ABSTRACT

For a translucent medium that is hot and/or is subjected to external radiation, energy is transferred internally by radiation in addition to conduction and convection. The energy equation in a material expresses alocal 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. For radiative transfer in atranslucent material, energy is deposited locally by absorption and leaves by local emission. The net energy deposited by all of the radiative effects can be viewed as alocal energy source for convection and conduction transfer in the same manner as an energy source provided by electrical dissipation or by nuclear or chemical reactions. The energy equation including the radiative energy source is provided in this chapter, and it is to be solved to provide the temperature distribution in the translucent material and other heat transfer characteristics such as local heat žuxes. Chapters 11 and 12 present methods for determining the radiative žux divergence (the radiative source term in the energy equation). This is the quantity of interest in most heat transfer problems requiring consideration of radiation transfer. Chapter 13 then examines solution of the energy equation including the thermal radiation effects.