Abstract
The space-averaging formalism of Anderson and Jackson is employed to develop a set of balance laws for a multicomponent mixture. The interactions between the mixture components appear as surface integrals in the averaged (or macroscopic) balance laws. These balance laws are used to study the motion of a porous solid; it is shown that the formulations of Herrmann and of Morland are only approximate in that both of these authors neglected the effects of microinertia. The motion of an incompressible Newtonian fluid through a rigid porous matrix is considered, and the assumptions required to recover Darcy's law are discussed. Finally the averaged balance laws are used to derive a first order theory for the motion of fluid-saturated porous media; it is shown that reasonable approximations lead to the balance laws previously derived by Garg, et al. on heuristic grounds.
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