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This paper is one of a series of forthcoming articles on the modeling, analysis, and numerical simulation of events that comprise the phenomenon of deflagration-to-detonation transition DDT in high-energy granular explosives. The two phases taking part in the DDT process are the solid grains of the explosive, and the product gas of combustion. The particular issue addressed here, namely, elucidation of the velocity relaxation-zone structure in the realistic limit of large drag between the phases, and derivation of the associated jump conditions, is admittedly but one aspect of the overall study. However, it is an important aspect, fundamental enough to be of broad and general significance and merit a detailed examination.

Except under certain specialized conditions of homogeneous flow, interacting two-phase media typically involve nonequilibrium processes. Differences in velocity, temperature and chemical …