Abstract
A quasi-one-dimensional heat transfer analysis of a transparent, compressible gas flow through a heated diverging channel of circular cross-section is presented. This note extends the so-called Rayleigh problem associated with compressible flow theory to include the effects of internal surface radiation confined within the enclosure. A unique integral formulation, motivated by the effect of thermal radiation, is detailed along with results obtained from several numerical simulations. Finally, the effect of thermal radiation on the establishment of the gas and wall temperature, pressure and Mach number distributions are highlighted.
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