Two-Dimensional, Combined-Mode Heat Transfer by Conduction, Convection, and Radiation in Emitting, Absorbing, and Scattering Media-Solution by Finite Elements

[+] Author and Article Information
T. J. Chung, J. Y. Kim

Department of Mechanical Engineering, The University of Alabama in Huntsville, Huntsville, Ala. 35899

J. Heat Transfer 106(2), 448-452 (May 01, 1984) (5 pages) doi:10.1115/1.3246692 History: Received January 13, 1983; Online October 20, 2009


This paper is concerned with a two-dimensional analysis of combined mode heat transfer using finite elements. Conduction, convection, and radiation are coupled in the emitting, absorbing, and scattering medium. The standard Galerkin finite elements can be used if the product of Reynolds number and Prandtl number is equal to or less than 1000. It is shown that the two-dimensional heat flux integration can be efficiently performed via Gaussian quadrature applied to isoparametric finite elements where no limitations to optical thicknesses are imposed. Numerical results are demonstrated for a diverging or converging channel. It is observed that the radiation effect on the temperature profile is more significant in the diverging than in the converging channel. Effects of Reynolds number, Prandtl number, albedo, and optical thickness upon temperature distributions are also investigated.

Copyright © 1984 by ASME
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