Abstract

Radiation-convection interaction for a laterally bounded flow past a heated plate is investigated, whereby the influence of two-dimensional radiation is emphasized. Due to the high anisotropy of the radiation near the leading edge of the plate the ordinary, two-dimensional differential approximation fails in the vicinity of the edge. Therefore Olfe's modified differential approximation, which separately accounts for the external wall radiation, is employed. The equations for a gray gas are linearized under the assumption of small temperature perturbations and are solved by means of the Wiener-Hopf technique. The results are compared with several approximate solutions. Among other results it is shown that the one-dimensional “radiation-layer” model of Cess is limited to weak radiation. For intermediate and strong radiation a distinct precursor is observed.

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