Abstract
The analogy between the kinetic theory of gases and photon gas dynamics (see [1], for instance) means that many qualitative results obtained in kinetic theory can be extended to photon gas dynamics. This includes the behavior of a radiating optically thick gas near solid surfaces. It is known that in an optically thick gas the radiative heat conduction approximation is inapplicable at distances of the order of the mean free path of the radiation from the surface of a body [1, 2]. The behavior of a photon gas near a surface can be predicted on the basis of the complete radiative transfer equation. In the present paper the problem of such wall layers in an optically thick gas (which have much in common with the well-known Knudsen layers) is solved in the approximation of a gray gas in local thermodynamic equilibrium. For simplicity only the steady-state case is considered. Expressions for the temperature jumps at the surface in a wide range of gas temperatures are obtained.
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