Prandtl Number Effect on Bénard Convection in Porous Media

[+] Author and Article Information
J. G. Georgiadis, I. Catton

Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024

J. Heat Transfer 108(2), 284-290 (May 01, 1986) (7 pages) doi:10.1115/1.3246917 History: Received February 25, 1985; Online October 20, 2009


A numerical study of buoyancy-driven two-dimensional convection in a fluid-saturated horizontal porous layer is reported emphasizing the nonlinear inertial effect on heat transport. The Forchheimer–Brinkman–Darcy–Boussinesq formulation and a single energy equation for the volume-average temperature are used. Closure to the wavenumber selection problem is sought through a criterion based on the Glansdorff and Prigogine theory of nonequilibrium thermodynamics. Good agreement with laboratory data and the analogy with the Rayleigh–Bénard problem are corroborative facts which justify similar non-Darcian formulations and demonstrate the role of the quadratic inertial terms in decreasing the mean convective heat transfer across the layer.

Copyright © 1986 by ASME
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