SIMULATION OF INTERACTION OF HETEROGENEOUS DETONATION WITH POROUS INSERT

Investigation of the process of a detonation wave (DW) interaction with various obstacles is a fundamental problem. This problem is relevant from the point of view of reducing the destructive e¨ects of heterogeneous explosions in technological disasters and in the studies of the process of de§agration-to-detonation transition and in detonation engines development. In this study, the authors tried to model the heterogeneous detonation of stoichiometric mixture of aluminum particles in oxygen with semi-in¦nite porous insert as a grid of stationary cylinders. The model is based on the system of Euler Euler equations for describing the interaction of continua including the laws of mass, momentum, and energy conservation for each of the phases and components closed by equations of state, momentum exchange (drag forces), and heat transfer between gas, particles, and porous body. Aluminum combustion is described as a reduced reaction initiated after the critical temperature is reached assuming incomplete particle burning. It was assumed that the porous zone is a continuous medium in the form of a grid of stationary cylinders. During the numerical simulation, some §ow regimes were obtained similar to those that were previously obtained in the study of the interaction of detonation waves with inert particles as well as with water sprays. There are regimes with a reduced DW velocity and regime with detonation failure with separation of shock wave and reaction front. Figure compares the results of one- (1D) and two-dimensional (2D) simulations of the propagation regimes of heterogeneous detonation of 1-micrometer aluminum particles in oxygen in a porous zone with a 200-micrometer cylinders. It can be seen that the results are quite similar to each other.