Calculations of detonation waves in gas-droplet systems

Abstract

The results of computations of steady and unsteady detonation waves in a heterogeneous medium, i.e. the mixture of liquid fuel drops and gaseous oxidizer, are presented. Inside the reaction zone the following processes are taken into account: deformation and acceleration of drops, break-up of a drop into smaller droplets at the instant when the critical stage of deformation has been reached, boundary layer stripping and, evaporation of the remains of drops at the last stage of dispersion (in a steady problem). To describe the deformation, a new approximate equation was introduced using the energetic approach. Several models of the reaction zone in a steady wave have been studied. The resulting numerical solution for the problem of point blast in a two-phase reacting medium shows that the velocity of the wave passes through a minimum and then increases, slowly approaching from below, the value of the steady Chapman-Jouguet detonation velocity.