Temperature-based model for condensed-phase explosive detonation

Simple reactive flow models for condensed explosives have four requirements: two equations of state (EOS), one for the unreacted condensed-phase explosive and one for its detonation products, a reaction rate law that converts the explosive in products and a mixture rule to compute the biphasic partially reacted states (with both unreacted explosive and products). Generally, the chemical reaction rates are governed by local temperature. Nonetheless, temperature fields are scarcely known, especially in detonating explosives. Hence this quantity is not provided by the usual unreacted explosive EOS with the required accuracy. As a consequence, for shock initiation and detonation phenomena, rate laws are based on easily measurable properties such as pressure, density, compression or particle velocity. In this work, we try to build a temperature-based reaction rate law. This model is expected to give interesting results as regards shock initiation and desensitization while remaining accurate for detonation propagation.