01a88d496794c04d9" rel="nofollow" data-download="{"attachment_id":86146838,"asset_id":79428160,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/86146838/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="4241607" href="https://uniromatre.academia.edu/UmbertoIemma">Umberto Iemma</a><script data-card-contents-for-user="4241607" type="text/json">{"id":4241607,"first_name":"Umberto","last_name":"Iemma","domain_name":"uniromatre","page_name":"UmbertoIemma","display_name":"Umberto Iemma","profile_url":"https://uniromatre.academia.edu/UmbertoIemma?f_ri=2435","photo":"https://0.academia-photos.com/4241607/1678766/17086879/s65_umberto.iemma.jpg"}</script></span></span></li><li class="js-paper-rank-work_79428160 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="79428160"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 79428160, container: ".js-paper-rank-work_79428160", }); 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$(".js-view-count[data-work-id=79428160]").text(description); $(".js-view-count-work_79428160").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_79428160").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="79428160"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">10</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="60" href="https://www.academia.edu/Documents/in/Mechanical_Engineering">Mechanical Engineering</a>, <script data-card-contents-for-ri="60" type="text/json">{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="422" href="https://www.academia.edu/Documents/in/Computer_Science">Computer Science</a>, <script data-card-contents-for-ri="422" type="text/json">{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2298" href="https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics">Computational Fluid Dynamics</a><script data-card-contents-for-ri="2298" type="text/json">{"id":2298,"name":"Computational Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=79428160]'), work: {"id":79428160,"title":"A Multi-Fidelity Adaptive Sampling Method for Metamodel-Based Uncertainty Quantification of Computer Simulations","created_at":"2022-05-19T00:50:42.787-07:00","url":"https://www.academia.edu/79428160/A_Multi_Fidelity_Adaptive_Sampling_Method_for_Metamodel_Based_Uncertainty_Quantification_of_Computer_Simulations?f_ri=2435","dom_id":"work_79428160","summary":"A multi-fidelity global metamodel is presented for uncertainty quantification of computationally expensive simulations. The multi-fidelity approximation is built as the sum of a low-fidelity-trained metamodel and the metamodel of the difference (error) between high-and low-fidelity simulations. The metamodel is based on dynamic stochastic radial basis functions, which provide the prediction along with the associated uncertainty. New training points are added where the prediction uncertainty is largest, according to an adaptive sampling procedure. The prediction uncertainty of both the low-fidelity and the error metamodel are considered for the adaptive training of the low-and high-fidelity metamodels, respectively. The method is applied to a steady fluid-structure interaction (FSI) problem of a 3D NACA 0009 stainless steel hydrofoil. Two functions are considered simultaneously, namely lift and drag coefficients, versus angle of attack and Reynolds number. Two problems are presented: in the first problem the high-fidelity evaluations are obtained through steady FSI computer simulations, whereas in the second problem they are given by available experimental data from literature. Low-fidelity evaluations are provided in both cases by steady hydrodynamic simulations. The overall uncertainty of the multi-fidelity metamodel is used as a convergence criterion.","downloadable_attachments":[{"id":86146838,"asset_id":79428160,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":4241607,"first_name":"Umberto","last_name":"Iemma","domain_name":"uniromatre","page_name":"UmbertoIemma","display_name":"Umberto Iemma","profile_url":"https://uniromatre.academia.edu/UmbertoIemma?f_ri=2435","photo":"https://0.academia-photos.com/4241607/1678766/17086879/s65_umberto.iemma.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering?f_ri=2435","nofollow":false},{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science?f_ri=2435","nofollow":false},{"id":2298,"name":"Computational Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435"},{"id":9648,"name":"Fluid structure interaction","url":"https://www.academia.edu/Documents/in/Fluid_structure_interaction?f_ri=2435"},{"id":16496,"name":"Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Fluid_Dynamics?f_ri=2435"},{"id":31477,"name":"Uncertainty Quantification","url":"https://www.academia.edu/Documents/in/Uncertainty_Quantification?f_ri=2435"},{"id":69542,"name":"Computer Simulation","url":"https://www.academia.edu/Documents/in/Computer_Simulation?f_ri=2435"},{"id":84900,"name":"Ship Hydrodynamics","url":"https://www.academia.edu/Documents/in/Ship_Hydrodynamics?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_71614700" data-work_id="71614700" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/71614700/Turbulent_Jets_By_N_R_AJARATNAM_Elsevier_1976_304_pp_23_45">Turbulent Jets. By N. R AJARATNAM . Elsevier, 1976. 304 pp. £23.45</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/71614700" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="8cd28f470e3d2df7dcb9ab2424343666" rel="nofollow" data-download="{"attachment_id":80882845,"asset_id":71614700,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/80882845/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="34019280" href="https://manchester.academia.edu/BrianLaunder">Brian Launder</a><script data-card-contents-for-user="34019280" type="text/json">{"id":34019280,"first_name":"Brian","last_name":"Launder","domain_name":"manchester","page_name":"BrianLaunder","display_name":"Brian Launder","profile_url":"https://manchester.academia.edu/BrianLaunder?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_71614700 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="71614700"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 71614700, container: ".js-paper-rank-work_71614700", }); });</script></li><li class="js-percentile-work_71614700 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 71614700; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_71614700"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_71614700 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="71614700"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 71614700; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=71614700]").text(description); $(".js-view-count-work_71614700").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_71614700").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="71614700"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=71614700]'), work: {"id":71614700,"title":"Turbulent Jets. By N. R AJARATNAM . Elsevier, 1976. 304 pp. £23.45","created_at":"2022-02-15T07:15:17.468-08:00","url":"https://www.academia.edu/71614700/Turbulent_Jets_By_N_R_AJARATNAM_Elsevier_1976_304_pp_23_45?f_ri=2435","dom_id":"work_71614700","summary":null,"downloadable_attachments":[{"id":80882845,"asset_id":71614700,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":34019280,"first_name":"Brian","last_name":"Launder","domain_name":"manchester","page_name":"BrianLaunder","display_name":"Brian Launder","profile_url":"https://manchester.academia.edu/BrianLaunder?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_67895196" data-work_id="67895196" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/67895196/Experimental_study_on_the_coherent_structure_of_turbulent_open_channel_flow_using_visualization_and_picture_processing">Experimental study on the coherent structure of turbulent open-channel flow using visualization and picture processing</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Coherent structures of turbulent open-channel flow in the wall region of a channel bed were examined quantitatively using experimental data obtained by flow visualization. Successive pictures of flow patterns in two horizontal... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_67895196" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Coherent structures of turbulent open-channel flow in the wall region of a channel bed were examined quantitatively using experimental data obtained by flow visualization. Successive pictures of flow patterns in two horizontal cross-sections at different levels near the channel bed were taken, and then were digitized and analysed by a computer.This method of flow visualization and picture processing enabled us to calculate the distributions of the three components of the velocity vectors. The distributions of velocities, streamlines, two-dimensional divergence and three components of vorticity could be calculated and are displayed as graphical output. In our numerical analyses, the idea of a two-dimensional correlation coefficient is introduced, through which the degree of similarity of turbulence structures can be better estimated than with the usual one-dimensional coefficient. Use of the data was based on the premise that the essential element in a turbulence structure is vortex ...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/67895196" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="a89638117cf2ca7f5e15067c7607e231" rel="nofollow" data-download="{"attachment_id":78571832,"asset_id":67895196,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/78571832/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="193798063" href="https://independent.academia.edu/TriasUtami2">Trias Utami</a><script data-card-contents-for-user="193798063" type="text/json">{"id":193798063,"first_name":"Trias","last_name":"Utami","domain_name":"independent","page_name":"TriasUtami2","display_name":"Trias Utami","profile_url":"https://independent.academia.edu/TriasUtami2?f_ri=2435","photo":"https://0.academia-photos.com/193798063/56384040/44584834/s65_trias.utami.jpeg"}</script></span></span></li><li class="js-paper-rank-work_67895196 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="67895196"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 67895196, container: ".js-paper-rank-work_67895196", }); 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Successive pictures of flow patterns in two horizontal cross-sections at different levels near the channel bed were taken, and then were digitized and analysed by a computer.This method of flow visualization and picture processing enabled us to calculate the distributions of the three components of the velocity vectors. The distributions of velocities, streamlines, two-dimensional divergence and three components of vorticity could be calculated and are displayed as graphical output. In our numerical analyses, the idea of a two-dimensional correlation coefficient is introduced, through which the degree of similarity of turbulence structures can be better estimated than with the usual one-dimensional coefficient. Use of the data was based on the premise that the essential element in a turbulence structure is vortex ...","downloadable_attachments":[{"id":78571832,"asset_id":67895196,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":193798063,"first_name":"Trias","last_name":"Utami","domain_name":"independent","page_name":"TriasUtami2","display_name":"Trias Utami","profile_url":"https://independent.academia.edu/TriasUtami2?f_ri=2435","photo":"https://0.academia-photos.com/193798063/56384040/44584834/s65_trias.utami.jpeg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":215075,"name":"Experimental Study","url":"https://www.academia.edu/Documents/in/Experimental_Study?f_ri=2435"},{"id":348052,"name":"Open Channel Flow","url":"https://www.academia.edu/Documents/in/Open_Channel_Flow?f_ri=2435"},{"id":762636,"name":"Coherent Structures","url":"https://www.academia.edu/Documents/in/Coherent_Structures?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_62974009" data-work_id="62974009" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/62974009/Runup_of_solitary_waves_on_a_circular_Island">Runup of solitary waves on a circular Island</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This is a study of the interactions of solitary waves climbing up a circular island. A series of large-scale laboratory experiments with waves of different incident height-to-depth ratios and different crest lengths is described. Detailed... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_62974009" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This is a study of the interactions of solitary waves climbing up a circular island. A series of large-scale laboratory experiments with waves of different incident height-to-depth ratios and different crest lengths is described. Detailed two-dimensional run-up height measurements and time histories of surface elevations around the island are presented. A numerical model based on the two-dimensional shallow-water wave equations including runup calculations was developed. Numerical model predictions agreed very well with the laboratory data and the model was used to study wave trapping and the effect of slope. Under certain conditions, enhanced runup and wave trapping on the lee side of the island were observed, suggesting a possible explanation for the devastation reported by field surveys in Babi Island off Flores, Indonesia, and in Okushiri Island, Japan.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/62974009" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="61077b38528493b339b68b63793b5f3a" rel="nofollow" data-download="{"attachment_id":75561161,"asset_id":62974009,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/75561161/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="35771356" href="https://independent.academia.edu/CostasSynolakis">Costas Synolakis</a><script data-card-contents-for-user="35771356" type="text/json">{"id":35771356,"first_name":"Costas","last_name":"Synolakis","domain_name":"independent","page_name":"CostasSynolakis","display_name":"Costas Synolakis","profile_url":"https://independent.academia.edu/CostasSynolakis?f_ri=2435","photo":"https://0.academia-photos.com/35771356/11360721/102254823/s65_costas.synolakis.jpg"}</script></span></span></li><li class="js-paper-rank-work_62974009 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="62974009"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 62974009, container: ".js-paper-rank-work_62974009", }); 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A series of large-scale laboratory experiments with waves of different incident height-to-depth ratios and different crest lengths is described. Detailed two-dimensional run-up height measurements and time histories of surface elevations around the island are presented. A numerical model based on the two-dimensional shallow-water wave equations including runup calculations was developed. Numerical model predictions agreed very well with the laboratory data and the model was used to study wave trapping and the effect of slope. Under certain conditions, enhanced runup and wave trapping on the lee side of the island were observed, suggesting a possible explanation for the devastation reported by field surveys in Babi Island off Flores, Indonesia, and in Okushiri Island, Japan.","downloadable_attachments":[{"id":75561161,"asset_id":62974009,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":35771356,"first_name":"Costas","last_name":"Synolakis","domain_name":"independent","page_name":"CostasSynolakis","display_name":"Costas Synolakis","profile_url":"https://independent.academia.edu/CostasSynolakis?f_ri=2435","photo":"https://0.academia-photos.com/35771356/11360721/102254823/s65_costas.synolakis.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":53344,"name":"Fluid","url":"https://www.academia.edu/Documents/in/Fluid?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false},{"id":875521,"name":"Solitary Wave","url":"https://www.academia.edu/Documents/in/Solitary_Wave?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_59034346" data-work_id="59034346" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/59034346/Perfect_fluid_sources_for_spatially_homogeneous_spacetimes">Perfect fluid sources for spatially homogeneous spacetimes</a></div></div><div class="u-pb4x u-mt3x"></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/59034346" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0098804d54db6edb81389d78b3501b37" rel="nofollow" data-download="{"attachment_id":73158648,"asset_id":59034346,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/73158648/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="74360497" href="https://independent.academia.edu/JantzenRobertT">Robert T Jantzen</a><script data-card-contents-for-user="74360497" type="text/json">{"id":74360497,"first_name":"Robert T","last_name":"Jantzen","domain_name":"independent","page_name":"JantzenRobertT","display_name":"Robert T Jantzen","profile_url":"https://independent.academia.edu/JantzenRobertT?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_59034346 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="59034346"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 59034346, container: ".js-paper-rank-work_59034346", }); 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Subsequently, a variational principle and Galerkin formulation are combined with the finite... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_58429531" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The fundamentals of the theory of consolidation and thermoelasticity are recast into the formulation of a phenomenon called thermohydroelasticity. Subsequently, a variational principle and Galerkin formulation are combined with the finite element method to develop a new technique to investigate coupled thermal-hydraulic-mechanical behavior of liquid-saturated, fractured porous rocks. A code-to-code verification of the method is performed. Finally, the environment of a heater emplaced in hard rock is simulated. The effects of the coupled thermal stresses in the fractured rock are evident from the dramatic reduction of permeability due to the deformation of the fractures. These results can improve the understanding of observations and displacement measurements made in the in situ experiments at the Stripa mine in Sweden.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/58429531" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="17647be20b9612bbcbdf6a3ce4d11a4d" rel="nofollow" data-download="{"attachment_id":72844634,"asset_id":58429531,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/72844634/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="47811273" href="https://independent.academia.edu/ChinfuTsang">Chin-fu Tsang</a><script data-card-contents-for-user="47811273" type="text/json">{"id":47811273,"first_name":"Chin-fu","last_name":"Tsang","domain_name":"independent","page_name":"ChinfuTsang","display_name":"Chin-fu Tsang","profile_url":"https://independent.academia.edu/ChinfuTsang?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_58429531 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="58429531"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 58429531, container: ".js-paper-rank-work_58429531", }); 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Subsequently, a variational principle and Galerkin formulation are combined with the finite element method to develop a new technique to investigate coupled thermal-hydraulic-mechanical behavior of liquid-saturated, fractured porous rocks. A code-to-code verification of the method is performed. Finally, the environment of a heater emplaced in hard rock is simulated. The effects of the coupled thermal stresses in the fractured rock are evident from the dramatic reduction of permeability due to the deformation of the fractures. These results can improve the understanding of observations and displacement measurements made in the in situ experiments at the Stripa mine in Sweden.","downloadable_attachments":[{"id":72844634,"asset_id":58429531,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":47811273,"first_name":"Chin-fu","last_name":"Tsang","domain_name":"independent","page_name":"ChinfuTsang","display_name":"Chin-fu Tsang","profile_url":"https://independent.academia.edu/ChinfuTsang?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis?f_ri=2435","nofollow":false},{"id":12147,"name":"Finite element method","url":"https://www.academia.edu/Documents/in/Finite_element_method?f_ri=2435","nofollow":false},{"id":28235,"name":"Multidisciplinary","url":"https://www.academia.edu/Documents/in/Multidisciplinary?f_ri=2435","nofollow":false},{"id":81085,"name":"Waste Disposal","url":"https://www.academia.edu/Documents/in/Waste_Disposal?f_ri=2435"},{"id":128791,"name":"Thermal Stress","url":"https://www.academia.edu/Documents/in/Thermal_Stress?f_ri=2435"},{"id":215076,"name":"Fluid flow","url":"https://www.academia.edu/Documents/in/Fluid_flow?f_ri=2435"},{"id":291387,"name":"Mathematical Model","url":"https://www.academia.edu/Documents/in/Mathematical_Model?f_ri=2435"},{"id":411513,"name":"Geophysical","url":"https://www.academia.edu/Documents/in/Geophysical?f_ri=2435"},{"id":508740,"name":"Porous Material","url":"https://www.academia.edu/Documents/in/Porous_Material?f_ri=2435"},{"id":867022,"name":"Boundary Condition","url":"https://www.academia.edu/Documents/in/Boundary_Condition?f_ri=2435"},{"id":896204,"name":"Numerical Solution","url":"https://www.academia.edu/Documents/in/Numerical_Solution?f_ri=2435"},{"id":1228946,"name":"Physical Properties","url":"https://www.academia.edu/Documents/in/Physical_Properties?f_ri=2435"},{"id":1279749,"name":"Tensile Properties","url":"https://www.academia.edu/Documents/in/Tensile_Properties?f_ri=2435"},{"id":1694054,"name":"Radioactive waste","url":"https://www.academia.edu/Documents/in/Radioactive_waste?f_ri=2435"},{"id":2724508,"name":"Mechanical Property","url":"https://www.academia.edu/Documents/in/Mechanical_Property?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_51087490" data-work_id="51087490" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/51087490/Flow_Characteristics_of_the_Cascade_Granular_Blanket">Flow Characteristics of the Cascade Granular Blanket</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This is a preprint or i paper intended for publication in a journal or proceedings. Since changes may he made before publication, this preprint is made available with the un derstanding that it will not be cited or reproduced without the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_51087490" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This is a preprint or i paper intended for publication in a journal or proceedings. 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$(".js-view-count[data-work-id=51087490]").text(description); $(".js-view-count-work_51087490").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_51087490").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="51087490"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">13</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="517" href="https://www.academia.edu/Documents/in/Plasma_Physics">Plasma Physics</a>, <script data-card-contents-for-ri="517" type="text/json">{"id":517,"name":"Plasma Physics","url":"https://www.academia.edu/Documents/in/Plasma_Physics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="56001" href="https://www.academia.edu/Documents/in/X_Rays">X Rays</a>, <script data-card-contents-for-ri="56001" type="text/json">{"id":56001,"name":"X Rays","url":"https://www.academia.edu/Documents/in/X_Rays?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="73142" href="https://www.academia.edu/Documents/in/Electromagnetic_Radiation">Electromagnetic Radiation</a><script data-card-contents-for-ri="73142" type="text/json">{"id":73142,"name":"Electromagnetic Radiation","url":"https://www.academia.edu/Documents/in/Electromagnetic_Radiation?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=51087490]'), work: {"id":51087490,"title":"Flow Characteristics of the Cascade Granular Blanket","created_at":"2021-08-29T20:13:25.990-07:00","url":"https://www.academia.edu/51087490/Flow_Characteristics_of_the_Cascade_Granular_Blanket?f_ri=2435","dom_id":"work_51087490","summary":"This is a preprint or i paper intended for publication in a journal or proceedings. Since changes may he made before publication, this preprint is made available with the un derstanding that it will not be cited or reproduced without the permission of the author.","downloadable_attachments":[{"id":68939001,"asset_id":51087490,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":64250456,"first_name":"Otis","last_name":"Walton","domain_name":"independent","page_name":"WaltonOtis","display_name":"Otis Walton","profile_url":"https://independent.academia.edu/WaltonOtis?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":517,"name":"Plasma Physics","url":"https://www.academia.edu/Documents/in/Plasma_Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":56001,"name":"X Rays","url":"https://www.academia.edu/Documents/in/X_Rays?f_ri=2435","nofollow":false},{"id":73142,"name":"Electromagnetic Radiation","url":"https://www.academia.edu/Documents/in/Electromagnetic_Radiation?f_ri=2435","nofollow":false},{"id":171114,"name":"Turbulent Flow","url":"https://www.academia.edu/Documents/in/Turbulent_Flow?f_ri=2435"},{"id":174781,"name":"Oscillations","url":"https://www.academia.edu/Documents/in/Oscillations?f_ri=2435"},{"id":176527,"name":"Laminar Flow","url":"https://www.academia.edu/Documents/in/Laminar_Flow?f_ri=2435"},{"id":215076,"name":"Fluid flow","url":"https://www.academia.edu/Documents/in/Fluid_flow?f_ri=2435"},{"id":382329,"name":"Granular Material","url":"https://www.academia.edu/Documents/in/Granular_Material?f_ri=2435"},{"id":719378,"name":"Fusion Technology","url":"https://www.academia.edu/Documents/in/Fusion_Technology?f_ri=2435"},{"id":764258,"name":"Ionizing Radiation","url":"https://www.academia.edu/Documents/in/Ionizing_Radiation?f_ri=2435"},{"id":875419,"name":"Velocity Profile","url":"https://www.academia.edu/Documents/in/Velocity_Profile?f_ri=2435"},{"id":898062,"name":"Flow Rate","url":"https://www.academia.edu/Documents/in/Flow_Rate?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_21977165" data-work_id="21977165" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/21977165/Regular_shock_refraction_at_an_oblique_planar_density_interface_in_magnetohydrodynamics">Regular shock refraction at an oblique planar density interface in magnetohydrodynamics</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We consider the problem of regular refraction (where regular implies all waves meet at a single point) of a shock at an oblique planar contact discontinuity separating conducting fluids of different densities in the presence of a magnetic... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_21977165" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We consider the problem of regular refraction (where regular implies all waves meet at a single point) of a shock at an oblique planar contact discontinuity separating conducting fluids of different densities in the presence of a magnetic field aligned with the incident shock velocity. Planar ideal magnetohydrodynamic (MHD) simulations indicate that the presence of a magnetic field inhibits the deposition of vorticity on the shocked contact. We show that the shock refraction process produces a system of five to seven plane waves that may include fast, intermediate, and slow MHD shocks, slow compound waves, 180 • rotational discontinuities, and slow-mode expansion fans that intersect at a point. In all solutions, the shocked contact is vorticity free and hence stable. These solutions are not unique, but differ in the types of waves that participate. The set of equations governing the structure of these multiple-wave solutions is obtained in which fluid property variation is allowed only in the azimuthal direction about the wave-intersection point. Corresponding solutions are referred to as either quintuple-points, sextuple-points, or septuple-points, depending on the number of participating waves. A numerical method of solution is described and examples are compared to the results of numerical simulations for moderate magnetic field strengths. The limit of vanishing magnetic field at fixed permeability and pressure is studied for two solution types. The relevant solutions correspond to the hydrodynamic triple-point with the shocked contact replaced by a singular structure consisting of a wedge, whose angle scales with the applied field magnitude, bounded by either two slow compound waves or two 180 • rotational discontinuities, each followed by a slowmode expansion fan. These bracket the MHD contact which itself cannot support a tangential velocity jump in the presence of a non-parallel magnetic field. The magnetic field within the singular wedge is finite and the shock-induced change in tangential velocity across the wedge is supported by the expansion fans that form part of the compound waves or follow the rotational discontinuities. To verify these findings, an approximate leading-order asymptotic solution appropriate for both flow structures was computed. The full and asymptotic solutions are compared quantitatively.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/21977165" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="559f7d704fd191f9b82c7de076461502" rel="nofollow" data-download="{"attachment_id":42690010,"asset_id":21977165,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/42690010/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="43236069" href="https://kaust.academia.edu/RSamtaney">R. Samtaney</a><script data-card-contents-for-user="43236069" type="text/json">{"id":43236069,"first_name":"R.","last_name":"Samtaney","domain_name":"kaust","page_name":"RSamtaney","display_name":"R. Samtaney","profile_url":"https://kaust.academia.edu/RSamtaney?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_21977165 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="21977165"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 21977165, container: ".js-paper-rank-work_21977165", }); });</script></li><li class="js-percentile-work_21977165 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 21977165; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_21977165"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_21977165 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="21977165"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 21977165; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=21977165]").text(description); $(".js-view-count-work_21977165").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_21977165").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="21977165"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="32149" href="https://www.academia.edu/Documents/in/Numerical_Method">Numerical Method</a>, <script data-card-contents-for-ri="32149" type="text/json">{"id":32149,"name":"Numerical Method","url":"https://www.academia.edu/Documents/in/Numerical_Method?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="34754" href="https://www.academia.edu/Documents/in/Magnetic_field">Magnetic field</a><script data-card-contents-for-ri="34754" type="text/json">{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=21977165]'), work: {"id":21977165,"title":"Regular shock refraction at an oblique planar density interface in magnetohydrodynamics","created_at":"2016-02-14T23:06:35.682-08:00","url":"https://www.academia.edu/21977165/Regular_shock_refraction_at_an_oblique_planar_density_interface_in_magnetohydrodynamics?f_ri=2435","dom_id":"work_21977165","summary":"We consider the problem of regular refraction (where regular implies all waves meet at a single point) of a shock at an oblique planar contact discontinuity separating conducting fluids of different densities in the presence of a magnetic field aligned with the incident shock velocity. Planar ideal magnetohydrodynamic (MHD) simulations indicate that the presence of a magnetic field inhibits the deposition of vorticity on the shocked contact. We show that the shock refraction process produces a system of five to seven plane waves that may include fast, intermediate, and slow MHD shocks, slow compound waves, 180 • rotational discontinuities, and slow-mode expansion fans that intersect at a point. In all solutions, the shocked contact is vorticity free and hence stable. These solutions are not unique, but differ in the types of waves that participate. The set of equations governing the structure of these multiple-wave solutions is obtained in which fluid property variation is allowed only in the azimuthal direction about the wave-intersection point. Corresponding solutions are referred to as either quintuple-points, sextuple-points, or septuple-points, depending on the number of participating waves. A numerical method of solution is described and examples are compared to the results of numerical simulations for moderate magnetic field strengths. The limit of vanishing magnetic field at fixed permeability and pressure is studied for two solution types. The relevant solutions correspond to the hydrodynamic triple-point with the shocked contact replaced by a singular structure consisting of a wedge, whose angle scales with the applied field magnitude, bounded by either two slow compound waves or two 180 • rotational discontinuities, each followed by a slowmode expansion fan. These bracket the MHD contact which itself cannot support a tangential velocity jump in the presence of a non-parallel magnetic field. The magnetic field within the singular wedge is finite and the shock-induced change in tangential velocity across the wedge is supported by the expansion fans that form part of the compound waves or follow the rotational discontinuities. To verify these findings, an approximate leading-order asymptotic solution appropriate for both flow structures was computed. The full and asymptotic solutions are compared quantitatively.","downloadable_attachments":[{"id":42690010,"asset_id":21977165,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":43236069,"first_name":"R.","last_name":"Samtaney","domain_name":"kaust","page_name":"RSamtaney","display_name":"R. Samtaney","profile_url":"https://kaust.academia.edu/RSamtaney?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":32149,"name":"Numerical Method","url":"https://www.academia.edu/Documents/in/Numerical_Method?f_ri=2435","nofollow":false},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_19157083" data-work_id="19157083" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/19157083/Fmfp2013_submission_57">Fmfp2013 submission 57</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This paper presents the construction and working of a "Z-type 2 mirror Schlieren system" and then its working capability is demonstrated by performing two sets of flow visualization experiments. The low cost and ease of construction makes... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_19157083" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This paper presents the construction and working of a "Z-type 2 mirror Schlieren system" and then its working capability is demonstrated by performing two sets of flow visualization experiments. The low cost and ease of construction makes this system highly suitable for any fluid mechanics laboratory. The system is called Z-type Schlieren system because the light rays travel a Z-path before forming a final image. The important and popular applications of this system are in the visualization of shock waves and expansion waves across high speed flows like supersonic/hypersonic flows. This technique can also be used for visualizing convection phenomenon.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/19157083" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="df770ff1621d90380517d49852b8886b" rel="nofollow" data-download="{"attachment_id":40462224,"asset_id":19157083,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/40462224/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="39354365" href="https://iitg-in.academia.edu/NikhilReddyPasula">Nikhil Reddy Pasula</a><script data-card-contents-for-user="39354365" type="text/json">{"id":39354365,"first_name":"Nikhil Reddy","last_name":"Pasula","domain_name":"iitg-in","page_name":"NikhilReddyPasula","display_name":"Nikhil Reddy Pasula","profile_url":"https://iitg-in.academia.edu/NikhilReddyPasula?f_ri=2435","photo":"https://0.academia-photos.com/39354365/12080944/13457780/s65_nikhil_reddy.pasula.jpg"}</script></span></span></li><li class="js-paper-rank-work_19157083 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="19157083"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 19157083, container: ".js-paper-rank-work_19157083", }); });</script></li><li class="js-percentile-work_19157083 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 19157083; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_19157083"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_19157083 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="19157083"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 19157083; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=19157083]").text(description); $(".js-view-count-work_19157083").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_19157083").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="19157083"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="516" href="https://www.academia.edu/Documents/in/Optics">Optics</a>, <script data-card-contents-for-ri="516" type="text/json">{"id":516,"name":"Optics","url":"https://www.academia.edu/Documents/in/Optics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="49654" href="https://www.academia.edu/Documents/in/Experimental_Fluid_Dynamics">Experimental Fluid Dynamics</a>, <script data-card-contents-for-ri="49654" type="text/json">{"id":49654,"name":"Experimental Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Experimental_Fluid_Dynamics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="159371" href="https://www.academia.edu/Documents/in/Flow_Visualization">Flow Visualization</a><script data-card-contents-for-ri="159371" type="text/json">{"id":159371,"name":"Flow Visualization","url":"https://www.academia.edu/Documents/in/Flow_Visualization?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=19157083]'), work: {"id":19157083,"title":"Fmfp2013 submission 57","created_at":"2015-11-28T16:06:30.966-08:00","url":"https://www.academia.edu/19157083/Fmfp2013_submission_57?f_ri=2435","dom_id":"work_19157083","summary":"This paper presents the construction and working of a \"Z-type 2 mirror Schlieren system\" and then its working capability is demonstrated by performing two sets of flow visualization experiments. The low cost and ease of construction makes this system highly suitable for any fluid mechanics laboratory. The system is called Z-type Schlieren system because the light rays travel a Z-path before forming a final image. The important and popular applications of this system are in the visualization of shock waves and expansion waves across high speed flows like supersonic/hypersonic flows. This technique can also be used for visualizing convection phenomenon.","downloadable_attachments":[{"id":40462224,"asset_id":19157083,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":39354365,"first_name":"Nikhil Reddy","last_name":"Pasula","domain_name":"iitg-in","page_name":"NikhilReddyPasula","display_name":"Nikhil Reddy Pasula","profile_url":"https://iitg-in.academia.edu/NikhilReddyPasula?f_ri=2435","photo":"https://0.academia-photos.com/39354365/12080944/13457780/s65_nikhil_reddy.pasula.jpg"}],"research_interests":[{"id":516,"name":"Optics","url":"https://www.academia.edu/Documents/in/Optics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":49654,"name":"Experimental Fluid Dynamics","url":"https://www.academia.edu/Documents/in/Experimental_Fluid_Dynamics?f_ri=2435","nofollow":false},{"id":159371,"name":"Flow Visualization","url":"https://www.academia.edu/Documents/in/Flow_Visualization?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_71614698" data-work_id="71614698" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/71614698/Sink_flow_turbulent_boundary_layers">Sink flow turbulent boundary layers</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The study of sink flow turbulent boundary layers is of particular relevance to the problem of laminarization. The reason lies in the fact that the acceleration parameter which principally determines when a turbulent boundary layer will... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_71614698" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The study of sink flow turbulent boundary layers is of particular relevance to the problem of laminarization. The reason lies in the fact that the acceleration parameter which principally determines when a turbulent boundary layer will begin to revert towards laminar is, in these flows, constant from station to station. The paper presents theoretical solutions to this class of boundary layer by making use of the Prandtl mixing-length formula to relate the turbulent shear stress to the mean velocity gradient. Near the wall the Van Driest recommendation for mixing length is adopted and the Van Driest function, A+, is chosen such that the skin friction coefficient does not exceed a certain maximum value.The predicted solutions, which are in good agreement with available experimental data, display a plausible shift from the turbulent towards the laminar solution as the acceleration parameter is increased.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/71614698" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c642b9da4956b95161127105cadaa2b7" rel="nofollow" data-download="{"attachment_id":80882823,"asset_id":71614698,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/80882823/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="34019280" href="https://manchester.academia.edu/BrianLaunder">Brian Launder</a><script data-card-contents-for-user="34019280" type="text/json">{"id":34019280,"first_name":"Brian","last_name":"Launder","domain_name":"manchester","page_name":"BrianLaunder","display_name":"Brian Launder","profile_url":"https://manchester.academia.edu/BrianLaunder?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_71614698 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="71614698"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 71614698, container: ".js-paper-rank-work_71614698", }); });</script></li><li class="js-percentile-work_71614698 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 71614698; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_71614698"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_71614698 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="71614698"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 71614698; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=71614698]").text(description); $(".js-view-count-work_71614698").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_71614698").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="71614698"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">5</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="406" href="https://www.academia.edu/Documents/in/Geology">Geology</a>, <script data-card-contents-for-ri="406" type="text/json">{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="71082" href="https://www.academia.edu/Documents/in/Turbulent_boundary_layer">Turbulent boundary layer</a><script data-card-contents-for-ri="71082" type="text/json">{"id":71082,"name":"Turbulent boundary layer","url":"https://www.academia.edu/Documents/in/Turbulent_boundary_layer?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=71614698]'), work: {"id":71614698,"title":"Sink flow turbulent boundary layers","created_at":"2022-02-15T07:15:17.168-08:00","url":"https://www.academia.edu/71614698/Sink_flow_turbulent_boundary_layers?f_ri=2435","dom_id":"work_71614698","summary":"The study of sink flow turbulent boundary layers is of particular relevance to the problem of laminarization. The reason lies in the fact that the acceleration parameter which principally determines when a turbulent boundary layer will begin to revert towards laminar is, in these flows, constant from station to station. The paper presents theoretical solutions to this class of boundary layer by making use of the Prandtl mixing-length formula to relate the turbulent shear stress to the mean velocity gradient. Near the wall the Van Driest recommendation for mixing length is adopted and the Van Driest function, A+, is chosen such that the skin friction coefficient does not exceed a certain maximum value.The predicted solutions, which are in good agreement with available experimental data, display a plausible shift from the turbulent towards the laminar solution as the acceleration parameter is increased.","downloadable_attachments":[{"id":80882823,"asset_id":71614698,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":34019280,"first_name":"Brian","last_name":"Launder","domain_name":"manchester","page_name":"BrianLaunder","display_name":"Brian Launder","profile_url":"https://manchester.academia.edu/BrianLaunder?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":406,"name":"Geology","url":"https://www.academia.edu/Documents/in/Geology?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":71082,"name":"Turbulent boundary layer","url":"https://www.academia.edu/Documents/in/Turbulent_boundary_layer?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_47875543" data-work_id="47875543" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/47875543/Dynamically_consistent_entrainment_laws_for_depth_averaged_avalanche_models">Dynamically consistent entrainment laws for depth-averaged avalanche models</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The bed entrainment rate in a gravity mass flow (GMF) is uniquely determined by the properties of the bed and the flow. In depth-averaging, however, critical information on the flow variables near the bed is lost and empirical assumptions... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_47875543" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The bed entrainment rate in a gravity mass flow (GMF) is uniquely determined by the properties of the bed and the flow. In depth-averaging, however, critical information on the flow variables near the bed is lost and empirical assumptions usually are made instead. We study the interplay between bed and flow assuming a perfectly brittle bed, characterized by its shear strength ${\it\tau}_{c}$, and erosion along the bottom surface of the flow; frontal entrainment is neglected here. The brittleness assumption implies that the shear stress at the bed surface cannot exceed ${\it\tau}_{c}$. For quasi-stationary flows in a simplified setting, analytic solutions are found for Bingham and frictional–collisional (FC) fluids. Extending this theory to non-stationary flows requires some assumptions for the velocity profile. For the Bingham fluid, the profile of a ‘proxy’ quasi-stationary eroding flow is used; the rheological parameters are chosen to match the instantaneous velocity and shear-lay...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/47875543" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="00bf2d78abe3011ee336e10cf02599c9" rel="nofollow" data-download="{"attachment_id":66775937,"asset_id":47875543,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/66775937/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="31901585" href="https://independent.academia.edu/DIssler">Dieter Issler</a><script data-card-contents-for-user="31901585" type="text/json">{"id":31901585,"first_name":"Dieter","last_name":"Issler","domain_name":"independent","page_name":"DIssler","display_name":"Dieter Issler","profile_url":"https://independent.academia.edu/DIssler?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_47875543 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="47875543"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 47875543, container: ".js-paper-rank-work_47875543", }); 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$(".js-view-count[data-work-id=47875543]").text(description); $(".js-view-count-work_47875543").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_47875543").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="47875543"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=47875543]'), work: {"id":47875543,"title":"Dynamically consistent entrainment laws for depth-averaged avalanche models","created_at":"2021-05-02T09:02:15.051-07:00","url":"https://www.academia.edu/47875543/Dynamically_consistent_entrainment_laws_for_depth_averaged_avalanche_models?f_ri=2435","dom_id":"work_47875543","summary":"The bed entrainment rate in a gravity mass flow (GMF) is uniquely determined by the properties of the bed and the flow. In depth-averaging, however, critical information on the flow variables near the bed is lost and empirical assumptions usually are made instead. We study the interplay between bed and flow assuming a perfectly brittle bed, characterized by its shear strength ${\\it\\tau}_{c}$, and erosion along the bottom surface of the flow; frontal entrainment is neglected here. The brittleness assumption implies that the shear stress at the bed surface cannot exceed ${\\it\\tau}_{c}$. For quasi-stationary flows in a simplified setting, analytic solutions are found for Bingham and frictional–collisional (FC) fluids. Extending this theory to non-stationary flows requires some assumptions for the velocity profile. For the Bingham fluid, the profile of a ‘proxy’ quasi-stationary eroding flow is used; the rheological parameters are chosen to match the instantaneous velocity and shear-lay...","downloadable_attachments":[{"id":66775937,"asset_id":47875543,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":31901585,"first_name":"Dieter","last_name":"Issler","domain_name":"independent","page_name":"DIssler","display_name":"Dieter Issler","profile_url":"https://independent.academia.edu/DIssler?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_35894652" data-work_id="35894652" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/35894652/Development_of_an_Experimental_Setup_for_Analyzing_the_Influence_of_Magnus_Effect_on_the_Performance_of_Airfoil">Development of an Experimental Setup for Analyzing the Influence of Magnus Effect on the Performance of Airfoil</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Magnus effect is a phenomenon where pressure difference is created according to Bernoulli's effect due to induced velocity changes caused by a rotating object in a fluid. Using this concept, the idea of delaying boundary layer separation... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_35894652" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Magnus effect is a phenomenon where pressure difference is created according to Bernoulli's effect due to induced velocity changes caused by a rotating object in a fluid. Using this concept, the idea of delaying boundary layer separation on airfoil by providing moving surface boundary layer control has been developed. In order to analyze the influence of Magnus effect on the aerodynamic performance of an airfoil, there is no alternative of developing an experimental setup. This paper aims to develop such an experimental setup which will be capable of analyzing the influence of Magnus effect on both symmetric and asymmetric airfoils by placing a cylinder at the leading edge. To provide arrangements for a rotating cylinder at the leading edge of airfoil, necessary modifications and additions have been done in the test section of an AF100 subsonic wind tunnel.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/35894652" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e91808a892a22c7a720c292747c6db3d" rel="nofollow" data-download="{"attachment_id":55774387,"asset_id":35894652,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/55774387/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="71061370" href="https://mist-bd.academia.edu/ShowrovAktheruzzaman">Showrov Aktheruzzaman</a><script data-card-contents-for-user="71061370" type="text/json">{"id":71061370,"first_name":"Showrov","last_name":"Aktheruzzaman","domain_name":"mist-bd","page_name":"ShowrovAktheruzzaman","display_name":"Showrov Aktheruzzaman","profile_url":"https://mist-bd.academia.edu/ShowrovAktheruzzaman?f_ri=2435","photo":"https://0.academia-photos.com/71061370/19019212/18966979/s65_showrov.aktheruzzaman.jpg"}</script></span></span></li><li class="js-paper-rank-work_35894652 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="35894652"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 35894652, container: ".js-paper-rank-work_35894652", }); });</script></li><li class="js-percentile-work_35894652 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 35894652; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_35894652"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_35894652 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="35894652"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 35894652; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=35894652]").text(description); $(".js-view-count-work_35894652").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_35894652").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="35894652"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="61709" href="https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics_CFD_modelling_and_simulation">Computational Fluid Dynamics (CFD) modelling and simulation</a>, <script data-card-contents-for-ri="61709" type="text/json">{"id":61709,"name":"Computational Fluid Dynamics (CFD) modelling and simulation","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics_CFD_modelling_and_simulation?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="156091" href="https://www.academia.edu/Documents/in/CFD_and_AERODYNAMICS">CFD and AERODYNAMICS</a>, <script data-card-contents-for-ri="156091" type="text/json">{"id":156091,"name":"CFD and AERODYNAMICS","url":"https://www.academia.edu/Documents/in/CFD_and_AERODYNAMICS?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="1785117" href="https://www.academia.edu/Documents/in/Magnus_Effect">Magnus Effect</a><script data-card-contents-for-ri="1785117" type="text/json">{"id":1785117,"name":"Magnus Effect","url":"https://www.academia.edu/Documents/in/Magnus_Effect?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=35894652]'), work: {"id":35894652,"title":"Development of an Experimental Setup for Analyzing the Influence of Magnus Effect on the Performance of Airfoil","created_at":"2018-02-11T09:04:39.737-08:00","url":"https://www.academia.edu/35894652/Development_of_an_Experimental_Setup_for_Analyzing_the_Influence_of_Magnus_Effect_on_the_Performance_of_Airfoil?f_ri=2435","dom_id":"work_35894652","summary":"Magnus effect is a phenomenon where pressure difference is created according to Bernoulli's effect due to induced velocity changes caused by a rotating object in a fluid. Using this concept, the idea of delaying boundary layer separation on airfoil by providing moving surface boundary layer control has been developed. In order to analyze the influence of Magnus effect on the aerodynamic performance of an airfoil, there is no alternative of developing an experimental setup. This paper aims to develop such an experimental setup which will be capable of analyzing the influence of Magnus effect on both symmetric and asymmetric airfoils by placing a cylinder at the leading edge. To provide arrangements for a rotating cylinder at the leading edge of airfoil, necessary modifications and additions have been done in the test section of an AF100 subsonic wind tunnel.","downloadable_attachments":[{"id":55774387,"asset_id":35894652,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":71061370,"first_name":"Showrov","last_name":"Aktheruzzaman","domain_name":"mist-bd","page_name":"ShowrovAktheruzzaman","display_name":"Showrov Aktheruzzaman","profile_url":"https://mist-bd.academia.edu/ShowrovAktheruzzaman?f_ri=2435","photo":"https://0.academia-photos.com/71061370/19019212/18966979/s65_showrov.aktheruzzaman.jpg"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":61709,"name":"Computational Fluid Dynamics (CFD) modelling and simulation","url":"https://www.academia.edu/Documents/in/Computational_Fluid_Dynamics_CFD_modelling_and_simulation?f_ri=2435","nofollow":false},{"id":156091,"name":"CFD and AERODYNAMICS","url":"https://www.academia.edu/Documents/in/CFD_and_AERODYNAMICS?f_ri=2435","nofollow":false},{"id":1785117,"name":"Magnus Effect","url":"https://www.academia.edu/Documents/in/Magnus_Effect?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_26042756" data-work_id="26042756" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/26042756/C%C3%A1lculo_de_la_potencia_desarrollada_por_el_coraz%C3%B3n_para_flujo_sangu%C3%ADneo_en_la_aorta">Cálculo de la potencia desarrollada por el corazón para flujo sanguíneo en la aorta</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">En este trabajo se presenta el análisis llevado a cabo para determinar la potencia requerida por el corazón para enviar sangre a través de la aorta. El análisis se llevo a cabo desarrollando un modelo análogo al sistema circulatorio... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_26042756" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">En este trabajo se presenta el análisis llevado a cabo para determinar la potencia requerida por el corazón para enviar sangre a través de la aorta. El análisis se llevo a cabo desarrollando un modelo análogo al sistema circulatorio mediante tuberías y accesorios. <br />Debido a la amplitud y complejidad del sistema circulatorio el análisis llevado a cabo en este trabajo se limita a la aorta, y a las ramificaciones de los miembros superiores, (subclavial izquierda y derecha, axilar izquierda y derecha, braquial izquierda y derecha) que se consideran para efectos prácticos solo como extracciones de flujo .</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/26042756" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="e2684d9e87feae5cae3acc37704c924d" rel="nofollow" data-download="{"attachment_id":46381775,"asset_id":26042756,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/46381775/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="40630248" href="https://institutotecnologicodecelaya.academia.edu/DanielCruzTellez">Daniel Cruz Tellez</a><script data-card-contents-for-user="40630248" type="text/json">{"id":40630248,"first_name":"Daniel","last_name":"Cruz Tellez","domain_name":"institutotecnologicodecelaya","page_name":"DanielCruzTellez","display_name":"Daniel Cruz Tellez","profile_url":"https://institutotecnologicodecelaya.academia.edu/DanielCruzTellez?f_ri=2435","photo":"https://0.academia-photos.com/40630248/11072103/12355843/s65_daniel.cruz_tellez.jpg_oh_424081128d21545bcdec1e9b3709e550_oe_5702f43c"}</script></span></span></li><li class="js-paper-rank-work_26042756 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="26042756"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 26042756, container: ".js-paper-rank-work_26042756", }); });</script></li><li class="js-percentile-work_26042756 InlineList-item InlineList-item--bordered hidden u-tcGrayDark"><span class="percentile-widget hidden"><span class="u-mr2x percentile-widget" style="display: none">•</span><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 26042756; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-percentile-work_26042756"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_26042756 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="26042756"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 26042756; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=26042756]").text(description); $(".js-view-count-work_26042756").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_26042756").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="26042756"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i></div><span class="InlineList-item-text u-textTruncate u-pl6x"><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a><script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (false) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=26042756]'), work: {"id":26042756,"title":"Cálculo de la potencia desarrollada por el corazón para flujo sanguíneo en la aorta","created_at":"2016-06-10T08:56:11.027-07:00","url":"https://www.academia.edu/26042756/C%C3%A1lculo_de_la_potencia_desarrollada_por_el_coraz%C3%B3n_para_flujo_sangu%C3%ADneo_en_la_aorta?f_ri=2435","dom_id":"work_26042756","summary":"En este trabajo se presenta el análisis llevado a cabo para determinar la potencia requerida por el corazón para enviar sangre a través de la aorta. El análisis se llevo a cabo desarrollando un modelo análogo al sistema circulatorio mediante tuberías y accesorios. \nDebido a la amplitud y complejidad del sistema circulatorio el análisis llevado a cabo en este trabajo se limita a la aorta, y a las ramificaciones de los miembros superiores, (subclavial izquierda y derecha, axilar izquierda y derecha, braquial izquierda y derecha) que se consideran para efectos prácticos solo como extracciones de flujo .","downloadable_attachments":[{"id":46381775,"asset_id":26042756,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":40630248,"first_name":"Daniel","last_name":"Cruz Tellez","domain_name":"institutotecnologicodecelaya","page_name":"DanielCruzTellez","display_name":"Daniel Cruz Tellez","profile_url":"https://institutotecnologicodecelaya.academia.edu/DanielCruzTellez?f_ri=2435","photo":"https://0.academia-photos.com/40630248/11072103/12355843/s65_daniel.cruz_tellez.jpg_oh_424081128d21545bcdec1e9b3709e550_oe_5702f43c"}],"research_interests":[{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_12549956" data-work_id="12549956" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/12549956/The_route_to_chaos_for_the_Kuramoto_Sivashinsky_equation">The route to chaos for the Kuramoto-Sivashinsky equation</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest">A A 7. -7-Ee NASA Nalional Aeronautics and Spa;e Adm ginisl alion Lnngley Research Center I fa" q)on, Virginia 23665 -5225 O 11. 9 012</div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/12549956" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c1b1d4559097bfa5bccdbd6086b60675" rel="nofollow" data-download="{"attachment_id":46094237,"asset_id":12549956,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button 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$(".js-view-count-work_12549956").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="12549956"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">22</a>  </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="305" href="https://www.academia.edu/Documents/in/Applied_Mathematics">Applied Mathematics</a>, <script data-card-contents-for-ri="305" type="text/json">{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="5493" href="https://www.academia.edu/Documents/in/Nonlinear_dynamics">Nonlinear dynamics</a>, <script data-card-contents-for-ri="5493" type="text/json">{"id":5493,"name":"Nonlinear dynamics","url":"https://www.academia.edu/Documents/in/Nonlinear_dynamics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="8067" href="https://www.academia.edu/Documents/in/Heat_Transfer">Heat Transfer</a><script data-card-contents-for-ri="8067" type="text/json">{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=12549956]'), work: {"id":12549956,"title":"The route to chaos for the Kuramoto-Sivashinsky equation","created_at":"2015-05-23T13:41:54.697-07:00","url":"https://www.academia.edu/12549956/The_route_to_chaos_for_the_Kuramoto_Sivashinsky_equation?f_ri=2435","dom_id":"work_12549956","summary":"A A 7. -7-Ee NASA Nalional Aeronautics and Spa;e Adm ginisl alion Lnngley Research Center I fa\" q)on, Virginia 23665 -5225 O 11. 9 012","downloadable_attachments":[{"id":46094237,"asset_id":12549956,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":8356589,"first_name":"Yiorgos","last_name":"Smyrlis","domain_name":"independent","page_name":"YiorgosSmyrlis","display_name":"Yiorgos Smyrlis","profile_url":"https://independent.academia.edu/YiorgosSmyrlis?f_ri=2435","photo":"https://0.academia-photos.com/8356589/9284828/10350049/s65_yiorgos.smyrlis.jpg_oh_08e4434c870f6b21e6cae84074e4024f_oe_55c1d4cd___gda___1442185820_0824ad3e45797b93f02ca66fee4103a3"}],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":5493,"name":"Nonlinear dynamics","url":"https://www.academia.edu/Documents/in/Nonlinear_dynamics?f_ri=2435","nofollow":false},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer?f_ri=2435","nofollow":false},{"id":12022,"name":"Numerical Analysis","url":"https://www.academia.edu/Documents/in/Numerical_Analysis?f_ri=2435"},{"id":48936,"name":"TIME","url":"https://www.academia.edu/Documents/in/TIME?f_ri=2435"},{"id":62320,"name":"Dynamics","url":"https://www.academia.edu/Documents/in/Dynamics?f_ri=2435"},{"id":80799,"name":"Classical Physics","url":"https://www.academia.edu/Documents/in/Classical_Physics?f_ri=2435"},{"id":109384,"name":"Viscosity","url":"https://www.academia.edu/Documents/in/Viscosity?f_ri=2435"},{"id":171114,"name":"Turbulent Flow","url":"https://www.academia.edu/Documents/in/Turbulent_Flow?f_ri=2435"},{"id":222949,"name":"Dissipation","url":"https://www.academia.edu/Documents/in/Dissipation?f_ri=2435"},{"id":506858,"name":"Nonlinear system","url":"https://www.academia.edu/Documents/in/Nonlinear_system?f_ri=2435"},{"id":621517,"name":"Time","url":"https://www.academia.edu/Documents/in/Time-2?f_ri=2435"},{"id":733670,"name":"Boundary Value Problems","url":"https://www.academia.edu/Documents/in/Boundary_Value_Problems?f_ri=2435"},{"id":765148,"name":"Numerical computation","url":"https://www.academia.edu/Documents/in/Numerical_computation?f_ri=2435"},{"id":868912,"name":"Dynamic System","url":"https://www.academia.edu/Documents/in/Dynamic_System?f_ri=2435"},{"id":870397,"name":"Parameters","url":"https://www.academia.edu/Documents/in/Parameters?f_ri=2435"},{"id":886328,"name":"Infinite series","url":"https://www.academia.edu/Documents/in/Infinite_series?f_ri=2435"},{"id":896204,"name":"Numerical Solution","url":"https://www.academia.edu/Documents/in/Numerical_Solution?f_ri=2435"},{"id":939537,"name":"Boundary Value Problem","url":"https://www.academia.edu/Documents/in/Boundary_Value_Problem?f_ri=2435"},{"id":989975,"name":"Computations","url":"https://www.academia.edu/Documents/in/Computations?f_ri=2435"},{"id":1119718,"name":"Initial Condition","url":"https://www.academia.edu/Documents/in/Initial_Condition?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_23013785" data-work_id="23013785" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/23013785/Steady_state_resonance_of_multiple_wave_interactions_in_deep_water">Steady-state resonance of multiple wave interactions in deep water</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The steady-state resonance of multiple surface gravity waves in deep water was investigated in detail to extend the existing results due to Liao (Commun. Nonlinear steady-state resonance from a quartet to more general and coupled resonant... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_23013785" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The steady-state resonance of multiple surface gravity waves in deep water was investigated in detail to extend the existing results due to Liao (Commun. Nonlinear steady-state resonance from a quartet to more general and coupled resonant quartets, together with higher-order resonant interactions. The exact nonlinear wave equations are solved without assumptions on the existence of small physical parameters. Multiple steady-state resonant waves are obtained for all the considered cases, and it is found that the number of multiple solutions tends to increase when more wave components are involved in the resonance sets. The topology of wave energy distribution in the parameter space is analysed, and it is found that the steady-state resonant waves indeed form a continuum in the parameter space. The significant roles of the near-resonance and nonlinearity were also revealed. It is found that all of the near-resonant components as a whole contain more and more wave energy, as the wave patterns tend from two dimensions to one dimension, or as the nonlinearity of the steady-state resonant wave system increases. In addition, the linear stability of the steady-state resonant waves is analysed. It is found that the steady-state resonant waves are stable, as long as the disturbance does not resonate with any components of the basic wave. All of these findings are helpful to enrich and deepen our understanding about resonant gravity waves.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/23013785" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="c97b9095d447f193eac38ed3f7e10c07" rel="nofollow" data-download="{"attachment_id":43525352,"asset_id":23013785,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/43525352/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="44731352" href="https://sjtu.academia.edu/ShijunLiao">Shijun Liao</a><script data-card-contents-for-user="44731352" type="text/json">{"id":44731352,"first_name":"Shijun","last_name":"Liao","domain_name":"sjtu","page_name":"ShijunLiao","display_name":"Shijun Liao","profile_url":"https://sjtu.academia.edu/ShijunLiao?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_23013785 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="23013785"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 23013785, container: ".js-paper-rank-work_23013785", }); 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$(".js-view-count[data-work-id=23013785]").text(description); $(".js-view-count-work_23013785").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_23013785").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="23013785"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=23013785]'), work: {"id":23013785,"title":"Steady-state resonance of multiple wave interactions in deep water","created_at":"2016-03-08T17:50:48.360-08:00","url":"https://www.academia.edu/23013785/Steady_state_resonance_of_multiple_wave_interactions_in_deep_water?f_ri=2435","dom_id":"work_23013785","summary":"The steady-state resonance of multiple surface gravity waves in deep water was investigated in detail to extend the existing results due to Liao (Commun. Nonlinear steady-state resonance from a quartet to more general and coupled resonant quartets, together with higher-order resonant interactions. The exact nonlinear wave equations are solved without assumptions on the existence of small physical parameters. Multiple steady-state resonant waves are obtained for all the considered cases, and it is found that the number of multiple solutions tends to increase when more wave components are involved in the resonance sets. The topology of wave energy distribution in the parameter space is analysed, and it is found that the steady-state resonant waves indeed form a continuum in the parameter space. The significant roles of the near-resonance and nonlinearity were also revealed. It is found that all of the near-resonant components as a whole contain more and more wave energy, as the wave patterns tend from two dimensions to one dimension, or as the nonlinearity of the steady-state resonant wave system increases. In addition, the linear stability of the steady-state resonant waves is analysed. It is found that the steady-state resonant waves are stable, as long as the disturbance does not resonate with any components of the basic wave. All of these findings are helpful to enrich and deepen our understanding about resonant gravity waves.","downloadable_attachments":[{"id":43525352,"asset_id":23013785,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":44731352,"first_name":"Shijun","last_name":"Liao","domain_name":"sjtu","page_name":"ShijunLiao","display_name":"Shijun Liao","profile_url":"https://sjtu.academia.edu/ShijunLiao?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_16435374 coauthored" data-work_id="16435374" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/16435374/Rotne_Prager_Yamakawa_approximation_for_different_sized_particles_in_application_to_macromolecular_bead_models">Rotne–Prager–Yamakawa approximation for different-sized particles in application to macromolecular bead models</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The Rotne-Prager-Yamakawa (RPY) approximation is a commonly used approach to model the hydrodynamic interactions between small spherical particles suspended in a viscous fluid at a low Reynolds number. However, when the particles overlap,... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_16435374" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The Rotne-Prager-Yamakawa (RPY) approximation is a commonly used approach to model the hydrodynamic interactions between small spherical particles suspended in a viscous fluid at a low Reynolds number. However, when the particles overlap, the RPY tensors lose their positive definiteness, which leads to numerical problems in the Brownian dynamics simulations as well as errors in calculations of the hydrodynamic properties of rigid macromolecules using bead modelling. These problems can be avoided by using regularizing corrections to the RPY tensors; so far, however, these corrections have only been derived for equal-sized particles. Here we show how to generalize the RPY approach to the case of overlapping spherical particles of different radii and present the complete set of mobility matrices for such a system. In contrast to previous ad hoc approaches, our method relies on the direct integration of force densities over the sphere surfaces and thus automatically provides the correct limiting behaviour of the mobilities for the touching spheres and for a complete overlap, with one sphere immersed in the other one. This approach can then be used to calculate hydrodynamic properties of complex macromolecules using bead models with overlapping, different-sized beads, which we illustrate with an example.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/16435374" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="86d209fd6c0ff74e1805a865c9f6e309" rel="nofollow" data-download="{"attachment_id":42478054,"asset_id":16435374,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/42478054/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="35597213" href="https://independent.academia.edu/EligiuszWajnryb">Eligiusz Wajnryb</a><script data-card-contents-for-user="35597213" type="text/json">{"id":35597213,"first_name":"Eligiusz","last_name":"Wajnryb","domain_name":"independent","page_name":"EligiuszWajnryb","display_name":"Eligiusz Wajnryb","profile_url":"https://independent.academia.edu/EligiuszWajnryb?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-16435374">+2</span><div class="hidden js-additional-users-16435374"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://igf.academia.edu/KrzysztofMizerski">Krzysztof Mizerski</a></span></div><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/PawelZuk">Pawel Zuk</a></span></div></div></span><script>(function(){ var popoverSettings = { el: $('.js-work-more-authors-16435374'), placement: 'bottom', hide_delay: 200, html: true, content: function(){ return $('.js-additional-users-16435374').html(); 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container.find('.percentile-widget').removeClass('hidden'); }); });</script></li><li class="js-view-count-work_16435374 InlineList-item InlineList-item--bordered hidden"><div><span><span class="js-view-count view-count u-mr2x" data-work-id="16435374"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 16435374; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=16435374]").text(description); $(".js-view-count-work_16435374").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_16435374").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="16435374"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">4</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="48645" href="https://www.academia.edu/Documents/in/Complex_Fluids">Complex Fluids</a>, <script data-card-contents-for-ri="48645" type="text/json">{"id":48645,"name":"Complex Fluids","url":"https://www.academia.edu/Documents/in/Complex_Fluids?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=16435374]'), work: {"id":16435374,"title":"Rotne–Prager–Yamakawa approximation for different-sized particles in application to macromolecular bead models","created_at":"2015-10-03T14:43:09.971-07:00","url":"https://www.academia.edu/16435374/Rotne_Prager_Yamakawa_approximation_for_different_sized_particles_in_application_to_macromolecular_bead_models?f_ri=2435","dom_id":"work_16435374","summary":"The Rotne-Prager-Yamakawa (RPY) approximation is a commonly used approach to model the hydrodynamic interactions between small spherical particles suspended in a viscous fluid at a low Reynolds number. However, when the particles overlap, the RPY tensors lose their positive definiteness, which leads to numerical problems in the Brownian dynamics simulations as well as errors in calculations of the hydrodynamic properties of rigid macromolecules using bead modelling. These problems can be avoided by using regularizing corrections to the RPY tensors; so far, however, these corrections have only been derived for equal-sized particles. Here we show how to generalize the RPY approach to the case of overlapping spherical particles of different radii and present the complete set of mobility matrices for such a system. In contrast to previous ad hoc approaches, our method relies on the direct integration of force densities over the sphere surfaces and thus automatically provides the correct limiting behaviour of the mobilities for the touching spheres and for a complete overlap, with one sphere immersed in the other one. This approach can then be used to calculate hydrodynamic properties of complex macromolecules using bead models with overlapping, different-sized beads, which we illustrate with an example.","downloadable_attachments":[{"id":42478054,"asset_id":16435374,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":35597213,"first_name":"Eligiusz","last_name":"Wajnryb","domain_name":"independent","page_name":"EligiuszWajnryb","display_name":"Eligiusz Wajnryb","profile_url":"https://independent.academia.edu/EligiuszWajnryb?f_ri=2435","photo":"/images/s65_no_pic.png"},{"id":41115787,"first_name":"Krzysztof","last_name":"Mizerski","domain_name":"igf","page_name":"KrzysztofMizerski","display_name":"Krzysztof Mizerski","profile_url":"https://igf.academia.edu/KrzysztofMizerski?f_ri=2435","photo":"/images/s65_no_pic.png"},{"id":41292267,"first_name":"Pawel","last_name":"Zuk","domain_name":"independent","page_name":"PawelZuk","display_name":"Pawel Zuk","profile_url":"https://independent.academia.edu/PawelZuk?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":48645,"name":"Complex Fluids","url":"https://www.academia.edu/Documents/in/Complex_Fluids?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_22725674" data-work_id="22725674" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/22725674/The_dynamics_of_towed_flexible_cylinders_Part_1_Neutrally_buoyant_elements">The dynamics of towed flexible cylinders Part 1. Neutrally buoyant elements</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The transverse vibrations of a thin, flexible cylinder under nominally constant towing conditions are investigated. The cylinder is neutrally buoyant, of radius uA with a free end and very small bending stiffness. As the cylinder is towed... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_22725674" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The transverse vibrations of a thin, flexible cylinder under nominally constant towing conditions are investigated. The cylinder is neutrally buoyant, of radius uA with a free end and very small bending stiffness. As the cylinder is towed with velocity U , the tangential drag causes the tension in the cylinder to increase from zero a t its free end to a maximum a t the towing point. Transverse vibrations of the cylinder are opposed by a normal viscous drag force. Both the normal and tangential viscous forces can be described conveniently in terms of drag coefficients C, and C,. The ratio C,/C, has a crucial effcct on the motion of the cylinder. The form of thc transverse displacement is found to be greatly influenced by the existence of a critical point a t which the effect of tension in the cylinder is cancelled by a fluid loading term. Matched asymptotic expansions are used to extend the solution across this critical point to apply the downstream boundary condition. Displacements well upstream of the critical point have a simple form, while nearer to the critical point the solution depends on whether the normal drag coefficient C, is greater or less than one-half C,.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/22725674" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="bbd4dfd0ba586b35984a13f5f1bafe49" rel="nofollow" data-download="{"attachment_id":43296276,"asset_id":22725674,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/43296276/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="44204147" href="https://independent.academia.edu/DowlingAnn">Ann Dowling</a><script data-card-contents-for-user="44204147" type="text/json">{"id":44204147,"first_name":"Ann","last_name":"Dowling","domain_name":"independent","page_name":"DowlingAnn","display_name":"Ann Dowling","profile_url":"https://independent.academia.edu/DowlingAnn?f_ri=2435","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_22725674 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="22725674"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 22725674, container: ".js-paper-rank-work_22725674", }); 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$(".js-view-count[data-work-id=22725674]").text(description); $(".js-view-count-work_22725674").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_22725674").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="22725674"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i>  <a class="InlineList-item-text u-positionRelative">3</a>  </div><span class="InlineList-item-text u-textTruncate u-pl9x"><a class="InlineList-item-text" data-has-card-for-ri="48" href="https://www.academia.edu/Documents/in/Engineering">Engineering</a>, <script data-card-contents-for-ri="48" type="text/json">{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="2435" href="https://www.academia.edu/Documents/in/Fluid_Mechanics">Fluid Mechanics</a>, <script data-card-contents-for-ri="2435" type="text/json">{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="80414" href="https://www.academia.edu/Documents/in/Mathematical_Sciences">Mathematical Sciences</a><script data-card-contents-for-ri="80414" type="text/json">{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=22725674]'), work: {"id":22725674,"title":"The dynamics of towed flexible cylinders Part 1. Neutrally buoyant elements","created_at":"2016-03-02T22:43:44.298-08:00","url":"https://www.academia.edu/22725674/The_dynamics_of_towed_flexible_cylinders_Part_1_Neutrally_buoyant_elements?f_ri=2435","dom_id":"work_22725674","summary":"The transverse vibrations of a thin, flexible cylinder under nominally constant towing conditions are investigated. The cylinder is neutrally buoyant, of radius uA with a free end and very small bending stiffness. As the cylinder is towed with velocity U , the tangential drag causes the tension in the cylinder to increase from zero a t its free end to a maximum a t the towing point. Transverse vibrations of the cylinder are opposed by a normal viscous drag force. Both the normal and tangential viscous forces can be described conveniently in terms of drag coefficients C, and C,. The ratio C,/C, has a crucial effcct on the motion of the cylinder. The form of thc transverse displacement is found to be greatly influenced by the existence of a critical point a t which the effect of tension in the cylinder is cancelled by a fluid loading term. Matched asymptotic expansions are used to extend the solution across this critical point to apply the downstream boundary condition. Displacements well upstream of the critical point have a simple form, while nearer to the critical point the solution depends on whether the normal drag coefficient C, is greater or less than one-half C,.","downloadable_attachments":[{"id":43296276,"asset_id":22725674,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":44204147,"first_name":"Ann","last_name":"Dowling","domain_name":"independent","page_name":"DowlingAnn","display_name":"Ann Dowling","profile_url":"https://independent.academia.edu/DowlingAnn?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_74334504" data-work_id="74334504" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/74334504/Convection_in_a_spherical_capacitor">Convection in a spherical capacitor</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Real-time holographic interferometry and shadowgraph visualization are used to study convection in the fluid between two concentric spheres when two distinct buoyancy forces are applied to the fluid. The heated inner sphere has a constant... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_74334504" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Real-time holographic interferometry and shadowgraph visualization are used to study convection in the fluid between two concentric spheres when two distinct buoyancy forces are applied to the fluid. The heated inner sphere has a constant temperature that is greater than the constant temperature of the outer sphere by ΔT. In addition to the usual gravitational buoyancy from temperature induced density differences, another radial buoyancy is imposed by applying an a.c. voltage difference, ΔV between the inner and outer spheres. The resulting electric field gradient in this spherical capacitor produces a central polarization force. The temperature dependence of the dielectric constant results in the second buoyancy force that is especially large near the inner sphere. The normal buoyancy is always present and, within the parameter range explored in our experiment, always results in a large-scale cell that is axisymmetric about the vertical. We have found that this flow becomes unstabl...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/74334504" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="21571c94f62ce322a3c98a55b0cbc2a2" rel="nofollow" data-download="{"attachment_id":82523350,"asset_id":74334504,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82523350/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="37568058" href="https://independent.academia.edu/JHegseth">J. 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The heated inner sphere has a constant temperature that is greater than the constant temperature of the outer sphere by ΔT. In addition to the usual gravitational buoyancy from temperature induced density differences, another radial buoyancy is imposed by applying an a.c. voltage difference, ΔV between the inner and outer spheres. The resulting electric field gradient in this spherical capacitor produces a central polarization force. The temperature dependence of the dielectric constant results in the second buoyancy force that is especially large near the inner sphere. The normal buoyancy is always present and, within the parameter range explored in our experiment, always results in a large-scale cell that is axisymmetric about the vertical. We have found that this flow becomes unstabl...","downloadable_attachments":[{"id":82523350,"asset_id":74334504,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":37568058,"first_name":"J.","last_name":"Hegseth","domain_name":"independent","page_name":"JHegseth","display_name":"J. Hegseth","profile_url":"https://independent.academia.edu/JHegseth?f_ri=2435","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":8067,"name":"Heat Transfer","url":"https://www.academia.edu/Documents/in/Heat_Transfer?f_ri=2435","nofollow":false},{"id":25149,"name":"Holographic Interferometry","url":"https://www.academia.edu/Documents/in/Holographic_Interferometry?f_ri=2435"},{"id":27497,"name":"Instrumentation","url":"https://www.academia.edu/Documents/in/Instrumentation?f_ri=2435"},{"id":63679,"name":"Instability","url":"https://www.academia.edu/Documents/in/Instability?f_ri=2435"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences?f_ri=2435"},{"id":113890,"name":"Power Law","url":"https://www.academia.edu/Documents/in/Power_Law?f_ri=2435"},{"id":126470,"name":"Planets","url":"https://www.academia.edu/Documents/in/Planets?f_ri=2435"},{"id":159371,"name":"Flow Visualization","url":"https://www.academia.edu/Documents/in/Flow_Visualization?f_ri=2435"},{"id":176607,"name":"Polarisation","url":"https://www.academia.edu/Documents/in/Polarisation?f_ri=2435"},{"id":191543,"name":"Polarization","url":"https://www.academia.edu/Documents/in/Polarization?f_ri=2435"},{"id":212475,"name":"Electric Fields","url":"https://www.academia.edu/Documents/in/Electric_Fields?f_ri=2435"},{"id":229390,"name":"Real Time","url":"https://www.academia.edu/Documents/in/Real_Time?f_ri=2435"},{"id":247487,"name":"Temperature Dependence","url":"https://www.academia.edu/Documents/in/Temperature_Dependence?f_ri=2435"},{"id":389578,"name":"Dielectric Constant","url":"https://www.academia.edu/Documents/in/Dielectric_Constant?f_ri=2435"},{"id":692404,"name":"Electric Field Gradient","url":"https://www.academia.edu/Documents/in/Electric_Field_Gradient?f_ri=2435"},{"id":758278,"name":"Large Scale","url":"https://www.academia.edu/Documents/in/Large_Scale?f_ri=2435"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_52473090" data-work_id="52473090" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/52473090/Higgs_mechanism_and_the_added_mass_effect">Higgs mechanism and the added-mass effect</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In the Higgs mechanism, mediators of the weak force acquire masses by interacting with the Higgs condensate, leading to a vector boson mass matrix. On the other hand, a rigid body accelerated through an inviscid, incompressible and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_52473090" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In the Higgs mechanism, mediators of the weak force acquire masses by interacting with the Higgs condensate, leading to a vector boson mass matrix. On the other hand, a rigid body accelerated through an inviscid, incompressible and irrotational fluid feels an opposing force linearly related to its acceleration, via an added-mass tensor. We uncover a striking physical analogy between the two effects and propose a dictionary relating them. The correspondence turns the gauge Lie algebra into the space of directions in which the body can move, encodes the pattern of gauge symmetry breaking in the shape of an associated body and relates symmetries of the body to those of the scalar vacuum manifold. The new viewpoint is illustrated with numerous examples, and raises interesting questions, notably on the fluid analogues of the broken symmetry and Higgs particle, and the field-theoretic analogue of the added mass of a composite body.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/52473090" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="68fd1ec4e6a9858fa5a2eed8873d3963" rel="nofollow" data-download="{"attachment_id":69722928,"asset_id":52473090,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/69722928/download_file?st=MTczNDEzNDEwOCw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="187255775" href="https://independent.academia.edu/SachinPhatak1">Sachin Phatak</a><script data-card-contents-for-user="187255775" type="text/json">{"id":187255775,"first_name":"Sachin","last_name":"Phatak","domain_name":"independent","page_name":"SachinPhatak1","display_name":"Sachin Phatak","profile_url":"https://independent.academia.edu/SachinPhatak1?f_ri=2435","photo":"https://gravatar.com/avatar/5805211befd9ed788a962e2bf7a22189?s=65"}</script></span></span></li><li class="js-paper-rank-work_52473090 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="52473090"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 52473090, container: ".js-paper-rank-work_52473090", }); 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On the other hand, a rigid body accelerated through an inviscid, incompressible and irrotational fluid feels an opposing force linearly related to its acceleration, via an added-mass tensor. We uncover a striking physical analogy between the two effects and propose a dictionary relating them. The correspondence turns the gauge Lie algebra into the space of directions in which the body can move, encodes the pattern of gauge symmetry breaking in the shape of an associated body and relates symmetries of the body to those of the scalar vacuum manifold. The new viewpoint is illustrated with numerous examples, and raises interesting questions, notably on the fluid analogues of the broken symmetry and Higgs particle, and the field-theoretic analogue of the added mass of a composite body.","downloadable_attachments":[{"id":69722928,"asset_id":52473090,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":187255775,"first_name":"Sachin","last_name":"Phatak","domain_name":"independent","page_name":"SachinPhatak1","display_name":"Sachin Phatak","profile_url":"https://independent.academia.edu/SachinPhatak1?f_ri=2435","photo":"https://gravatar.com/avatar/5805211befd9ed788a962e2bf7a22189?s=65"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=2435","nofollow":false},{"id":2435,"name":"Fluid Mechanics","url":"https://www.academia.edu/Documents/in/Fluid_Mechanics?f_ri=2435","nofollow":false},{"id":80414,"name":"Mathematical 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