Numerical Analysis of Dusty Hypersonic Viscous Gas Flow over a Flat Plate

Abstract

We present an analysis of dilute gas-particle flows at hypersonic Mach number in which the flow parameters are obtained by solving complete two-dimensional Navier-Stokes equations numerically for a Bat-plate geometry. The conservation equations for both the gas and particle phases have been solved using finite volume upwind schemes, Time marching is carried out using the Euler-implicit scheme for the gas phase and the Euler-explicit scheme for the particle phase. Roe's flux-difference-splitting scheme is used for the gas phase, and the Steger-Warming Bu-vector-splitting scheme is applied for the particle phase. The detailed Bow structures of the gas and particle phases are given in three distinct regions: the large-slip region near the leading edge, the moderate-slip region, and the small-slip region far downstream. It is found that the presence of solid particles in the flow has an appreciable effect on the flowfield parameters. Also the presence of particles enhance the skin friction and heal transfer along the wall and decreases the boundary-layer thickness compared with the pure-gas case.