Natural Convection at the Interface Between a Vertical Porous Layer and an Open Space

[+] Author and Article Information
A. Bejan, R. Anderson

Department of Mechanical Engineering, University of Colorado, Boulder, Colo. 80309

J. Heat Transfer 105(1), 124-129 (Feb 01, 1983) (6 pages) doi:10.1115/1.3245530 History: Received January 21, 1981; Online October 20, 2009


This paper examines the interaction by natural convection between a fluid-saturated porous medium and a fluid reservoir separated by a vertical impermeable partition. The two fluid systems are maintained at different temperatures. The analysis is simplified by assuming Pr > > 1 in the fluid reservoir. It is shown analytically that the flow and temperature fields in the boundary layer regime consist of two fluid layers in counterflow. The interface temperature is shown to increase monotonically with altitude. The important dimensionless group which governs the fluid mechanics is B = (kRaK 1/2 ) / (k′ Ra1/4 ), where k, k′ , RaK and Ra are, respectively, the porous medium conductivity, reservoir fluid conductivity, Darcy-modified Rayleigh number based on partition height, and the reservoir Rayleigh number based on partition height. The effect of parameter, B, on the flow, temperature, and heat transfer is documented in the range 0 < B < ∞.

Copyright © 1983 by ASME
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