ABSTRACT

Since the radiative terms are usually in the form of integrals and the conductive terms involve derivatives, the energy balance equations are in the form of nonlinear integrodifferential equations. These equations are not solved readily with currently available mathematical techniques. Numerical techniques have to be used to solve such equations. The scholar is referred to the extensive mathematical literature on numerical methods for these techniques, as they are not discussed here. This chapter focuses on the setting up of the energy balance equations and obtaining physical insight into practical problems. In addition, the assumption in this chapter is that the medium is not participating in the radiative heat transfer.