Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures

[+] Author and Article Information
W. A. Fiveland

The Babcock & Wilcox Company, Research and Development Division, Alliance Research Center, Alliance, Ohio 44601

J. Heat Transfer 106(4), 699-706 (Nov 01, 1984) (8 pages) doi:10.1115/1.3246741 History: Received December 07, 1983; Online October 20, 2009


The Sn discrete-ordinates method is used to find numerical solutions in a two-dimensional rectangular enclosure with a gray absorbing, emitting, and isotropically scattering medium. Results are obtained for the S2 , S4 , and S6 approximations that correspond to 4, 12, and 24 flux approximations, respectively, and are compared with exact solutions, numerical Hottel’s zone results, P3 differential approximations, and an approximation method developed by Modest. The S2 approximation solutions were found to be applicable only for several specific cases and are not recommended for general use. The S4 and S6 solutions compare favorably with other methods and can be used to predict radiant intensity and surface heat transfer rate for various surface and optical conditions.

Copyright © 1984 by ASME
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