Fluid flow through porous media subjected to a boundary condition of variable pressure

Abstract

Analytical solutions defining flow through porous media subjected to a boundary condition of variable pressure are developed in this paper. The traditional solutions of flow through porous media subjected to a boundary condition of constant pressure are special cases of the generalized solutions given herein. The gravitational effect is also considered and a moving–coordinate system with a flow velocity caused by the gravitation is chosen to investigate the form of the wet domain. Applications of the developed theory to permeability measurement in resin–transfer moulding are described.