An isentropic equation of state of detonation product based on a Hugoniot relationship of detonation product

First, an empirical fit of the detonation product Hugoniot relationship through the C-J (Chapman Jouget) point was obtained by fitting 136 sets of the pressure-particle velocity experimental data of different explosives. Then, by Riemann integrating this relationship, an isentropic EOS (equation of state) of the detonation product, which describes the relationship between the pressure and the relative volume of the detonation product, was proposed. Unlike the traditional and empirical isentropic EOS, the new EOS requires no calibration by specific experiment because the parameters in it are just the initial specific volume and the C-J status variables of the explosive, thereby saving the cost of the calibration experiment and computing. For verification, the isentropic expansion curves of the detonation product of the Comp-B, HMX, PETN, ANFO, TNT and LX-14 explosives were plotted in the p-V space by adopting this new isentropic EOS and found to be in good agreement with the corresponding curves plotted by adopting the JWL isentropic EOS.