An Evaluation of the Differential Approximation for Spherically Symmetric Radiative Transfer

[+] Author and Article Information
E. A. Dennar

Division of Engineering, Brown University, Providence, R. I.

M. Sibulkin

Brown University, Providence, R. I.

J. Heat Transfer 91(1), 73-76 (Feb 01, 1969) (4 pages) doi:10.1115/1.3580122 History: Received July 26, 1967; Revised April 22, 1968; Online August 25, 2011


The problem of radiative transfer between concentric spheres enclosing a gray gas has been solved for the case of unequal temperature walls with uniform heat generation in the gas by using a differential approximation based upon half-range moments. Comparison of the results with exact calculations illustrates the deficiencies of the differential approximation for the spherically symmetric case. Large errors exist in the optically thin limit for walls of different temperature. Smaller but appreciable errors are also found at all optical depths for equal temperature walls with heat generation in the gas.

Copyright © 1969 by ASME
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