The thick and thin limiting solutions for combined convection and radiation in the region of a two dimensional stagnation point

Abstract

The low speed constant property flow of a gray absorbing and emitting gas is studied in the region of a two dimensional stagnation point. Two limiting cases are considered. These correspond to the case where the hydrodynamic boundary layer is either optically thin or optically thick. In the thin case, the errors in the total heat transfer are of the order of one percent for an optical thickness of 001. For the thick case, the three term Taylor series gives an excellent representation for the temperature profile and the best result for the convection heat transfer for an optical thickness of 1.0 and 10.0. The most accurate radiation heat transfer is found by using this profile in the exact numerical expression. The Rosseland expression gives the best representation for the total heat transfer.