Analysis of a Hyperbolic Heat Conduction-Radiation Problem With Temperature Dependent Thermal Conductivity

Abstract

This article deals with the analysis of a hyperbolic conduction and radiation heat transfer problem in a planar participating medium. Thermal conductivity of the medium is temperature dependent. Hyperbolic conduction is due to non-Fourier effect. The boundaries of the medium can be either at prescribed temperatures and/or fluxes. With both boundaries insulated, effects of a short pulse internal heat source in the medium are also considered. The problem is analyzed using the lattice Boltzmann method. The finite volume method is employed to compute the radiative information required. Transient temperature distributions in the medium are studied for the effects of various parameters.