Nongray Radiative Gas Analyses Using the S-N Discrete Ordinates Method

[+] Author and Article Information
T. K. Kim

Energy Laboratory, Korea Institute of Energy and Resources, Dae Jeon, South Korea

J. A. Menart, H. S. Lee

Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455

J. Heat Transfer 113(4), 946-952 (Nov 01, 1991) (7 pages) doi:10.1115/1.2911226 History: Received January 03, 1990; Revised March 08, 1991; Online May 23, 2008


The S-N discrete ordinates method is applied to analyze radiative heat transfer in nongray gases. Spectral correlation between the terms in the equation of transfer is considered for black or nearly nonreflecting walls. Formulations to apply the S-N method using a narrow-band or the exponential wide-band model are presented. The net radiative wall heat fluxes and the radiative source distributions are obtained for uniform, parabolic, and boundary layer type temperature profiles, as well as for a parabolic concentration profile. The narrow- and wide-band nongray solutions are compared with gray-band approximations using the same band models. The computational speed of the gray-band approximation is obtained at the expense of accuracy in the internal fluxes and radiative source distributions. The wall radiative flux predictions by the gray-band approximation are satisfactory.

Copyright © 1991 by The American Society of Mechanical Engineers
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