Flow through a Porous Wall with Convective Acceleration

Abstract

This paper deals with the flow in very porous media when the convective acceleration of the flow cannot be neglected. The governing equations are taken to be a generalized Darcy's law which takes the convection term into account in the porous region and Euler's equation in the pure fluid region. Two types of flow are investigated in detail: One is a one-dimensional flow streaming into or out of a plane porous wall with a tangential component of velocity to the surface and the other is a two-dimensional stagnation point flow through a porous wall. It is found that vorticity is created when the flow crosses the surface of the wall obliquely. It is also shown that there may be the case in which the usual Darcy's law is inaccurate to describe the flow even when the permeability of the porous medium is very small.