Abstract

The effect of a flammable spray on the thermal explosion in a combustible gas mixture is investigated based on an original physical model. For qualitative analysis of the system an advanced geometric asymptotic technique (integral manifold method) has been used. Possible types of dynamical behavior of the system are classified and parametric regions of their existence are determined analytically. It turns out that there are five main dynamical regimes of the system: slow regimes, conventional fast explosive regimes, thermal explosion with freeze delay and two different types of thermal explosion with delay (the concentration of the combustible gas decreases or increases). Peculiarities of these dynamical regimes are investigated and their dependence on physical system parameters are analyzed. Upper and lower bound estimates for the delay time are derived analitically and compared with results of numerical simulations. The comparison demonstrates satisfactory agreement.

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