Generalized analysis of explosion propagation in condensed systems

The complex problem of the propagation of explosion of condensed explosives in gas media (air) is solved analytically. A generalized model is constructed which describes the following processes: explosion propagation in an explosive charge from the time of initiation to the establishment of the normal detonation regime (explosion transient); proper normal detonation; expansion of explosion products into the medium (air) with the formation of a blast wave and motion of the perturbed medium in the blast wave. Unlike in the well-known formulations of such problems using the classical hypothesis about adiabatic explosive processes, the present study is based on the more natural hypothesis about an exponential density profile of the perturbed medium and explosion products. The method of Salamakhin is extended to real explosion processes.