An Iterative Solution for Anisotropic Radiative Transfer in a Slab

[+] Author and Article Information
W. H. Sutton, M. N. Özişik

Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh, N. C. 27650

J. Heat Transfer 101(4), 695-698 (Nov 01, 1979) (4 pages) doi:10.1115/1.3451059 History: Received March 26, 1979; Online August 11, 2010


An iterative method is applied to solve the integral form of the equation of radiative transfer for the cases of isotropic scattering, highly forward, and backward anisotropic scattering in plane-parallel slab with reflecting boundaries. Calculations are performed for the values of single scattering albedo from ω = 0.7 to 1.0 where the convergence was previously reported to be poor. It is found that the convergence is significantly improved for most cases if the P-1 approximation of the spherical harmonics method is used for the initial guess. Results are presented for the hemispherical reflectivity and transmissivity of the slab over a wide range of parameters.

Copyright © 1979 by ASME
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