Shock interaction with one-dimensional array of particles in air
Jackson, Thomas L.
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In this paper, we present axisymmetric numerical simulations of shock propagation in air over an aluminum particle for Mach numbers up to 10. The numerical method is a finite-volume based solver on a Cartesian grid that allows for multi-material interfaces and shocks. Validation of the solver is demonstrated by comparing to existing experimental data. We compute the unsteady inviscid drag coefficient as a function of time, and show that when normalized by post-shock conditions, the maximum drag coefficient decreases with Mach number. Furthermore, for supercritical Mach numbers, we show that the inviscid steady-state drag asymptotes to a non-zero value due to the presence of a bow shock formed just upstream of the particle. Using this information, we also present a simplified point-particle force model that can be used for mesoscale simulations. Finally, we investigate the dynamics of a shock propagating over a 1-D array of particles aligned in the flow direction. We show that the maximum drag coefficient increases as the shock travels deep into the array and then asymptotes to a final value, which can be as high as 50% more than that of the first particle, depending on Mach number and particle spacing.