Interaction of heat transfer by conduction and radiation in a nongray planar medium

This paper considers the problem of the steady energy transfer due to combined effects of conduction and radiation in a medium with frequency dependent properties. The particular problem studied is the one-dimensional energy transfer in an absorbing, emitting, and conducting medium capable of generating heat which is bounded by two black plates. The analysis is restricted to an absorption coefficient x_v of theMilne-Eddington type, i.e., x_v(T)=αv β(T), and the frequency dependence of α(v) is approximated by a rectangular model. Temperature distribution and heat fluxes are reported in the paper for two models of spectral absorption coefficient and are compared with those for the gray case.