Abstract
The transport equation appropriate for radiant heat-transfer calculations and including the effects of photon scattering is discussed. It is shown that for low temperatures and photon energies (⪡0·5 MeV) the scattering of photons from a Maxwellian gas of free electrons can be described by a relatively simple second order differential operator. A diffusion approximation, employing the same description of scattering, is derived from the transport equation. The qualitative aspects of the solution of both the transport and diffusion equations are discussed in the limit of zero electron temperature. In particular, it is shown that in this limit this description of scattering gives the proper behavior of only a decrease in photon frequency upon scattering. This is in contrast to previous attempts to represent the scattering process by a differential operator which led to the physically incorrect result of some increase in frequency due to scattering from electrons at rest.
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