HYPERBOLIC HEAT CONDUCTION WITH RADIATION IN AN ABSORBING AND EMITTING MEDIUM

Abstract

Hyperbolic heat conduction with radiation is considered in a finite absorbing and emitting slab for the cases of a constant and a pulsed heat flux boundary condition. For small optical thicknesses, the wave nature of hyperbolic heat conduction gives rise to a thermal front propagating from the back surface which results from the heating of the back surface by radiation through the medium. MacCormack's explicit predictor-corrector scheme is used to solve the problem, and the results from the hyperbolic solutions are compared to those obtained from the parabolic equation.