Analog System Of Non-ideal Detonation With Pressure-dependent Reaction Rate

Condensed explosives play an important role in both national defense application and in the construction of national economy. Because of the high pressure, the tube wall could hardly confine the flow. So there exists the lateral expansion due to yielding confinement for condensed explosives. In the presence of losses in mass, momentum, or energy are resulting from the curved shock. Considering above non-idealed detonation, there exists a critical loss, beyond which a detonation wave solution is no longer possible, and this feature is associated with the existence of detonation limits in experimental practice. But it is difficult to study this non-idealed detonation by using Euler equations. Although Euler equations includes most of the real elements of detonation dynamics, it is still very hard because of high nonliearity.This thesis mainly discusses corresponding detonation characteristics based on pressure-dependent reaction rate which could applied to condensed explosive.The research work includes:1.Introduce the derivation of analog system, including nonreactive Euler equations and reactive Euler equations.2.By solving the eigenvalue problem for the detonation by numerically iterating upon the structer of the reaction zone, the detonation velocity vs. The loss parameter exhibits a turning point that can be defined as the critical condition for propagation.3.By using numerical simulation method to solve the analog of one-dimensionla non-idealed detonation, and prove the existence of the critical of losses. Besides, the simulation results show only steadily propagating detonations or quenching, but no chaotic behaviour in the detonation propagation, which is the same as analytical results.