Unsteady, Combined Radiation and Conduction in an Absorbing, Scattering, and Emitting Medium

[+] Author and Article Information
K. C. Weston, J. L. Hauth

University of Tulsa, Tulsa, Okla.

J. Heat Transfer 95(3), 357-364 (Aug 01, 1973) (8 pages) doi:10.1115/1.3450064 History: Received September 21, 1972; Online August 11, 2010


The transient cooldown of a gray, absorbing, isotropic scattering, emitting, and conducting medium bounded by gray, diffusely emitting and reflecting parallel plates is considered. Numerical solutions are obtained for the initial boundary-value problem with a discontinuous decrease in temperature at one boundary. The quasi-steady equation of radiative transfer is solved using Gaussian quadrature and a matrix eigenvector technique together with explicit numerical solution of the unsteady energy equation. Temperature and energy flux distributions are presented for variations of optical thickness, boundary emissivity, albedo, and conduction–radiation parameter.

Copyright © 1973 by ASME
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