Secondary Flow Induced by Local Temperature Change in Radiation Layer
Abstract
This paper deals theoretically with a slow flow of a grey radiating gas along an infinite flat plate. The plate is semitransparent on which a sinusoidal temperature distribution is given and through which an external radiation beam is imposed normally. The case is considered that the variation of the temperature is small, so that the analysis is based on the linearized equations. Asymptotic behaviours for optically thick gas are investigated making use of matched asymptotic expansions up to the second approximation correct to the order of the inverse of the Bouguer number. It is shown that the nonuniform temperature distribution may be confined only to a thin layer, whose thickness is of order of the photon mean free path, adjacent to the plate, when the plate temperature is suitably chosen. By this temperature distribution, a secondary flow is induced even in the region outside the layer.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 May 1975
 DOI:
 10.1143/JPSJ.38.1494
 Bibcode:
 1975JPSJ...38.1494K
 Keywords:

 Flat Plates;
 Gray Gas;
 Radiative Heat Transfer;
 Secondary Flow;
 Temperature Distribution;
 Asymptotic Methods;
 Boundary Value Problems;
 Flow Velocity;
 Surface Temperature;
 Fluid Mechanics and Heat Transfer