A Two-Temperature Model for Shocked Porous Explosive

Mesoscale calculations of hotpots created by a shock wave in a porous explosive show that the hotspots do not cool in times of order at least a microsecond. This suggests that simple models of porosity like the Snowplough model, which assume that a shocked porous explosive jumps to a point on the Hugoniot that is instantaneously in thermodynamic equilibrium, are not correct. A two-temperature model of shocked porous explosive has been developed in which a small fraction of the material, representing the hotspots, has a high temperature, but the bulk of the material is cooler than the temperature calculated by the Snowplough model. In terms of the mean state of the material, it is shown that the two-temperature model only minimally affects the pressure vs. volume and shock velocity vs. particle velocity plot of the Hugoniot, but that the mean state lies slightly off the equation of state surface. The results of the model are compared with two dimensional mesoscale calculations.