An Iterative Solution for Anisotropic Radiative Transfer in a Slab

Autor: Sutton, W. H., O¨zis¸ik, M. N.
Zdroj: Journal of Heat Transfer; November 1979, Vol. 101 Issue: 4 p695-698, 4p
Abstrakt: 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.
Databáze: Supplemental Index