Interaction of detonation and rarefaction waves in aluminum particles dispersed in oxygen

The problem of interaction of a plane detonation wave with an adjacent rarefaction wave is studied on the basis of a mathematical model of detonation of aluminum particles dispersed in oxygen. The numerical solution is obtained within the framework of the one-velocity two-temperature approximation of the mechanics of heterogeneous media for the Chapman–Jouguet regime and strong and weak detonation regimes. It is shown that the Chapman–Jouguet regime and weak regimes with an internal singular point are self-sustained. Three intervals of the relaxation parameter (the ratio of the characteristic times of thermal relaxation and combustion) are determined. The detonation/rarefaction wave interaction results in the Chapman–Jouguet regime in the first interval, in decomposition of the detonation wave into a shock wave and a lagging combustion front with further loss of stability in the second interval, and in a weak detonation regime in the third interval.