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Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries

Published online by Cambridge University Press:  26 April 2006

D. A. Nield ,
S. L. M. Junqueira  and
J. L. Lage
D. A. Nield
Affiliation:
Department of Engineering Science, University of Auckland, Auckland, New Zealand
S. L. M. Junqueira
Affiliation:
Mechanical Enginering Department, Southern Methodist University, University, Dallas, TX 75275-0337, USA
J. L. Lage
Affiliation:
Mechanical Enginering Department, Southern Methodist University, University, Dallas, TX 75275-0337, USA
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Abstract

We present a fresh theoretical analysis of fully developed forced convection in a fluid-saturated porous-medium channel bounded by parallel plates, with imposed uniform heat flux or isothermal condition at the plates. As a preliminary step, we obtain an ‘exact’ solution of the Brinkman-Forchheimer extension of Darcy's momentum equation for flow in the channel. This uniformly valid solution permits a unified treatment of forced convection heat transfer, provides the means for a deeper explanation of the physical phenomena, and also leads to results which are valid for highly porous materials of current practical importance.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 322 , 10 September 1996 , pp. 201 - 214
Copyright
© 1996 Cambridge University Press

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