Analysis of Diffuse-Specular Axisymmetric Surfaces with Application to Parabolic Reflectors

[+] Author and Article Information
J. R. Mahan, J. B. Kingsolver, D. T. Mears

Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Heat Transfer 101(4), 689-694 (Nov 01, 1979) (6 pages) doi:10.1115/1.3451058 History: Received April 16, 1979; Online August 11, 2010


Presented is an exact numerical technique for radiative analysis of diffusely emitting axisymmetric enclosures, passages, and cavities having both diffuse and specular components of reflectivity. The specular components of the required exchange factors are synthesized by chaining together partial exchange factors, defined as the fraction of diffusely distributed radiation leaving one surface and arriving at another after one intervening specular reflection with a reflectivity of unity. The technique is employed to predict the temperature distributions on parabolic reflectors in radiative equilibrium with sources located at their foci. It is demonstrated that, at least for this important geometry, an accurate representation of the exchange factors can be obtained by considering only low order chains.

Copyright © 1979 by ASME
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