Mathematical analysis of a two-phase model for reactive granular material

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Abstract
The combustion of reactive granular materials from deflagration to detonation involves a very complex sequence of events. Understanding this combustion is of great importance in assessing energetic material hazards particularly in application to propellant systems. The complexity of this phenomenon is the result of the interplay of different thermal and mechanical processes. Deflagration is a low-speed combustion event dominated by transport effects, whereas detonation involves high-speed combustion governed by shock wave development and propagation. Under favorable conditions, combustion (which originates as a low-speed reactive wave) accelerates and the combination of the modes of combustion is the essence of the phenomenon of deflagration-to-detonation transition (DDT). 6 refs., 5 figs.

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