Fluid mechanics of the interface region between two porous layers

摘要

Flow through and over a fluid-saturated porous layer is investigated. The flow through a porous channel (which is assumed to be governed by Forchheimer equation) is terminated by a porous layer possessing a different structure (the flow through which is governed by the Brinkman equation). At the interface between the physical regions, matching conditions on the velocity and shear stress are imposed. The flow through this configuration admits solutions which are linear combinations of polynomial and exponential functions. The effect of the Reynolds number and the Darcy numbers on the interface velocity is presented in this work.