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Abstract

Couette flow of two viscous, incompressible, immiscible fluids in a channel bounded by permeable beds is investigated. The lower bed is of finite thickness with high permeability and the upper bed is of infinite thickness with low permeability. The flow in the lower permeable bed is described by Brinkman equation whereas the flow in the upper permeable bed is described by Darcy’s law. The flow between the two beds is governed by Navier-Stokes equations. The velocity field and the mass flow rate are obtained. It is observed that the velocity is in increasing trend with the increment in the Reynolds number.