Effects of Upstream Geometry on Natural Convection of a Darcian Fluid About a Semi-Infinite Inclined Heated Surface

[+] Author and Article Information
C. T. Hsu

Fluids Mechanics Department, TRW Space and Technology Group, Redondo Beach, CA 90278

P. Cheng

Dept. of Mechanical Engineering, University of Hawaii at Manoa, Honolulu, HI 96822

J. Heat Transfer 107(2), 283-292 (May 01, 1985) (10 pages) doi:10.1115/1.3247412 History: Received January 18, 1984; Online October 20, 2009


The method of matched asymptotic expansions is applied to the problem of steady natural convection of a Darcian fluid about a semi-infinite inclined heated surface with a power law variation of wall temperature, i.e., T̂w ax̂λ for x̂≥0 where 0 ≤λ<1. The leading edge of the inclined surface intercepts at an angle, Λ0 , with another impermeable unheated surface extending upstream. The effects of the inclination angle α0 (0 ≤ α0 < < π/2) of the heated surface as well as the upstream geometry at x̂<0 (as specified by Λ0 ) on heat transfer and fluid flow characteristics near the heated surface are investigated. At a given inclination angle α0 , it is found that heat transfer from an upward-facing heated inclined surface is larger than that of a downward-facing heated surface, and that decreasing the intercepting angle (Λ0 ) tends to lower the heat transfer rate. These effects become increasingly pronounced as the Rayleigh number is decreased.

Copyright © 1985 by ASME
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