Steady solutions of inertial film flow along strongly undulated substrates
Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical Re and separates the flow into a subcritical a...
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Veröffentlicht in: | Physics of fluids (1994) 2011-05, Vol.23 (5), p.052103-052103-13 |
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container_title | Physics of fluids (1994) |
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creator | Nguyen, P.-K. Bontozoglou, V. |
description | Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical
Re
and separates the flow into a subcritical and a supercritical regime. Steep corrugations trigger extensive flow separation in both regimes. However, the separation characteristics-most notably the limiting behavior for very thin and very thick films-vary because of the different significance of capillary forces in the two regimes. For very steep corrugations, two intersecting solution branches co-exist. The present computational predictions are compared favorably with independent experimental observations. |
doi_str_mv | 10.1063/1.3591154 |
format | Article |
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Re
and separates the flow into a subcritical and a supercritical regime. Steep corrugations trigger extensive flow separation in both regimes. However, the separation characteristics-most notably the limiting behavior for very thin and very thick films-vary because of the different significance of capillary forces in the two regimes. For very steep corrugations, two intersecting solution branches co-exist. The present computational predictions are compared favorably with independent experimental observations.</description><identifier>ISSN: 1070-6631</identifier><identifier>EISSN: 1089-7666</identifier><identifier>DOI: 10.1063/1.3591154</identifier><identifier>CODEN: PHFLE6</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Hydrodynamic waves ; Physics</subject><ispartof>Physics of fluids (1994), 2011-05, Vol.23 (5), p.052103-052103-13</ispartof><rights>2011 American Institute of Physics</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c313t-cf49c1cebedfb0f09d4b86d4c33c5e22f1ed3ec2f7d02b13df3627ab03e3dc253</citedby><cites>FETCH-LOGICAL-c313t-cf49c1cebedfb0f09d4b86d4c33c5e22f1ed3ec2f7d02b13df3627ab03e3dc253</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,791,1554,4498,27905,27906</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24257996$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Nguyen, P.-K.</creatorcontrib><creatorcontrib>Bontozoglou, V.</creatorcontrib><title>Steady solutions of inertial film flow along strongly undulated substrates</title><title>Physics of fluids (1994)</title><description>Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical
Re
and separates the flow into a subcritical and a supercritical regime. Steep corrugations trigger extensive flow separation in both regimes. However, the separation characteristics-most notably the limiting behavior for very thin and very thick films-vary because of the different significance of capillary forces in the two regimes. For very steep corrugations, two intersecting solution branches co-exist. The present computational predictions are compared favorably with independent experimental observations.</description><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hydrodynamic waves</subject><subject>Physics</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp1kDtPwzAUhS0EEqUw8A-8MDCk2L6JUw8MqOKpSgzAbDl-ICM3rmxHqP-eVKm6MZ2jq--e4UPompIFJRzu6AIaQWlTn6AZJUtRtZzz031vScU50HN0kfMPIQQE4zP09lGsMjucYxiKj33G0WHf21S8Ctj5sMEuxF-sQuy_cS5pjLDDQ2-GoIo1OA_deB1rvkRnToVsrw45R19Pj5-rl2r9_vy6elhXGiiUSrtaaKptZ43riCPC1N2Sm1oD6MYy5qg1YDVzrSGso2AccNaqjoAFo1kDc3Q77eoUc07WyW3yG5V2khK5lyCpPEgY2ZuJ3aqsVXBJ9drn4wOrWdMKwUfufuKy9kXtRfw_OhmTR2MyOvgDdHRzNw</recordid><startdate>20110501</startdate><enddate>20110501</enddate><creator>Nguyen, P.-K.</creator><creator>Bontozoglou, V.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20110501</creationdate><title>Steady solutions of inertial film flow along strongly undulated substrates</title><author>Nguyen, P.-K. ; Bontozoglou, V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-cf49c1cebedfb0f09d4b86d4c33c5e22f1ed3ec2f7d02b13df3627ab03e3dc253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hydrodynamic waves</topic><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nguyen, P.-K.</creatorcontrib><creatorcontrib>Bontozoglou, V.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nguyen, P.-K.</au><au>Bontozoglou, V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Steady solutions of inertial film flow along strongly undulated substrates</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2011-05-01</date><risdate>2011</risdate><volume>23</volume><issue>5</issue><spage>052103</spage><epage>052103-13</epage><pages>052103-052103-13</pages><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>Steady flow of a liquid film along sinusoidal, steeply corrugated walls is investigated by finite-element simulation of the 2D Navier-Stokes equations. Resonance between the wall and capillary-gravity waves travelling against the flow defines a critical
Re
and separates the flow into a subcritical and a supercritical regime. Steep corrugations trigger extensive flow separation in both regimes. However, the separation characteristics-most notably the limiting behavior for very thin and very thick films-vary because of the different significance of capillary forces in the two regimes. For very steep corrugations, two intersecting solution branches co-exist. The present computational predictions are compared favorably with independent experimental observations.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.3591154</doi></addata></record> |
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source | AIP Journals Complete; AIP Digital Archive; Alma/SFX Local Collection |
subjects | Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic waves Physics |
title | Steady solutions of inertial film flow along strongly undulated substrates |
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