Three-Dimensional Mathematical Simulation of Two-Phase Detonation in the System of a Gaseous Oxidizer with Fuel Droplets

Abstract

The results of a three-dimensional numerical study of the propagation of detonation waves in a two-phase mixture of liquid isooctane with air are presented. The detonation calculation technique is based on Navier–Stokes equations with the simulation of the liquid phase evolution using the Lagrangian formalism. Numerical models consider droplet movement, evaporation, and breakup, as well as finite-rate mixing and chemical transformations. The reliability of the method is confirmed by a comparison of the predicted and measured velocities of heterogeneous detonation in a vertical channel of a square cross section. The influence of the prehistory on the formation of a two-phase detonable mixture in the channel on the propagation velocity and structure of detonation waves is considered. The influence of droplet coagulation is also taken into account. New data on the spatiotemporal structure of a two-phase detonation wave are obtained.