Critical conditions of shock-wave of chemical reaction in the liquid explosives containing glass microballoons

In this work we consider the task of determining the temperature field of the shock compressed two-phase medium. The latter is imitated by Newtonian liquid with microspherical inclusions of the identical radius. The existence of these inclusions is actually considered by a covering of the constant thickness on a surface of the compressed pores. We develop the mathematical model of the studied process, meanwhile accepting the hypothesis that the covering is thermally thin (i.e. we admit the idea of "the concentrated capacity"). The offered mathematical model represents the mixed task for the equation in private derivatives of a parabolic type. Its specific character is due to the irregularity of the non-stationary boundary condition on the mobile border of the phases which obviously involves temperature’s derivative with respect to time. The obtained results are used for the theoretical estimation of a chemical reaction initiation limit in the liquid explosives containing glass microballoons.

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