Exchange of stabilities for surface tension driven convection
An analytical proof is presented showing that the marginal or neutral state for surface-tension-driven convection in infinite liquid layers is stationary so that the principle of exchange of stabilities is valid. The method of Green's functions is used to reduce the eigenvalue problem to a sing...
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| Veröffentlicht in: | Chemical engineering science 2004-11, Vol.59 (21), p.4433-4436 |
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| container_title | Chemical engineering science |
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| creator | Vrentas, J.S. Vrentas, C.M. |
| description | An analytical proof is presented showing that the marginal or neutral state for surface-tension-driven convection in infinite liquid layers is stationary so that the principle of exchange of stabilities is valid. The method of Green's functions is used to reduce the eigenvalue problem to a single differential equation with an integral boundary condition. The proof is carried out using the adjoint version of this eigenvalue problem. |
| doi_str_mv | 10.1016/j.ces.2004.07.004 |
| format | Article |
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The method of Green's functions is used to reduce the eigenvalue problem to a single differential equation with an integral boundary condition. The proof is carried out using the adjoint version of this eigenvalue problem.</description><subject>Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization</subject><subject>Applied sciences</subject><subject>Chemical engineering</subject><subject>Convective transport</subject><subject>Exact sciences and technology</subject><subject>Fluid mechanics</subject><subject>Interface</subject><subject>Stability</subject><subject>Surface tension gradients</subject><subject>Transport processes</subject><issn>0009-2509</issn><issn>1873-4405</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWD9-gLe96G3XyX5kU8SDlPoBBS96DtlkoinbbM1si_57U1rw5ullhmdmmIexKw4FBy5ul4VBKkqAuoC2SHHEJly2VV7X0ByzCQBM87KB6Sk7I1qmsm05TNj9_Nt86vCB2eAyGnXnez96pMwNMaNNdNpgNmIgP4TMRr_FkJkhbNGMqXPBTpzuCS8Pec7eH-dvs-d88fr0MntY5KZqxJgjct6ITkotKqkr4ayVdtrVjQRpZenKrgIHpYRWNlhPO9eZxnIBpUMhQUN1zm72e9dx-NogjWrlyWDf64DDhlQpa5H4NoF8D5o4EEV0ah39SscfxUHtRKmlSqLUTpSCVqVIM9eH5ZqM7l3UwXj6GxS8ksli4u72HKZPtx6jIuMxGLQ-Jh3KDv6fK7-go31A</recordid><startdate>20041101</startdate><enddate>20041101</enddate><creator>Vrentas, J.S.</creator><creator>Vrentas, C.M.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20041101</creationdate><title>Exchange of stabilities for surface tension driven convection</title><author>Vrentas, J.S. ; Vrentas, C.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c356t-ee1156b88a638a36fdd8d9b45808d82f2b30f0280785e49bfbc5d1602fe680a03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Applications of mathematics to chemical engineering. 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Optimization</topic><topic>Applied sciences</topic><topic>Chemical engineering</topic><topic>Convective transport</topic><topic>Exact sciences and technology</topic><topic>Fluid mechanics</topic><topic>Interface</topic><topic>Stability</topic><topic>Surface tension gradients</topic><topic>Transport processes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vrentas, J.S.</creatorcontrib><creatorcontrib>Vrentas, C.M.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Chemical engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vrentas, J.S.</au><au>Vrentas, C.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exchange of stabilities for surface tension driven convection</atitle><jtitle>Chemical engineering science</jtitle><date>2004-11-01</date><risdate>2004</risdate><volume>59</volume><issue>21</issue><spage>4433</spage><epage>4436</epage><pages>4433-4436</pages><issn>0009-2509</issn><eissn>1873-4405</eissn><coden>CESCAC</coden><abstract>An analytical proof is presented showing that the marginal or neutral state for surface-tension-driven convection in infinite liquid layers is stationary so that the principle of exchange of stabilities is valid. 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| ispartof | Chemical engineering science, 2004-11, Vol.59 (21), p.4433-4436 |
| issn | 0009-2509 1873-4405 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization Applied sciences Chemical engineering Convective transport Exact sciences and technology Fluid mechanics Interface Stability Surface tension gradients Transport processes |
| title | Exchange of stabilities for surface tension driven convection |
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