بررسي اثر قواعد مخلوط بر انتشار تراك خميده در مواد شديد الانفجار با معادله حالت و نرخ سوزش كلي

Mixture Rule Effects on the Curved Detonation Propagation in Explosives Described by General Equation of State and Reaction Rate Law

In this study, the reactive Euler equations are solved in the reaction zone between the leading shock and sonic locus for curved detonations propagating in high explosives. The explosive material is described by general equation of states and reaction rate law. The investigation is carried out by the "Detonation Shock Dynamics" (DSD) method. The effects of the front curvature on the detonation velocity and its properties are determined for divergent and convergent detonations. Governing equations are written in shock attached frame and simplified assuming small detonation front curvature (relative to half reaction length) and slow-varying shape (relative to particle pass time through reaction zone). It is observed that increasing the front curvature leads to decreasing of the diverging detonation velocity relative to the corresponding ZND detonation. Besides, for curvature higher than a critical limit the detonation fails. Decreasing the converging detonation curvature radius causes a dramatic increase in the detonation velocity and pressure. In the reaction zone of the high explosive materials, the reactant and products exist simultaneously. Computation of the mixture properties needs some assumptions known as the mixture rule. In the present work, the effects of the mixture rule on the planar and curved detonation is studied. It is demonstrated that the kind of the mixture rule does not have considerable effects on the planar detonation. However, its effect on the curved diverging detonation is significant and leads to a substantial change of the detonation properties such as the velocity and pressure.