Radiative transfer in a two-dimensional rectangular bar geometry with a specularly reflecting boundary-source function expansion solution

The radiative heat transfer problem in an absorbing, emitting, and isotropically scattering two-dimensional medium with emitting and reflecting boundaries is formulated in an integral equation for the source function. The medium is assumed to be non-gray and non-isothermal with uniform radiative properties at a given frequency. The problem is then solved using the source function expansion method, which has been applied to similar problems in the slab geometry and to simpler problems in the two-dimensional bar geometry. Results are presented for the component heat fluxes and for the source function for a range scattering albedo and specular reflectance. The method provides an accurate and computationally fast and accurate solution of spectral quantities.