Radiation-resisted shock waves in gas-particle flows
The effect of thermal radiation on the structure of normal shock waves in gas-particle flows is analyzed. The study is restricted to conditions at which the gas flow can be decoupled from the particle flow and where the gas contribution to radiation is negligible. An approximate closed-form solution, derived for a gray, absorbing particle cloud, demonstrates that, within the limits of the analysis and for a given shock Mach number, radiative influences increase with increasing stagnation temperature and particle diameter and decreasing pressure and particle loading. The radiation-affected regions were found to extend large distances upstream of the gas phase discontinuity. Results from numerical calculations are in substantial agreement with those of the approximate theory. Decreasing the shock Mach number, at constant pressure, stagnation temperature, particle loading, and particle diameter, increased the fraction of the particle temperature rise across the shock occurring upstream of the gas phase discontinuity. Nomenclature