Transient transport processes in deformable porous media

doi:10.1088/1674-1056/20/11/110507

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110507-110507.doi: 10.1088/1674-1056/20/11/110507

Transient transport processes in deformable porous media

Cs. Mészáros, 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

收稿日期:2011-03-28 修回日期:2011-08-12 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project support by the Hungarian-German Foundation MÖB-DAAD (Grant No. P-MÖB/843).

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

Received:2011-03-28 Revised:2011-08-12 Online:2011-11-15 Published:2011-11-15
Supported by:
Project support by the Hungarian-German Foundation MÖB-DAAD (Grant No. P-MÖB/843).

摘要/Abstract

摘要： 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.

关键词: convection, binary mixtures, relaxation time, matrix polynomials

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.

Key words: convection, binary mixtures, relaxation time, matrix polynomials

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

02.10.Yn (Matrix theory)

Cs. Mészáros, Á. Bálint. Transient transport processes in deformable porous media[J]. 中国物理B, 2011, 20(11): 110507-110507.

Cs. Mėszàros and 'A. Bàlint . Transient transport processes in deformable porous media[J]. Chin. Phys. B, 2011, 20(11): 110507-110507.

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Transient transport processes in deformable porous media

Transient transport processes in deformable porous media

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