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Similarity Solution of Strong Spherical Shock Waves in a Rarefied Polyatomic Gas Based on Extended Thermodynamics

机译:基于延伸热力学的稀土化多原煤中强球面冲击的相似性解

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The spherical shock wave in a rarefied polyatomic gas is analyzed based on Rational Extended Thermodynamics (RET) with six independent fields; the mass density, velocity, pressure and dynamic pressure. By adopting the method on the basis of Lie group theory proposed in [A. Donato and T. Ruggeri, Similarity Solutions and Strong Shocks in Extended Thermodynamics of Rarefied Gas, Journal of Mathematical Analysis and Applications, 251, (2000) 395-405], we derive a new system of ordinary differential equations, which depends on a single similarity variable. The boundary conditions are obtained from the Rankine-Hugoniot conditions for a strong shock. It is shown that the similarity solution is characterized by only one parameter and the preliminary numerical results address the important role of the dynamic pressure on the profile, which is different from the one of the well-known Sedov-von Neumann-Taylor solution.
机译:基于合理的延长热力学(RET),分析了稀污染的多原子气体中的球形冲击波;质量密度,速度,压力和动态压力。通过在[A.的Lie Group理论的基础上采用该方法。 Donato和T. Ruggeri,相似性解决方案和稀有气体延长热力学的强烈冲击,数学分析和应用,251,(2000)395-405],我们推出了一种普通微分方程的新系统,这取决于单个相似度变量。边界条件是从兰辛 - Hugoniot条件获得的强烈休克。结果表明,相似度解决方案的特征在于仅一个参数,并且初步数值结果地解决了动态压力对轮廓上的重要作用,其与众所周知的Sedov-von Neumann-Taylor溶液不同。

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