Model of bubble detonation

A model of detonation in a two-phase heterogeneous mixture consisting of bubbles of chemically reacting gas in a chemically inert liquid is proposed. The model takes account of the compressibility and viscosity of the liquid, the presence of an induction period of the chemical reaction, and shift of the chemical equilibrium. The initiation of the wave and its approach to steady conditions are calculated. The calculation results agree with experiment. It is shown for the first time that wave propagation at supersonic (relative to the frozen sound velocity) velocity is possible with large initial pressures in the mixture. The structure of the wave in sub- and supersonic conditions is significantly different. In the first case, there is smooth pressure variation in the compression wave; in the second, there is a pressure discontinuity at the leading shock front of the wave.