Numerical simulation of supersonic gas flow with binary particle admixture over a blunt body

Abstract

The paper is focused on the study of supersonic gas flows with suspended particles past blunt bodies. Flows with particles of two different sizes are considered. The main feature of the issue under investigation is the significant difference of characteristic scales for carrying and dispersed phases. The study is based on a complex mathematical model of the two-phase flow. The model combines Eulerian description for the gas phase and Lagrangian description for the dispersed phase. The carrying phase dynamics is governed by modified Euler equations, taking into consideration the particle-gas interaction. To account for inter-particle collisions and interaction of particles with the body surface, direct numerical simulation is used. The results of mathematical modeling for a supersonic flow with binary particle admixture around a sphere are presented. The focus is on the analysis of the effects related to the influence of the interaction between particles of different size on the energy flux from the dispersed phase to the sphere surface. The results show that energy fluxes from the individual dispersed fractions to the body surface are nonlinear functions of the particle volume concentrations. Collisions between particles of different size give significant rise to the impact of smaller particles. At the same time, the total energy flux from the dispersed phase to the body surface changes almost linearly with the concentration of individual fractions. This allows using the results of monodispersed flow calculation for modeling of polydispersed flows.The paper is focused on the study of supersonic gas flows with suspended particles past blunt bodies. Flows with particles of two different sizes are considered. The main feature of the issue under investigation is the significant difference of characteristic scales for carrying and dispersed phases. The study is based on a complex mathematical model of the two-phase flow. The model combines Eulerian description for the gas phase and Lagrangian description for the dispersed phase. The carrying phase dynamics is governed by modified Euler equations, taking into consideration the particle-gas interaction. To account for inter-particle collisions and interaction of particles with the body surface, direct numerical simulation is used. The results of mathematical modeling for a supersonic flow with binary particle admixture around a sphere are presented. The focus is on the analysis of the effects related to the influence of the interaction between particles of different size on the energy flux from the disper...