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ISOTROPIC SCALING LIMITS FOR ONE DIMENSIONAL RADIATIVE HEAT TRANSFER WITH COLLIMATED INCIDENCE

DOI: 10.1615/ICHMT.2004.RAD-4.170
8 pages

Herve T. Kamdem Tagne
Centre de Thermique de Lyon - UMR 5008 CNRS, INSA de Lyon/Université Claude Bernard - Lyon 1, Bât. Sadi Carnot, 69621 Villeurbanne, France

Dominique Baillis
LaMCoS, INSA-Lyon, CNRS UMR 5259,18-20 Rue des Sciences, F69621 Villeurbanne, France

Abstract

As high anisotropic scattering of materials induces difficulty in the resolution of radiative transfer equation, the isotropic assumption or approximate anisotropic phase functions are very useful. Isotropic scattering approximations need to be solved with a scaled optical depth and albedo. Isotropic scaling models involve the transformation of an anisotropic problem to an isotropic one. In this paper, the scaled optical depth and albedo are derived from the zero and first moment calculation of the scaled albedo and phase function product. Comparisons between the isotropic scaling, the anisotropic Henyey-Greenstein phase function approximations and the exact solution are studied. A special emphasis is placed on the limits of the two approximations in the case of one-dimensional radiative heat transfer with collimated incidence.

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