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UNSTEADY ONE-DIMENSIONAL FLOWS OF A VIBRATIONALLY EXCITED GAS
Journal of Applied Mechanics and Technical Physics ( IF 0.6 ) Pub Date : 2021-09-10 , DOI: 10.1134/s0021894421030020
Yu. N. Grigoryev 1 , S. V. Meleshko 2 , P. Siriwat 3
Affiliation  

Abstract

Complete group analysis of the system of one-dimensional unsteady equations of the dynamics of a vibrationally excited gas is performed in the case of cylindrical and spherical symmetry. It is shown that the admitted Lie algebra does not contain the scaling generator of independent variables that defines the well-known self-similar solutions of strong shock wave problems for the similar system of the gas dynamics equations of an ideal gas. A modification of the characteristic relaxation time is proposed, which makes it possible to extend the admitted Lie algebra of the system by the generator of simultaneous scaling of independent variables and introduce a class of self-similar solutions. Using the problem of a strong linear explosion as an example, it is shown that the solution of the modified system of equations is physically consistent and fairly accurately describes the well-known effect of the divergence of static and vibrational temperatures behind the wave front.



中文翻译:

振动激励气体的非稳态一维流动

摘要

在圆柱和球对称的情况下,对振动激发气体动力学的一维非定常方程系统进行了完整的群分析。结果表明,所承认的李代数不包含自变量的标度发生器,该自变量定义了理想气体的气体动力学方程的相似系统的强冲击波问题的众所周知的自相似解。提出了对特征弛豫时间的修改,这使得可以通过自变量同时标度的生成器来扩展系统的公认李代数,并引入一类自相似解。以强线性爆炸问题为例,

更新日期:2021-09-10
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