Integral theory of radiative heat transfer with anisotropic scattering and general boundary conditions

An integral formulation of the theory of planar radiative heat transfer with anisotropic scattering and general boundary conditions is proposed in the paper. Explicit expressions for the relevant kernels are obtained, and the correlations between the structure of these kernels and the properties of the bounding surfaces as well as the interaction between the bounding surfaces themselves are investigated for a variety of physical situations. The lines along which exact and approximate analytical solutions can be constructed are indicated and commented upon.