Radiative Transfer Effects on the Flow Field and Heat Transfer behind a Reflected Shock Wave in Air

Abstract

The effects of radiative transfer on the high-temperature heat-conducting flow field and end-wall heat transfer behind a reflected shock wave is investigated for air in local thermodynamic and chemical equilibrium. A numerical solution is obtained using a finite-difference method, and calculations are carried out for transparent, gray, and non-gray gas models of the radiative transport at conditions corresponding to an incident shock wave moving at a velocity of 8.85 km/sec into air at 1 mm Hg. The results obtained show that end-wall radiative heat transfer is markedly reduced due to both radiative cooling and self-absorption, but conductive heat transfer and reflected shock wave velocity are only slightly affected. The results also show that if self-absorption is to be realistically accounted for, a non-gray model must be employed. In addition, the results indicate a limited analogy between end wall and blunt body stagnation point radiative heat transfers.