Effects of Wall Conduction and Darcy Number on Laminar Mixed Convection in a Horizontal Square Porous Channel

[+] Author and Article Information
G. J. Hwang, C. H. Chao

Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, 30043

J. Heat Transfer 114(3), 614-621 (Aug 01, 1992) (8 pages) doi:10.1115/1.2911325 History: Received February 01, 1991; Revised October 01, 1991; Online May 23, 2008


This paper investigates the effects of peripheral wall conduction and Darcy number on laminar mixed convection in the fully developed region of a horizontal square porous channel with a uniform heat input. Because of the combined effects on nonaxisymmetric channel configuration, buoyancy-induced secondary flow, and noninfinite wall conduction parameter, the flow and heat transfer characteristics are greatly affected by the peripherally nonuniform wall temperature distribution. A modified Darcy-Forchheimer-Ergun flow model in the porous medium and a finite-difference method are applied. Secondary flow patterns, isotherms, wall temperature distributions, the friction factor, and the Nusselt number are presented for a flow in the Darcian porous medium (Da→0) to a pure fluid flow (Da → ∞) with Kp = 10−4 − 104 , Gr = 0 − 1010 , and Pr = 0.1, 0.73, 7.2, and 100. Wall temperature distributions and the Nusselt numbers are compared with existing experimental data.

Copyright © 1992 by The American Society of Mechanical Engineers
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