The Onset of Convection in a Porous Medium Occupying an Enclosure of Variable Width or Height

[+] Author and Article Information
D. A. Nield

Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand

A. V. Kuznetsov

Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910

J. Heat Transfer 129(12), 1714-1718 (Mar 28, 2007) (5 pages) doi:10.1115/1.2768097 History: Received September 22, 2006; Revised March 28, 2007

An analytical study is made of the onset of convection in a saturated porous medium occupying a two-dimensional enclosure of uniform height, but whose width is slowly varying in an arbitrary manner, or one of uniform width, but whose height is slowly varying in an arbitrary manner. It is found that the variation of width generally has a stabilizing effect, whereas variation of height generally has a destabilizing effect.

Copyright © 2007 by American Society of Mechanical Engineers
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