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Transient transport processes in deformable porous media |
| Cs. Mėszàros and Á. Bálint† |
| Szent István University, Department of Physics and Process Control, Páter K.u.1., Gö dö llö , H-2103, Hungary; Szent István University, Department of Chemistry and Biochemistry, Páter K.u.1., Gö dö llö , H-2103, Hungary |
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Abstract The basic partial differential equations relevant for convection-diffusion and convection-diffusion-wave phenomena are presented and solved analytically by using the MAPLE symbolic computer algebra system. The possible general nonlinear character of the constitutive equation of the convection-discussion process is replaced by a direct posteriori stochastic refinement of its solution represented for Dirichlet-type boundary conditions. A thermodynamic analysis is performed for connecting the relaxation time constants and Jacobi-determinants of deformations at transient transport processes. Finally, a new procedure for general description of coupled transport processes on the basis of the formalism originally developed for convection-free phenomena is presented by matrix analysis methods in the Fourier space.
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Received: 28 March 2011
Revised: 12 August 2011
Accepted manuscript online:
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PACS:
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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47.56+r
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02.10.Yn
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(Matrix theory)
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| Fund: Project support by the Hungarian-German Foundation MÖB-DAAD (Grant No. P-MÖB/843). |
Cite this article:
Cs. Mėszàros and 'A. Bàlint Transient transport processes in deformable porous media 2011 Chin. Phys. B 20 110507
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