Steady Radiating Gas Flow Past a Semi-Infinite Flat Plate at a Constant Temperature for an Optically Thick Case

Abstract

A general asymptotic theory of a radiating gas which has been developed by the same author is applied to the flow past a semi-infinite flat plate at a constant temperature. It is assumed that the global optical thickness of the gas is large and that the convective heat in the flow is of the same order of magnitude as the radiative one. The gas is assumed to have constant properties. The general theory shows that the flow field is composed of an isentropic outer region, a diffusive (Rosseland type) middle layer and a radiative inner layer. It is also shown that the solutions in the inner layer are described by linear combinations as coefficients. Similar solutions of universal functions by using specific values of the middle layer solutions are numerically obtained in the middle layer by making a boundary layer treatment. Solutions in the outer region are obtained for a subsonic flow. Actual analyses are carried out up to the first two orders of expansion with respect to the inverse square root of the glob...