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The shock-induced dispersal of dense particle curtains with varying density

Daniel, Kyle; Farias, Paul A.; Wagner, Justin W.

Here we present results from experiments within Sandia National Labs’ multiphase shock tube on the shock-induced dispersal of dense particle curtains. This study builds on previous work by examining the effect of particle density on the dynamics of a shock-particle interaction in a dense volume fraction regime. We present results gathered from high-speed schlieren images used to track the propagation of the upstream and downstream fronts of the particle curtain. The effect of particle density on the curtain spread rate was examined by comparing curtains comprised of soda lime, stainless steel, and tungsten particles at two distinct volume fractions ϕp = 9% and ϕp ≈ 20%, and various incident shock strengths. Time scales of the spreading process were non-dimensionalized using two scaling methods from literature; one defined by the pressure ratio across a reflected shock and the other related to the incompressible drag through a grid. Both scaling methods successfully collapsed the spreading rate of curtains with different particle densities, while only the drag based scaling could account for variation in volume fraction. In addition, a new scaling based on a simple force balance that uses the pressure ratio across the curtain was found to achieve the tightest collapse of all methods tested.