Theoretical Deduction of Ignition Position and Temperature of Two-dimensional Slow Cook-off Model
According to the theoretical equation of heat conduction of explosives, the non-reactive heat conduction term of explosives is separated from the self-heating reaction heat conduction term by using the superposition principle and the separation variable method, which lays a theoretical foundation for the theoretical analysis of slow cook-off process of condensed explosives and the study on the ignition point of slow cook-off. Therefore the analytical solution of temperature distribution for two-dimensional slow cook-off model of condensed explosives is derived. The variation of the temperature field of self-heating reaction with time and explosive size is calculated and analyzed. The ignition position, ignition temperature and ignition time calculated theoretically are verified by the results of slow cook-off test. The results show that the ignition time and ignition position determined by theory are consistent with those measured by experiment. With the increase of the size, the position of the highest temperature of self-heating reaction of explosive moves from the center to the edge corner. With the increase of test time, the temperature distribution of self-heating reaction tends to be stable. For the RDX explosive with size of φ76 mm × 190 mm, the self-heating reaction temperature distribution at the ignition time is consistent with the self-heating reaction temperature distribution at 80000 s before ignition.