ABSTRACT

The conservation of energy equation was introduced along with relations for the associated radiative flux divergence and the radiative transfer equation. Isotropic scattering is an assumption that provides a substantial reduction in the complexity of the radiative transfer relations with a possible loss of considerable accuracy. Djeumegni et al. further explored these relations to provide analytical expressions for the intensity, flux, and temperature fields in a non-scattering gray medium enclosed between a square internal body and a rectangular two-dimensional enclosure, all with black boundaries. To evaluate the influence of some of the many variables for heat transfer in a radiating gas or other translucent medium, it is helpful to use a simple geometry such as a plane layer of large extent relative to its thickness and with uniform conditions along each boundary. Examination of the radiative behavior of a gray medium provides an understanding of some features of a real medium without the complications that real media introduce.