Oblique Shock Waves in Two-Phase Flow

Abstract

Oblique shock waves in two-phase flow were studied, and the relation between gas-particle flow properties ahead of an oblique shock wave and gas-particle flow properties behind the shock wave were derived by a solution of the steady-state conservation equations of mass, momentum, and energy for the mixture phase. Some of the important assumptions made are that the particles are uniform in size, uniformly distributed, and in thermal equilibrium with the gas ahead of the oblique shock wave. Large particles (>10 ym) do not change direction immediately after passing through the shock wave. Particle drag coefficients in two-phase flow were reviewed, and the data used in this study were obtained from aeroballistic range measurements. Results of the oblique shock wave calculations are presented as the relation between the incident angle 6 of the two-phase flow and the deflection angle 6. The solution considered the effects of the shock wave Mach number, particle velocity lag, particle feeding rate, and particle size. A comparison of the calculations to experimental data was used as a guide to selection of the drag coefficient and gave good agreement between theory and experiment for the available data. It was found that the shock wave structure Presented at the 8th ICOGER, Minsk, USSR, Aug. 23-26, 1981. Copyright ©American Institute of Aeronautics and Astronautics, Inc., 1982. All rights reserved. ^Associate Research Staff, Fuels Combustion Research Laboratory. tAssociate Professor, Mechanical Engineering Department.