Abstract
A simple theoretical model is presented to determine the correlation between the igniter's critical energy and power necessary for direct initiation of detonations and to predict their respective threshold values. The model comprises a constant-velocity piston which is set in motion at time t = 0. The resulting constant-velocity shock wave heats up the explosive mixture and triggers the chemical reaction. It is shown that for direct initiation, the piston should remain in motion for a time interval at least equal to the induction period. The predictions based on this simple model are in good qualitative agreement with the experimental findings reported in the literature on cylindrical detonations.
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