Effect of Sudden Change of Wall Temperature in a Thermal Radiating Gas

Abstract

Overall behaviours of a radiating grey gas bounded by a black infinite plane wall are investigated for small disturbances caused by an implusive change of the wall temperature. On the assumption that molecular dissipation is negligible in the conservation equation and the radiative transfer term in the energy equation can be approximated by the method of kernel substitution, approximate analytical solutions of these equations are obtained which are valid in the four limiting cases of strong and weak radiation, and small and large times. It is found that for large time and for weak radiation the wave front precedes the maximum of pressure. Except this, separation of wave from heat transport part is not very significant for large time, as expected. For small time, formation of an acoustic wave is distinct together with diffusion based on heat transport. For weak radiation and for small time, radiation slip is remarkable.