Radiant Heat Transfer From Isothermal Dispersions With Isotropic Scattering

[+] Author and Article Information
R. H. Edwards

Hughes Aircraft Company, Space System Division, El Segundo, Calif.; University of Southern California, Los Angeles, Calif.

R. P. Bobco

Hughes Aircraft Company, El Segundo, Calif.

J. Heat Transfer 89(4), 300-308 (Nov 01, 1967) (9 pages) doi:10.1115/1.3614389 History: Received March 07, 1966; Revised March 20, 1967; Online August 25, 2011


Two approximate methods are presented for making radiant heat-transfer computations from gray, isothermal dispersions which absorb, emit, and scatter isotropically. The integrodifferential equation of radiant transfer is solved using moment techniques to obtain a first-order solution. A second-order solution is found by iteration. The approximate solutions are compared to exact solutions found in the literature of astrophysics for the case of a plane-parallel geometry. The exact and approximate solutions are both expressed in terms of directional and hemispherical emissivities at a boundary. The comparison for a slab, which is neither optically thin nor thick (τ = 1), indicates that the second-order solution is accurate to within 10 percent for both directional and hemispherical properties. These results suggest that relatively simple techniques may be used to make design computations for more complex geometries and boundary conditions.

Copyright © 1967 by ASME
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