三维爆轰纯气动力间断数学模型
A mathematical model for three dimensional detonation as pure gas-dynamic discontinuity
摘要：
基于爆轰波厚度相对于流体运动特征尺度较小的近似，提出了一种三维爆轰波模型。在这个框架中，爆轰被视为一个修改的流体动力学不连续。改变后的朗肯-雨果尼奥跳跃条件考虑了爆炸的内部结构，包括化学反应。由第一性原理导出了不连续面的位置和相应的跳跃条件。最后修改的条件取决于曲率，火焰厚度和拉伸，并允许简单的物理解释。
英文摘要：
A model for three dimensional detonation is proposed based on the approximation that the detonation thickness is small compared to the characteristic scales of the fluid motion. In this framework detonations are treated as a modified hydrodynamic discontinuity. The altered Rankine-Hugoniot jump conditions take into account the internal structure of the detonation including the chemical reaction. The position of the discontinuity surface and the corresponding jump conditions are derived from first principles. The final modified conditions are dependent on curvature, flame thickness and stretching and allow for simple physical interpretation.
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