Effects of anisotropic scattering on radiative heat transfer using the P 1-approximation

Abstract

The P 1-approximation method, along with the δ < 5-Eddington phase function approximation, was used to study radiative heat transfer in absorbing-emitting-scattering media. It is established that the asymmetry factor of the scattering phase function ( g) plays an important role in radiative transfer. The concepts of the effective scattering coefficient and effective optical dimension are suggested to be used in the study of radiative heat transfer. In highly forward scattering media ( g > 0.8), the effect of scattering on radiative heat transfer can be neglected. In a two-dimensional square enclosure, the results of radiative heat flux obtained by the P 1-approximation, using an improved boundary condition, are in good agreement with the numerically exact results of Kim and Lee (Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures, Int. J. Heat Mass Transfer 31, 1711–1721 (1988)).