4.7 Article

Analytical approach to the Darcy-Lapwood-Brinkman equation

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 196, Issue 2, Pages 679-685

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.07.003

Keywords

porous media; Darcy-Lapwood-Brinkman equation; exact solutions

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Three exact solutions are obtained for flow through porous media, as governed by the Darcy-Lapwood-Brinkman model, for a given vorticity distribution. The resulting flow fields are identified as reversing flows; stagnation point flows; and flows over a porous flat plate with blowing or suction. Dependence of the flow Reynolds number on the permeability of the flow through the porous medium is illustrated. (C) 2007 Elsevier Inc. All rights reserved.

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