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Fluid Mechanics and Heat Transfer in the Interface Region Between a Porous Medium and a Fluid Layer: A Boundary Layer Solution

Volume 2, Issue 3, 1999, pp. 309-321
DOI: 10.1615/JPorMedia.v2.i3.70
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ABSTRACT

This article presents a new analytical solution for the fully developed forced convection in a composite channel bounded by two infinite fixed plates. The upper part of the channel is occupied by a fluid-saturated porous medium while the lower part is occupied by a clear fluid. A uniform heat flux is imposed at the lower plate, while the upper plate is adiabatic. The Brinkman-Forchheimer-extended Darcy equation is utilized as a momentum equation for the porous region. Utilizing the boundary layer technique, analytical solutions for the velocity and temperature distributions, as well as for the Nusselt number, are obtained.

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