Diffusion - convection in a porous medium with impervious inclusions at low flow rates

Transport in Porous Media

Volumn 51, Issue 1, 2003, Pages 19-39

  Bǎltean, Diana ^a,b   Lévy, Thérèse ^a   Balint, Stefan ^b  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

^b WEST UNIVERSITY OF TIMISOARA   (Romania)

Author keywords

Convection; Diffusion; Finite elements method; Homogenization; Multiporous media

Indexed keywords

ASYMPTOTIC STABILITY; DIFFUSION; FINITE ELEMENT METHOD; FLOW OF FLUIDS; TRANSPORT PROPERTIES;

ASYMPTOTIC EXPANSION;

POROUS MATERIALS;

CONVECTION; DIFFUSION; FINITE ELEMENT METHOD; HOMOGENIZATION; POROUS MEDIUM; SOLUTE TRANSPORT;

CONVECTION; DIFFUSION; FINITE ELEMENT METHOD; POROUS MEDIUM; SOLUTE TRANSPORT;

EID: 0037399754     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021264017753     Document Type: Article

References (21)

1. Auriault, J. L. and Lewandowska, J.: 1996, Diffusion/adsorption/advection macrotransport in soils, Eur. J. Mech., A/Solids 15(4), 681-704.
2. Aris, R.: 1956, On the dispersion of a solute in a fluid flowing slowly through a tube, Proc. Roy. Soc. London. Series A 235, 67-77.
3. Bakhvalov, N. S. and Panasenko, G.: 1989, Homogenization: Averaging Processes in Periodic Media, Kluwer Academic Publishers, Dordrecht, The Netherlands.
4. Baltean, D.: 1999, Etude de la dispersion d'un contaminant passif dans les milieux multiporeux, PhD Thesis, Université Paris 6, France et Université de l'Ouest de Timisoara, Roumanie. pp. 57-106 and 133-167.
5. Baltean, D., Lévy, T. and Balint, S.: 1998, Transport de masse par convection et diffusion dans un milieu multiporeux, C. R. Acad. Sci. Paris t. 326, Série II b, 821-826.
6. Bensoussan, A., Lions, J. L. and Papanicolaou, G.: 1978, Asymptotic Analysis for Periodic Structures, North Holland, Amsterdam.
7. Brenner, H.: 1980, Dispersion resulting from flow through spatially periodic porous media, Philos. Trans. Roy. Soc. London, Series A 297, 81-133.
8. Chang, H. C.: 1983, Effective diffusion and conduction in two-phase media: a unified approach, AIChE J. 29(5), 846-853.
9. Dullien, F. A. L.: 1979, Porous Media: Fluid Transport and Pore Structure, Academic Press, New York.
10. Ene, H. I. and Polisevski, D.: 1987, Thermal Flow in Porous Media, Reidel, Dordrecht, The Netherlands.
11. Hornung, U. and Jager, W.: 1991, Diffusion, convection, adsorption and reaction of chemicals in porous media, J. Diff. Eq. 92, 199-225.
12. Lévy, T.: 1987, Fluid in porous media and suspensions, in: E. Sanchez-Palencia and A. Zaoui (eds), Homogenization Techniques for Composite Media, Lecture Notes in Physics, Vol. 272, Springer-Verlag, Berlin, pp. 63-119.
13. Lévy, T.: 1990, Homogenization method applied to porous media, in: R. Gatignol and Soubbaramayer (eds), Advances in Kinetic Theory and Continuum Mechanics, Proceedings of a Symposium Held in Honor of Professor Henri Cabannes at the University Pierre et Marie Curie, Paris, France, July 6, pp. 289-299.
14. Mashovets, V. P.: 1951, The effect of nonconducting inclusions upon the conductance of an electrode, J. Appl. Chem. (USSR) 24, 391.
15. Maxwell, J. C.: 1873, Electricity and Magnetism, Clarendon Press, Oxford.
16. Mei, C. C., Auriault, J. L. and Ng, C.-O.: 1996, Some applications of the homogenization theory, in: J. W. Hutchinson and T. Y. Wu (eds), Advances in Applied Mechanics, Vol. 32, Academic Press, New York, pp. 278-345.
17. Quintard, M. and Whitaker, S.: 1993, Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment, Chem. Eng. Sci. 48(14), 2537-2564.
18. Sanchez-Palencia, E.: 1980, Non-Homogenous Media and Vibration Theory, Lecture Notes in Physics, Vol. 127, Springer-Verlag, Berlin.
19. Tartar, L.: 1977, Cours Peccot, Collége de France.
20. Whitaker, S.: 1973, The transport equations for multi-phase system, Chem. Eng. Sci. 28, 139-147.
21. Wodié, J. C.: 1992, Contribution à l'étude des milieux poreux par la méthode de l'homogénéisation, PhD Thesis, Université Paris 6, France, pp. 80-102.