Jl. Auriault et J. Lewandowska, ON THE CROSS-EFFECTS OF COUPLED MACROSCOPIC TRANSPORT-EQUATIONS IN POROUS-MEDIA, Transport in porous media, 16(1), 1994, pp. 31-52
In this paper, the derivation of macroscopic transport equations for t
his cases of simultaneous heat and water, chemical and water or electr
ical and water fluxes in porous media is presented. Based on the micro
-macro passage using the method of homogenization of periodic structur
es, it is shown that the resulting macroscopic equations reveal zero-v
alued cross-coupling effects for the case of heat and water transport
as well as chemical and water transport. In the case of electrical and
water transport, a nonsymmetrical coupling was found.