A theoretical description of low-velocity detonation (lvd) in liquid explosives has been developed, based upon a cavitation model of the phenomena. This model, precursor waves cause cavitation of the liquid; the cavities are then shock-initiated by the advancing detonation front. The chapman-jouguet (c-j) condition of classical detonation theory has been extended to this case where precursor wave effects are important. In essence, it is shown that coupling of rate processes through a precursor wave limits the number of hugoniot adiabat states that are accessible. For the case of lvd in liquid explosives, six rate processes are identified and treated analytically to yield an expression coupling the detonation pressure, extent of liquid cavitation, and wall shock attenuation rate. Calculated detonation velocities, pressures, and stability conditions are in very good agreement with the available experimental data for nitroglycerin, ethylene glycol dinitrate, and nitromethane.
Astronautica Acta, V. 17, 1972, PP. 575-587