Particle Impaction on a Supersonic Cone

Abstract

The theoretical collection efficiency has been determined for particles impinging on a supersonic cone with an attached shock. By defining a moving coordinate system such that the gas is stationary on the cone surface behind the shock and scaling the particle Stokes number with a shock-to-cone distance, a similarity parameter has been denned that properly accounts for the effects of freestream Mach number, cone angle, and large particle Reynolds number. The effective Stokes number, which represents the ratio of the particle stopping distance in the moving frame to the appropriate shock-to-cone length, is shown to correlate the total collection efficiency.