Modeling of long-term shock interaction with a movable particle curtain in a rectangular tube based on a dense discrete phase model

Shock interaction with dense particles can be observed in practical applications such as shock driving dry powder fire extinguishing techniques, needle-free injections and so on, in which particles are spread and accelerated due to shock impacts, gaseous traction, and particle collisions. In this work, we conducted an interphase four-way coupled modeling based on a DDPM for long-term shock interaction with a moveable particle curtain. We proposed a corrected drag model considering the effects of fluid compressibility and particle volume fraction. The current modeling framework was sufficiently validated against previous experiments. We conducted a parametric study for the effects of incident shock Mach number Ms, initial particle volume fraction φp, and particle size dp on shock attenuation, particle-curtain motion and deformation. The weak compression, constant acceleration, constant velocity, decelerating, and equilibrium regimes, discharge effects, peeling- and transcendence-induced sudden expansions of the particle curtain were identified during the interaction process.