Thermal radiation effects on a shocked particle-laden gas

A mathematical model is presented that describes the particle-gas interactions that occur when a shock wave propagates through a particle-laden gas. In most of the previous work in this field, thermal radiation was neglected when solving the energy conservation equation throughout the shock relaxation zone. The present study represents an extension of the previous analyses to include thermal radiation in the governing conservation equations. The present analysis focuses on the dynamic and thermodynamic events taking place within the domain of the relaxation zone, as well as the coupling of the relaxation zone and the preheat zone. Viewed in a shock-fixed coordinate system, the preheating and relaxation zones each have a constant length (steady-state assumption) for specified conditions and, for convenience, all properties within each zone can be referenced to the distance from the shock front. The results presented show the influence of thermal radiation on shock wave structure, and predict the distance ahead of the shock front that thermal radiation penetrates the particle-laden gas, thereby providing preshock heating to both the particles and the gas.