Determination of nonideal self-sustained detonation regimes of aluminum particles in air

A two-velocity two-temperature model of detonation of aluminum particles suspended in oxygen is employed to study the problem of interaction of a plane detonation wave with an adjacent nonequilibrium rarefaction wave formed with instantaneous removal of the sustaining piston. It is confirmed that the Chapman–Jouguet regimes and weak regimes with a supersonic (with respect to the frozen sound velocity) final state are self-sustained. Stable propagation of the structure is shown for the weak regimes with subsonic (with respect to the frozen sound velocity) and supersonic (with respect to the equilibrium sound velocity) final states (which are unstable in a single-velocity approximation). Interaction of an overcompression wave with a rarefaction wave for relaxation-parameter values that fall into the region of existence of Chapman–Jouguet regimes, results in entry into a Chapman–Jouguet regime. A self-sustained regime of weak detonation that corresponds to the given relaxation parameters is realized outside this region.