Simulations of the Effects of Solid Particles on the Flow Instability in Detonative Combustion

We consider here the flow instability that evolves during the spontaneous release of a high pressure gas mixed with small solid particles in a spherical shock tube representing a detonative combustion. Upon the release of the particle-laden high pressure gas contained in the small sphere, a primary shock and a secondary shock are formed. Two material interfaces develop between the two shocks: one between the gas-gas, as in the classical single-phase problem. The second one is between the pure gas and the mixture of gas and solid particles. Because of the density discontinuity, Rayleigh-Taylor-type instabilities may develop for both surfaces, which are studied herein using a high-order numerical scheme. The interaction mechanisms involved can influence the instability and control the efficiency of the combustion process.