The generalized Darcy law of filtration as inquest of Stefan--Maxwell relations for heterogeneous medium
Matematičeskoe modelirovanie, Tome 13 (2001) no. 1, pp. 3-25.

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The methods of non-equilibrium thermodynamics give Stefan–Maxwell relations for a heterogeneous medium and adjusted expression for a full flow of heat. Filtration movement of a multiphase mixture in a pore space of a rigid body are analysed on the basis of these relations (with capillary properties), provided that the pressure in phases do not coincide, and the generalized Darcy law of a filtration, spreading the classic theory of two-phase flow on a common case, is received. The algebraic equations are offered permitting to define factors of relative permeability of phases (for which there are no systematic experimental data in the literature) through binary factors of interphase friction.
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     author = {A. V. Kolesnichenko and V. M. Maksimov},
     title = {The generalized {Darcy} law of filtration as inquest of {Stefan--Maxwell} relations for heterogeneous medium},
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A. V. Kolesnichenko; V. M. Maksimov. The generalized Darcy law of filtration as inquest of Stefan--Maxwell relations for heterogeneous medium. Matematičeskoe modelirovanie, Tome 13 (2001) no. 1, pp. 3-25. http://geodesic.mathdoc.fr/item/MM_2001_13_1_a0/