Heat Transfer in a Gray Planar Medium With Linear Anisotropic Scattering

[+] Author and Article Information
A. Dayan, C. L. Tien

Department of Mechanical Engineering, University of California, Berkeley, Calif.

J. Heat Transfer 97(3), 391-396 (Aug 01, 1975) (6 pages) doi:10.1115/1.3450385 History: Received February 18, 1975; Online August 11, 2010


Radiative transfer in an absorbing and linearly-anisotropic scattering gray medium is analyzed. The medium is confined between plane parallel, gray, diffuse walls and contains uniform heat generation. The problem is formulated in terms of coupled integral equations with the intensity-moments as the unknown variables. The set of equations is solved both numerically and in closed form. The closed-form solution consists of exact limiting solutions and approximate general solutions obtained by the kernel-substitution method. The case of combined radiation and conduction is also treated. The results reveal clearly the effects of anisotropic scattering on important characteristics such as heat flux and incident radiant energy per unit area. The approximate closed-form solutions which predict quite well these effects are very simple and convenient to use for engineering calculations.

Copyright © 1975 by ASME
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