Natural Convection in a Horizontal Porous Medium Subjected to an End-to-End Temperature Difference

[+] Author and Article Information
A. Bejan, C. L. Tien

Department of Mechanical Engineering, University of California, Berkeley, Cal.

J. Heat Transfer 100(2), 191-198 (May 01, 1978) (8 pages) doi:10.1115/1.3450780 History: Received November 03, 1977; Online August 11, 2010


Natural convection in a porous medium filling a slender horizontal space with an end-to-end temperature difference is studied analytically. The end-to-end temperature difference gives rise to a horizontal counterflow pattern augmenting the heat transfer rate through the porous medium. Two basic geometries are considered: horizontal layer confined between two adiabatic and impermeable parallel plates, and horizontal cylinder surrounded by an adiabatic and impermeable cylindrical surface. Nusselt number relations are derived in terms of the Rayleigh number and the cavity aspect ratio. The end-wall permeability is shown to affect the heat transfer rate through the medium.

Copyright © 1978 by ASME
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