 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| In English (Mech. Solids): | | 4810 |
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| L.A. Komar and A.L. Svistkov, "Model of Mass Transfer Processes in a Mixture of Continua Consisting of One Deformable and Two Liquid Component," Mech. Solids. 53 (6), 651-663 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
651-663 |
| DOI |
10.3103/S0025654418060067 |
| Title |
Model of Mass Transfer Processes in a Mixture of Continua Consisting of One Deformable and Two Liquid Component |
| Author(s) |
L.A. Komar (Institute of Continuous Media Mechanics of the Ural Branch of RAS ul. Akademika Koroleva 1, Perm, 614013 Russia, komar@icmm.ru)
A.L. Svistkov (Institute of Continuous Media Mechanics of the Ural Branch of RAS ul. Akademika Koroleva 1, Perm, 614013 Russia) |
| Abstract |
The proposed mathematical model is based on the theory of a mixture of interpenetrating continua: deformable (polymer) and two liquid continuums. The governing equations of the model are obtained as consequences of the laws of thermodynamics and the requirements of their invariance to Galilean transformations. Equations describing the motion of liquid components are formulated in coordinates related to the polymer component of the mixture. The need for such a choice arises as a result of the fact that only a polymer can be deformed. When solving problems, it is required to find polymer deformations and investigate the movement of solvents relative to it, including the release of solvents through the polymer boundary into the external environment. Material considered in this mathematical model is capable of working under conditions of finite deformations. The expression of the free energy of the mixture takes into account the energy of interaction of the molecules of the mixture with each other (polymer and two solvents). |
| Keywords |
laws of thermodynamics, mixture theory, polymer, solvent, diffusion, stresses, deformations, chemical potential |
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|
| Received |
15 June 2017 |
| Link to Fulltext |
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