Abstract

The present study proposes a model for initiation, or more precisely, a method for determining the critical initiation energies for gaseous and gas-droplet detonation, based on the dependence of the minimum of the nonsteady-state detonation wave velocity as a function of the relative width of the wave front. Generalization of the relationships between characteristic parameters in the problem of direct initiation of detonation, first obtained in numerical calculations for a heterogeneous mixture without ignition delays, permits formulation of a simple mathematical model and derivation of finite algebraic expressions for calculation of initiation energy of both gas mixtures and gas-droplet mixtures with chemical ignition delays. For gas suspensions, it is possible to estimate the initiation energy of a heterogeneous detonation of suspensions of droplets of any size.

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