Shock Wave Structure in a Mixture of Gas and Radiating Particles of Different Sizes
Abstract
The shock wave structure of a dusty gas containing particles of two different sizes is numerically investigated on the basis of the Boltzmann equation for a gasparticle mixture, and of a differential approximation for radiative heat transfer. For strong radiation, the temperature profiles of two particle clouds resemble each other, although their absorption coefficients are different. The radiative heat flux is always in the opposite direction to the gas flow. For weak radiation, if the difference of the absorption coefficients of two particle clouds is very large, the disagreement of their temperature profiles is remarkable. There appears behind the gas shock front a particular region in which the radiative heat flux is in the same direction as the gas flow, and the relaxation length to the final equilibrium state becomes shorter than the case without radiation.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 October 1979
 DOI:
 10.1143/JPSJ.47.1305
 Bibcode:
 1979JPSJ...47.1305M
 Keywords:

 Boltzmann Transport Equation;
 Gas Mixtures;
 Particle Size Distribution;
 Radiative Heat Transfer;
 Shock Wave Profiles;
 Temperature Profiles;
 Absorptivity;
 Gas Temperature;
 Heat Flux;
 Ideal Gas;
 Molecular Relaxation;
 Shock Fronts;
 Fluid Mechanics and Heat Transfer