Published 4 issues per year
ISSN Print: 2152-2057
ISSN Online: 2152-2073
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ANALYTICAL INVESTIGATION OF A TIME-DEPENDENT FLUID FLOW IN A COMPOSITE CHANNEL UNDER A STRESS JUMP CONDITION: A GREEN'S FUNCTION APPROACH
ABSTRACT
In this paper, an analytical solution for a time-dependent fully developed laminar fluid flow in a parallel plate channel partially filled with a porous medium and partially with a clear fluid is presented. The Brinkman-extended Darcy model is used to simulate momentum transfer in the porous region. The two regions are coupled by equating the velocity and by considering a shear stress jump condition at the interface. Using Green's function approach, an analytical solution has been obtained. Expressions for velocity fields in both regions are derived for a sudden change in the pressure gradient or (and) by a sudden change in the boundary movement. As a special case, expressions for velocity fields in both regions are obtained due to a sudden change in the pressure gradient.