DOI: 10.1615/ICHMT.2004.RAD-4
ISBN Print: 978-1-56700-207-2
ISSN Online: 2642-5629
ISSN Flash Drive: 2642-5661
ISOTROPIC SCALING LIMITS FOR ONE DIMENSIONAL RADIATIVE HEAT TRANSFER WITH COLLIMATED INCIDENCE
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.