Influence of Substrate Properties on the Apparent Emittance of an Isothermal Isotropically Scattering Medium
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.
B. F. Armaly and H. S. El-Baz, "Influence of Substrate Properties on the Apparent Emittance of an Isothermal Isotropically Scattering Medium," Journal of Heat Transfer, American Society of Mechanical Engineers (ASME), Jan 1977.
The definitive version is available at https://doi.org/10.1115/1.3450670
Mechanical and Aerospace Engineering
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© 1977 American Society of Mechanical Engineers (ASME), All rights reserved.