In this study, the effects of different thermo-chemical models on the macroscopic parameters of the flow behind a strong shock wave have been examined. The effect of the geometric average temperature proposed by Park and the effect of the electronic energy are also presented, and two CVD vibration-dissociation coupling models including those of Park and Kuznetsov are also examined and used for comparison. The Park93 chemical kinetic model with 11 species and 49 elementary reactions was used to describe the non-equilibrium air chemistry. The energy exchange model between translational and vibrational modes is described by the Landau-Teller formula, where the species relaxation time is based on the Millikan-White formula including Park’s high-temperature correction. The theoretical model consisting of the Euler equations supplemented with the equation of molecular vibration and the equations of chemical kinetics using a two-temperature model (translational-rotational temperature and vibrational-electron-electronic temperature) is discretized by a finite difference scheme. Good agreement is found for the relaxation zone between the present results and those obtained by Panesi for the two trajectory point (1634 s and 1643 s) for the FIRE II reentry capsule.

中文翻译：

---

强冲击波后非平衡高超音速气流中的理化现象研究

在这项研究中，研究了不同的热化学模型对强冲击波后的流动的宏观参数的影响。还介绍了Park提出的几何平均温度的影响和电子能量的影响，还研究了包括Park和Kuznetsov在内的两个CVD振动离解耦合模型，并进行了比较。用具有11种和49个基本反应的Park93化学动力学模型描述了非平衡空气化学。转换模式和振动模式之间的能量交换模型由Landau-Teller公式描述，其中物种弛豫时间基于Millikan-White公式，其中包括Park的高温校正。通过有限差分方案离散化了由欧拉方程，分子振动方程和化学动力学方程组成的理论模型，该模型使用了两个温度模型（平移-旋转温度和振动电子电子温度）。在当前结果与Panesi在FIRE II再入舱的两个轨迹点（1634 s和1643 s）获得的Panesi结果之间找到了良好的一致性。