Steady Radiative Heat Transfer from a Line Heat Source in a Uniform Flow of an Optically Thick Gas

Abstract

The radiative heat transfer from a line heat source in a uniform flow of an inviscid, non-heat-conducting, gray and optically thick gas is analyzed by the method of matched asymptotic expansions. The radiation field is considered in LTE. The case is considered in which Mach number is small and the intensity of the heat source is weak. Thus the analysis is based on the linearized equations. The line heat source is considered as a limit of a black circular cylinder whose radius tends to zero and whose temperature tends to infinity in order to give a finite effect to the radiation field. The solution is studied in detail in the radiation region, which is the nearly axisymmetric region whose distance from the heat source is of order of the photon mean free path. Numerical discussion is also made of the temperature distribution in the region.