ABSTRACT
To obtain the radiative contribution to the energy equation, radiative transfer relations must be provided. Because some of the radiative terms depend on temperature, the radiative transfer equation (RTE) must be solved simultaneously with the energy equation to determine the temperature distribution and radiating characteristics. This equation contains a first derivative of intensity with respect to the path coordinate, so a solution requires one boundary condition. The energy equation in the material expresses the local balance of energy arriving by all modes of energy transfer, internal energy stored, energy generated by local sources, and energy leaving by all modes of transfer. The radiative boundary conditions for solving the RTE throughout the medium are in addition to the thermal boundary conditions that must be specified to solve the energy equation. The RTE also includes augmentation of the radiation intensity by emission and scattering into the path direction.
