Differential Approximation to Radiative Transfer in Semitransparent Media

[+] Author and Article Information
F. H. Azad

Corporate Research and Development, General Electric Company, Schenectady, N.Y. 12345

J. Heat Transfer 107(2), 478-481 (May 01, 1985) (4 pages) doi:10.1115/1.3247443 History: Received March 20, 1984; Online October 20, 2009


Radiative transfer in a semitransparent medium is treated using the differential approximation. Boundary conditions are formulated to accommodate direction-dependent reflection and refraction at a dielectric interfaces. The approximate results are compared to numerical solution of the exact integral equation. Also, a modification based on the exact formulation of the integrated intensity at the interface is presented that significantly improves the accuracy of the differential approximation in the optically thin regimes.

Copyright © 1985 by ASME
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