%0 Journal Article %A Massarani, Giulio %A Telles, Affonso Silva %D 2001 %I Begell House %N 4 %P 12 %R 10.1615/JPorMedia.v4.i4.30 %T An Extended Capillary Model for Flows in Porous Media %U https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,3ef5533d7b1b1ad7,2d275cb66df73480.html %V 4 %X This article presents results on a general capillary model employed to determine the constitutive equations that govern the motion of fluids in porous media. Results for the resistive force are based on the material functions of non-Newtonian fluids in viscometric flows inside capillary tubing. A general equation valid for all types of simple fluids is presented, first as applicable to isotropic media, and then generalized to the case of symmetric anisotropy. The normal stresses appear in the expression for the resistive force in a term involving the Deborah numbers. Constitutive equations, in terms of the same viscometric functions, are also obtained for the extra stress present in the general equations of motion. %8 2001-12-01