Radiative Heat Transfer in Translucent Media

Abstract

Heat exchange processes in objects heated by radiation are characterized by the fact that the effect from the radiation flux depends not only on its magnitude, but also on the qualitative characteristics of the material in relation to the radiation, namely, its possible partial transparency (semi-transparency). This effect manifests itself in the volumetric nature of heating, and such integral characteristics as the reflectivity and emissivity of the heated object depend on the volumetric physical properties of the material in relation to the acting radiation and the temperature field formed by it. The thermal state of the structural elements exhibiting the property of partial transparency is determined by the adjoint system of equations containing the energy equation, in the particular case of a condensed medium (material)—the heat conductivity equation, and the integro-differential equation of radiation transfer. In this paper, one of the approximate methods for solving the radiation transfer equation and some of its applications are considered.