Non-uniform flow structure behind a dusty gas shock wave with unsteady drag force

One of the important subjects of high-speed gasdynamics is the two phase flows of gaseous media loaded with small solid particles (dusty gases). The research field is directly linked to many important applications, such as shock wave interactions with solid particles in a solid-fuel-booster nozzle, high speed flight in the rain, snow, or dust, etc. Accordingly, numerous works on the subject have been reported over the last several decades [1–4]. High-speed flows in dusty gases, especially unsteady ones such as those in a dusty gas shock tube, are quite different from their pure gas counterparts due to momentum and energy exchange between gas and solid particles. The solid particles cannot follow rapid changes in the gas velocity and temperature, exhibiting non-equilibrium shock regions behind shock fronts. The objective of this paper is to quantitatively investigate the effect of unsteady drag force on the structure of this non-equilibrium region behind shock waves traveling through a dusty gas.