The solution is known as a Chap- man-Jouguet detonation, after the first two men to propose such a solution(refs 19 and 20). Chapman and Jouguet independently hypothesized that the flow at the fully reacted state, just behind the detonation front, is sonic with respect to the detonation velocity. Experimentation verifies that on a macroscopic level, Chapman-Jouguet detonations are often rapidly approached after explosive initiation. Normally detonation behavior modeling in analytical shaped charge models is limited to steady Chapman-Jouguet detonations, and any transient detonation behavior is ignored. The constant Chapman-Jouguet detonation velocities are either derived from experimen- tation(ref 21) or are calculated using a thermochemical equation of state(refs 22 and 23). When a constant Chapman-Jouguet detonation velocity is assumed, both the time to that the detonation reaches each element and the liner sweep velocity at each element Udet D/sinp can be easily calculated from the initiation and liner geometries
The solution is known as a Chap- man-Jouguet detonation, after the first two men to propose such a solution(refs 19 and 20). Chapman and Jouguet independently hypothesized that the flow at the fully reacted state, just behind the detonation front, is sonic with respect to the detonation velocity. Experimentation verifies that on a macroscopic level, Chapman-Jouguet detonations are often rapidly approached after explosive initiation. Normally detonation behavior modeling in analytical shaped charge models is limited to steady Chapman-Jouguet detonations, and any transient detonation behavior is ignored. The constant Chapman-Jouguet detonation velocities are either derived from experimen- tation(ref 21) or are calculated using a thermochemical equation of state(refs 22 and 23). When a constant Chapman-Jouguet detonation velocity is assumed, both the time to that the detonation reaches each element and the liner sweep velocity at each element Udet D/sinp can be easily calculated from the initiation and liner geometries
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