Differential Approximation of Radiative Heat Transfer in a Gray Medium: Axially Symmetric Radiation Field

[+] Author and Article Information
J. Higenyi, Y. Bayazitoǧlu

Mechanical Engineering Department, Rice University, Houston, TX 77001

J. Heat Transfer 102(4), 719-723 (Nov 01, 1980) (5 pages) doi:10.1115/1.3244379 History: Received September 13, 1979; Online October 20, 2009


The differential approximation is used to analyze an axially symmetric radiation field for a gray medium within a finite, cylindrical enclosure. The medium emits, absorbs, and isotropically scatters radiant energy and is subject to a specified heat generation. Numerical solutions are obtained for the radiative heat flux and emissive power distributions. It is found that the accuracy of the differential approximation is of the same order for the axially symmetric and one-dimensional problems.

Copyright © 1980 by ASME
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