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Sub-shock formation in shock structure of a binary mixture of polyatomic gases
Rendiconti Lincei-Matematica e Applicazioni ( IF 0.5 ) Pub Date : 2021-07-14 , DOI: 10.4171/rlm/932
Tommaso Ruggeri 1 , Shigeru Taniguchi 2
Affiliation  

The differential system of the field equations of a binary mixture of Eulerian gases is hyperbolic and, according to a general theorem of Boillat and Ruggeri, the shock-structure solution is not always regular and a discontinuous jump (sub-shock) may appear depending on the velocity of the shock wave. In this paper, we give all the necessary conditions for the subshock formation and we identify for prescribed values of the mass ratio of the constituents and degrees of freedom of molecules four regions depending on the concentration and the Mach number in which there may exist the sub-shock for one or both constituents or not. Preliminary numerical tests calculating the shock-structure solution in these regions confirm the qualitative analysis.

中文翻译:

多原子气体二元混合物激波结构中的亚激波形成

欧拉气体的二元混合物场方程的微分系统是双曲线的,根据 Boillat 和 Ruggeri 的一般定理,激波结构解并不总是规则的,并且可能会出现不连续的跳跃(亚激波),这取决于冲击波的速度。在本文中,我们给出了亚激波形成的所有必要条件,并根据可能存在亚激波的浓度和马赫数确定了四个区域的成分质量比和分子自由度的规定值。 - 对一个或两个组成部分的冲击与否。计算这些区域的冲击结构解的初步数值试验证实了定性分析。
更新日期:2021-07-15
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