A Discrete Transfer Method for Radiative Transfer through Anisotropically Scattering Media

Abstract

A discrete transfer formulation for analyzing radiative heat transfer through participating medium with highly anisotropic scattering phase function is presented. This formulation used the finite volume method to evaluate integral of the radiative heat transfer problem. Hence, participating media anisotropic scattering phase function along a centre scattered sub-solid angle of the discrete transfer direction is defined by an average on the incident sub-solid angle. Numerical simulations on the efficiency of the proposed discrete transfer formulation for one-dimensional radiative heat transfer through participating, and anisotropic scattering medium under diffuse incidence is carried out. Results indicate that present discrete transfer radiative heat fluxes, transmittance and reflectance predictions have accuracy comparable to available analytical and numerical literature benchmark solutions. Excellent agreements are noted for different anisotropic scattering phase functions.