Stable localized patterns in thin liquid films

Stable localized patterns in thin liquid films

A two-dimensional nonlinear evolution equation is studied which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. It is shown that the equation has a Liapunov functional, and this fact is exp...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review letters 1992-05, Vol.68 (19, M), p.2948-2951
Hauptverfasser: Deissler, Robert J., Oron, Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Fluid Mechanics And Heat Transfer
Liquid thin films
Physics
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2951
container_issue 19, M
container_start_page 2948
container_title Physical review letters
container_volume 68
creator Deissler, Robert J.
Oron, Alexander
description A two-dimensional nonlinear evolution equation is studied which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. It is shown that the equation has a Liapunov functional, and this fact is exploited to demonstrate that the Marangoni effect can stabilize the destabilizing effect of gravity (the Rayleigh-Taylor instability), allowing for the existence of stable localized axisymmetric solutions for a wide range of parameter values. Various properties of these structures are discussed.
doi_str_mv 10.1103/PhysRevLett.68.2948
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_25875848</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>25875848</sourcerecordid><originalsourceid>FETCH-LOGICAL-c479t-b1a205f528dd08642b24f54e5c0405402bcaa8c9d280e62b6e48f0c50922769d3</originalsourceid><addsrcrecordid>eNp9kMtKxDAUhoMozjj6BIp0IeKm9SRN0mQpgzcYULysQ5qmTKWXmSYVxqc3QweZlZtzNt9__sOH0DmGBGNIb1-XG_dmvxfW-4SLhEgqDtAUQybjDGN6iKYAKY4lQDZBJ859AQAmXByjCQagjKV8ipJ3r_PaRnVndF392CJaae9t37qoaiO_DKOu1kNVRGVVN-4UHZW6dvZst2fo8-H-Y_4UL14en-d3i9jQTPo4x5oAKxkRRQGCU5ITWjJqmQEKjALJjdbCyIIIsJzk3FJRgmEgCcm4LNIZuh7vrvpuPVjnVVM5Y-tat7YbnCJMZExQEcCbf0EsmCQSeJYGNB1R03fO9bZUq75qdL9RGNTWqNozqrhQW6MhdbkrGPLGFnuZUWEArnaAdsFh2evWVO6PY0QKFupn6GLEWu20an0ffpOSQNAhOEt_AaI0h80</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1859290673</pqid></control><display><type>article</type><title>Stable localized patterns in thin liquid films</title><source>American Physical Society Journals</source><source>NASA Technical Reports Server</source><creator>Deissler, Robert J. ; Oron, Alexander</creator><creatorcontrib>Deissler, Robert J. ; Oron, Alexander</creatorcontrib><description>A two-dimensional nonlinear evolution equation is studied which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. It is shown that the equation has a Liapunov functional, and this fact is exploited to demonstrate that the Marangoni effect can stabilize the destabilizing effect of gravity (the Rayleigh-Taylor instability), allowing for the existence of stable localized axisymmetric solutions for a wide range of parameter values. Various properties of these structures are discussed.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.68.2948</identifier><identifier>PMID: 10045536</identifier><identifier>CODEN: PRLTAO</identifier><language>eng</language><publisher>Legacy CDMS: American Physical Society</publisher><subject>Condensed matter: structure, mechanical and thermal properties ; Exact sciences and technology ; Fluid Mechanics And Heat Transfer ; Liquid thin films ; Physics ; Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</subject><ispartof>Physical review letters, 1992-05, Vol.68 (19, M), p.2948-2951</ispartof><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c479t-b1a205f528dd08642b24f54e5c0405402bcaa8c9d280e62b6e48f0c50922769d3</citedby><cites>FETCH-LOGICAL-c479t-b1a205f528dd08642b24f54e5c0405402bcaa8c9d280e62b6e48f0c50922769d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2862,2863,27903,27904</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=5298567$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/10045536$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Deissler, Robert J.</creatorcontrib><creatorcontrib>Oron, Alexander</creatorcontrib><title>Stable localized patterns in thin liquid films</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>A two-dimensional nonlinear evolution equation is studied which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. It is shown that the equation has a Liapunov functional, and this fact is exploited to demonstrate that the Marangoni effect can stabilize the destabilizing effect of gravity (the Rayleigh-Taylor instability), allowing for the existence of stable localized axisymmetric solutions for a wide range of parameter values. Various properties of these structures are discussed.</description><subject>Condensed matter: structure, mechanical and thermal properties</subject><subject>Exact sciences and technology</subject><subject>Fluid Mechanics And Heat Transfer</subject><subject>Liquid thin films</subject><subject>Physics</subject><subject>Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><sourceid>CYI</sourceid><recordid>eNp9kMtKxDAUhoMozjj6BIp0IeKm9SRN0mQpgzcYULysQ5qmTKWXmSYVxqc3QweZlZtzNt9__sOH0DmGBGNIb1-XG_dmvxfW-4SLhEgqDtAUQybjDGN6iKYAKY4lQDZBJ859AQAmXByjCQagjKV8ipJ3r_PaRnVndF392CJaae9t37qoaiO_DKOu1kNVRGVVN-4UHZW6dvZst2fo8-H-Y_4UL14en-d3i9jQTPo4x5oAKxkRRQGCU5ITWjJqmQEKjALJjdbCyIIIsJzk3FJRgmEgCcm4LNIZuh7vrvpuPVjnVVM5Y-tat7YbnCJMZExQEcCbf0EsmCQSeJYGNB1R03fO9bZUq75qdL9RGNTWqNozqrhQW6MhdbkrGPLGFnuZUWEArnaAdsFh2evWVO6PY0QKFupn6GLEWu20an0ffpOSQNAhOEt_AaI0h80</recordid><startdate>19920511</startdate><enddate>19920511</enddate><creator>Deissler, Robert J.</creator><creator>Oron, Alexander</creator><general>American Physical Society</general><scope>CYE</scope><scope>CYI</scope><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19920511</creationdate><title>Stable localized patterns in thin liquid films</title><author>Deissler, Robert J. ; Oron, Alexander</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c479t-b1a205f528dd08642b24f54e5c0405402bcaa8c9d280e62b6e48f0c50922769d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>Condensed matter: structure, mechanical and thermal properties</topic><topic>Exact sciences and technology</topic><topic>Fluid Mechanics And Heat Transfer</topic><topic>Liquid thin films</topic><topic>Physics</topic><topic>Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Deissler, Robert J.</creatorcontrib><creatorcontrib>Oron, Alexander</creatorcontrib><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deissler, Robert J.</au><au>Oron, Alexander</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stable localized patterns in thin liquid films</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>1992-05-11</date><risdate>1992</risdate><volume>68</volume><issue>19, M</issue><spage>2948</spage><epage>2951</epage><pages>2948-2951</pages><issn>0031-9007</issn><eissn>1079-7114</eissn><coden>PRLTAO</coden><abstract>A two-dimensional nonlinear evolution equation is studied which describes the three-dimensional spatiotemporal behavior of the air-liquid interface of a thin liquid film lying on the underside of a cooled horizontal plate. It is shown that the equation has a Liapunov functional, and this fact is exploited to demonstrate that the Marangoni effect can stabilize the destabilizing effect of gravity (the Rayleigh-Taylor instability), allowing for the existence of stable localized axisymmetric solutions for a wide range of parameter values. Various properties of these structures are discussed.</abstract><cop>Legacy CDMS</cop><pub>American Physical Society</pub><pmid>10045536</pmid><doi>10.1103/PhysRevLett.68.2948</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0031-9007
ispartof Physical review letters, 1992-05, Vol.68 (19, M), p.2948-2951
issn 0031-9007
1079-7114
language eng
recordid cdi_proquest_miscellaneous_25875848
source American Physical Society Journals; NASA Technical Reports Server
subjects Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Fluid Mechanics And Heat Transfer
Liquid thin films
Physics
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
title Stable localized patterns in thin liquid films
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T16%3A50%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Stable%20localized%20patterns%20in%20thin%20liquid%20films&rft.jtitle=Physical%20review%20letters&rft.au=Deissler,%20Robert%20J.&rft.date=1992-05-11&rft.volume=68&rft.issue=19,%20M&rft.spage=2948&rft.epage=2951&rft.pages=2948-2951&rft.issn=0031-9007&rft.eissn=1079-7114&rft.coden=PRLTAO&rft_id=info:doi/10.1103/PhysRevLett.68.2948&rft_dat=%3Cproquest_cross%3E25875848%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1859290673&rft_id=info:pmid/10045536&rfr_iscdi=true