Influence of Substrate Properties on the Apparent Emittance of an Isothermal Isotropically Scattering Medium

[+] Author and Article Information
B. F. Armaly, H. S. El-Baz

Department of Mechanical and Aerospace Engineering, University of Missouri—Rolla, Rolla, Missouri

J. Heat Transfer 99(2), 208-211 (May 01, 1977) (4 pages) doi:10.1115/1.3450670 History: Received October 04, 1976; Online August 11, 2010


The apparent directional and hemispherical emittances of an isothermal, isotropically scattering, emitting, and absorbing medium that is bounded by a diffusely emitting and reflecting substrate has been investigated. The exponential kernel approximation is used to develop a closed-form algebraic expression which describes the apparent directional and hemispherical emittances as a function of the optical thickness, substrate reflectance and emittance, and scattering albedo of the medium. The approximation also provides a closed-form solution for the intensity and flux distribution within the medium. Comparison, when possible, with exact solutions indicates very good agreement.

Copyright © 1977 by ASME
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