Numerical modelling of combined conductive and radiative heat transfer within square enclosure using discrete ordinate method

Abstract

The current study addresses the mathematical modeling aspects of coupled conductive and radiative heat transfer in presence of absorbing, emitting and isotropic scattering gray medium within two-dimensional enclosure. The walls of the enclosure are considered to be opaque, diffuse and gray. The enclosure comprises isothermal vertical walls and insulated horizontal walls. The discrete ordinate method has been employed for modeling the radiative transport equation and the finite volume method has been adopted as the numerical technique. The effect of various parameters, i.e., radiation-conduction parameter, surface emissivity single scattering albedo and optical thickness has been illustrated.