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HYDRODYNAMIC STABILITY ANALYSIS FOR VARIABLE VISCOUS FLUID FLOW THROUGH A POROUS MEDIUM

Samuel O. Adesanya, J.A. Falade

Abstract


This paper investigates the effect of variable viscosity on the temporal development of small disturbances in a pressure -- driven fluid flow through a channel saturated with porous medium. By assuming a periodic solution of the Squire form, a linearized fourth-order eigenvalue problem is obtained and solved using Adomian decomposition method (ADM). The results of the computation showed that increase in viscosity variation parameter stabilizes the flow while increase in porous permeability parameter has a destabilizing effect on the flow.

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