Abstract
A linearized problem of a steady one-dimensional slow flow of a grey inviscid non-heat conducting gas past a grey semitransparent heat source is analyzed by method of matched asymptotic expansions when the magnitude of heat transfer due to radiation is much greater than that due to convection. The radiation field is assumed to be in LTE and to affect the flow only through the heat flux. It is found that the flow field consists of three parts: asymptotic region with diffusive heat flux, intermediate region where the exact radiative transfer equation should be considered and matching region in the neighbourhood of the heat source where the solution in the up- and down-stream should match with each other. Analytical solutions are obtained in these regions up to the second approximation correct to the order of the inverse of the Boltzmann number.
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