The reflection of an ionized shock wave
The reflection of an ionized shock wave
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DOI：
10.1007/s00161-017-0607-5
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发表时间：
2017-09
影响因子：
2.6
通讯作者：
F. Asakura;A. Corli
中科院分区：
文献类型：
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作者：
F. Asakura;A. Corli
在之前的一篇论文中，我们在一维空间中研究了电离气体的热力学和动力学理论；本文将这些结果应用于电磁激波管中冲击波的反射。在与实验数据完全一致的合理限制下，我们证明了入射激波和反射激波都满足Lax熵条件；这个结果甚至在模型中存在的真正非线性区域之外也成立。我们表明，在入射激波锋后，温度以显著的方式增加，但电离程度没有经历类似的增长。相反，在反射激波锋后面，电离程度大大增加。我们用Hugoniot座的凹性来解释这些现象。因此，我们的结果不仅完全吻合，而且解释了实验中观察到的情况。
In a previous paper, we studied the thermodynamic and kinetic theory for an ionized gas, in one space dimension; in this paper, we provide an application of those results to the reflection of a shock wave in an electromagnetic shock tube. Under some reasonable limitations, which fully agree with experimental data, we prove that both the incident and the reflected shock waves satisfy the Lax entropy conditions; this result holds even outside genuinely nonlinear regions, which are present in the model. We show that the temperature increases in a significant way behind the incident shock front but the degree of ionization does not undergo a similar growth. On the contrary, the degree of ionization increases substantially behind the reflected shock front. We explain these phenomena by means of the concavity of the Hugoniot loci. Therefore, our results not only fit perfectly but explain what was remarked in experiments.