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Poiseuille flow in a fluid overlying a porous medium

Published online by Cambridge University Press:  30 April 2008

ANTONY A. HILL  and
BRIAN STRAUGHAN
ANTONY A. HILL
Affiliation:
Department of Mathematics, University of Durham, Durham, DH1 3LE, UK
BRIAN STRAUGHAN
Affiliation:
Department of Mathematics, University of Durham, Durham, DH1 3LE, UK
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Abstract

This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid. A three-layer configuration is adopted. Namely, a Newtonian fluid overlying a Brinkman porous transition layer, which in turn overlies a layer of Darcy-type porous material. It is shown that there are two modes of instability corresponding to the fluid and porous layers, respectively. The key parameters which affect the stability characteristics of the system are the depth ratio between the porous and fluid layers and the transition layer depth.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 603 , 25 May 2008 , pp. 137 - 149
Copyright
Copyright © Cambridge University Press 2008

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