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A poroelastic medium saturated by a two-phase capillary fluid
By Landau’s approach developed for description of superfluidity of 2 He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and whi...
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Published in: | Continuum mechanics and thermodynamics 2014-09, Vol.26 (5), p.619-638 |
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creator | Shelukhin, V. V. |
description | By Landau’s approach developed for description of superfluidity of
2
He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and which are consistent with the Galilean transformations. In contrast to Biot’ linear theory, the equations derived allow for finite deformations. As the acoustic analysis reveals, there is one more longitudinal wave in comparison with the poroelastic medium saturated with a one-phase fluid. We prove that such a result is due to surface tension. |
doi_str_mv | 10.1007/s00161-013-0321-x |
format | article |
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He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and which are consistent with the Galilean transformations. In contrast to Biot’ linear theory, the equations derived allow for finite deformations. As the acoustic analysis reveals, there is one more longitudinal wave in comparison with the poroelastic medium saturated with a one-phase fluid. We prove that such a result is due to surface tension.</description><identifier>ISSN: 0935-1175</identifier><identifier>EISSN: 1432-0959</identifier><identifier>DOI: 10.1007/s00161-013-0321-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Acoustic properties ; Analysis ; Capillarity ; Classical and Continuum Physics ; Computational fluid dynamics ; Engineering Thermodynamics ; Environmental law ; Fluid flow ; Fluids ; Heat and Mass Transfer ; Laws, regulations and rules ; Mathematical analysis ; Mathematical models ; Original Article ; Physics ; Physics and Astronomy ; Structural Materials ; Superfluidity ; Surface tension ; Theoretical and Applied Mechanics ; Thermodynamics ; Transformations (mathematics)</subject><ispartof>Continuum mechanics and thermodynamics, 2014-09, Vol.26 (5), p.619-638</ispartof><rights>Springer-Verlag Berlin Heidelberg 2013</rights><rights>COPYRIGHT 2014 Springer</rights><rights>Springer-Verlag Berlin Heidelberg 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c421t-5a1a3a91ddbb6232af0a4bd3d77d2800b5c2b6c8d5192a304df261b24d449f8a3</citedby><cites>FETCH-LOGICAL-c421t-5a1a3a91ddbb6232af0a4bd3d77d2800b5c2b6c8d5192a304df261b24d449f8a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Shelukhin, V. V.</creatorcontrib><title>A poroelastic medium saturated by a two-phase capillary fluid</title><title>Continuum mechanics and thermodynamics</title><addtitle>Continuum Mech. Thermodyn</addtitle><description>By Landau’s approach developed for description of superfluidity of
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He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and which are consistent with the Galilean transformations. In contrast to Biot’ linear theory, the equations derived allow for finite deformations. As the acoustic analysis reveals, there is one more longitudinal wave in comparison with the poroelastic medium saturated with a one-phase fluid. We prove that such a result is due to surface tension.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00161-013-0321-x</doi><tpages>20</tpages></addata></record> |
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subjects | Acoustic properties Analysis Capillarity Classical and Continuum Physics Computational fluid dynamics Engineering Thermodynamics Environmental law Fluid flow Fluids Heat and Mass Transfer Laws, regulations and rules Mathematical analysis Mathematical models Original Article Physics Physics and Astronomy Structural Materials Superfluidity Surface tension Theoretical and Applied Mechanics Thermodynamics Transformations (mathematics) |
title | A poroelastic medium saturated by a two-phase capillary fluid |
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