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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)209-251
Number of pages43
JournalJournal of Statistical Physics
Volume177
Issue number2
DOIs
Publication statusPublished - 2019 Oct 1

Fingerprint

polyatomic gases
Specific Heat
Kinetic Model
Shock Waves
shock waves
specific heat
Dependent
kinetics
ideal gas
Bulk Viscosity
viscosity
temperature
fluids
Statistical Model
gases
numerical analysis
Fluid
Gas
Boltzmann Equation
Asymptotic Analysis

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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A Kinetic Model for a Polyatomic Gas with Temperature-Dependent Specific Heats and Its Application to Shock-Wave Structure. / Kosuge, Shingo; Kuo, Hung Wen; Aoki, Kazuo.

In: Journal of Statistical Physics, Vol. 177, No. 2, 01.10.2019, p. 209-251.

Research output: Contribution to journalArticle

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