Effect of chemically inert particles on parameters and suppression of detonation in gases

Abstract

An algorithm for calculating the parameters of a steady one-dimensional detonation wave in mixtures of a gas with chemically inert particles and estimating the detonation-cell size in such mixtures is proposed. The calculated detonation parameters and cell size in stoichiometric hydrogen-oxygen mixtures with W, Al 2 O 3 , and SiO 2 particles are used to analyze the method of suppression of multifront gas detonation by injecting chemically inert particles ahead of the leading wave front. The ratio between the channel diameter and the detonation-cell size is used to estimate the limit of heterogeneous detonation in the mixtures considered. The minimum mass of particles and the characteristic cloud size necessary for detonation suppression are calculated. The effect of thermodynamic parameters of particles on the detonation suppression process is analyzed for the first time. Particles with a high specific heat and (if melting occurs) a high phase-transition heat are found to exert the most pronounced effect.

Mathematical modeling of detonation suppression in a hydrogen-oxygen mixture by inert particles

“…Fomin and Chen [10] calculated detonation suppression in a stoichiometric hydrogen-oxygen mixture by means of injection of chemically inert Al 2 O 3 , SiO 2 , and W particles. Within the framework of the reduced equilibrium kinetics, they proposed a model of chemical equilibrium in a mixture of a gas and chemically inert particles.…”

“…Thus, the mathematical models that can be used to describe the detonation phenomena in gas suspensions are restricted to the models of equilibrium [2,10] and model or reduced [3][4][5][6]9] kinetics of chemical transformations in the DW. Therefore, it seems of interest to develop a theoretical model of these phenomena, which could offer a detailed description of the DW structure and establish correspondence between the data obtained with detailed and reduced kinetics.…”

Mathematical modeling of the detonation wave and inert particles interaction at the macro and micro levels

“…However, the nonuniform structure of the detonation cell undoubtedly influences the parameters of mixtures of explosive gases with chemically inert particles and the limiting detonation characteristics. It can be noted that the interaction of cellular detonation waves in gases and mixtures of gas with inert particles has been the subject of a few studies, e.g., [13][14]. Thus, it is of both theoretical and practical interest to investigate the detonation-wave parameters and estimate the detonation cell size in mixtures of combustible gases and inert particles.…”

Analysis of the influence of inert particles on the propagation of a cellular heterogeneous detonation

“…Fomin and Chen [9] developed an analytical formula for calculating the detonation cell size to study the influence of thermodynamic parameters of particles on detonation suppression. The geometric size of the particle cloud sufficient for detonation wave suppression was numerically found for an oxygen-air mixture [10].…”