Multi-Dimensional Radiative Transfer in Nongray Gases—General Formulation and the Bulk Radiative Exchange Approximation

[+] Author and Article Information
S. S. Tsai

Department of Nuclear Energy, Brookhaven National Laboratory, Upton, N. Y. 11973

S. H. Chan

Energetics Department, University of Wisconsin, Milwaukee, WI 53201

J. Heat Transfer 100(3), 486-491 (Aug 01, 1978) (6 pages) doi:10.1115/1.3450835 History: Received February 10, 1977; Online August 11, 2010


The present paper presents a general formulation of the radiative heat flux and its divergence for multi-dimensional radiative problems involving nongray absorbing-emitting gases. The expressions obtained are in terms of total band absorptance rather than the spectral absorption coefficient. Thus the frequency integration is eliminated, and the expressions are more compact. They avoid the necessity of detailed spectral absorption coefficient data for radiative transfer computations. Also presented is the bulk radiative exchange approximation together with its refinement. It is proposed to circumvent the mathematical complexity inherently imbedded in nongray multidimensional problems. The approximation, which is valid in the optically thin and thick limits, is found to be general and useful, not only because of its simplicity, but also because of its accuracy in all optical conditions.

Copyright © 1978 by ASME
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