Radiation transfer in isotropically scattering, rectangular enclosures

Radiative heat transfer in absorbing, emitting, isotropically scattering, gray, two-dimensional rectangular regions having an emitting boundary and spacially distributed energy sources is solved by both the collocation and the Galerkin methods. Using the expressions given in this work, the quantities, such as the incident radiation, the radiation heat flux, and the divergence of the radiation heat flux anywhere in the medium, can be determined to a high degree of accuracy for all values of the single scattering albedo, from small to moderately large values of horizontal and vertical optical dimensions of the enclosure. Results are presented for representative cases, to illustrate the application of the method. A parameter study is made to show the effects of the single scattering albedo on the incident radiation and the heat flux.