A Kinetic Model for a Polyatomic Gas with Temperature-Dependent Specific Heats and Its Application to Shock-Wave Structure

Shingo Kosuge, Hung Wen Kuo, Kazuo Aoki

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

The ellipsoidal statistical (ES) model of the Boltzmann equation for a polyatomic gas with constant specific heats (calorically perfect gas), proposed by Andries et al. (Eur J Mech B Fluids 19:813, 2000), is extended to a polyatomic gas with temperature-dependent specific heats (thermally perfect gas). Then, the new model equation is applied to investigate the structure of a plane shock wave with special interest in CO 2 gas, which is known to have a very large bulk viscosity, and in the case of relatively strong shock waves. A numerical analysis, as well as an asymptotic analysis for large bulk viscosity, is performed in parallel to the previous paper by two of the present authors (Kosuge and Aoki, in: Phys Rev Fluids 3:023401, 2018), where the structure of a shock wave in CO 2 gas was investigated using the ES model for a polyatomic gas with constant specific heats. From the numerical and analytical results, the effect of temperature-dependent specific heats on the structure of a shock wave is clarified.

原文English
頁(從 - 到)209-251
頁數43
期刊Journal of Statistical Physics
177
發行號2
DOIs
出版狀態Published - 2019 十月 1

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 數學物理學

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