Thermodynamic theory of the shock wave structure in a rarefied polyatomic gas: Beyond the Bethe-Teller theory

Shigeru Taniguchi, Takashi Arima, Tommaso Ruggeri, and Masaru Sugiyama
Phys. Rev. E 89, 013025 – Published 31 January 2014

Abstract

The structure of a shock wave in a rarefied polyatomic gas is studied on the basis of the theory of extended thermodynamics. Three types of the shock wave structure observed in experiments, that is, the nearly symmetric shock wave structure (type A, small Mach number), the asymmetric structure (type B, moderate Mach number), and the structure composed of thin and thick layers (type C, large Mach number), are explained by the theory in a unified way. The theoretical prediction of the profile of the mass density agrees well with the experimental data. The well-known Bethe-Teller theory of the shock wave structure in a polyatomic gas is reexamined in the light of the present theory.

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  • Received 8 October 2013

DOI:https://doi.org/10.1103/PhysRevE.89.013025

©2014 American Physical Society

Authors & Affiliations

Shigeru Taniguchi1,*, Takashi Arima2,†, Tommaso Ruggeri3,‡, and Masaru Sugiyama1,§

  • 1Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan
  • 2Center for Social Contribution and Collaboration, Nagoya Institute of Technology, Nagoya 466-8555, Japan
  • 3Department of Mathematics, University of Bologna, Bologna, Italy

  • *taniguchi@stat.nitech.ac.jp
  • tks@stat.nitech.ac.jp
  • tommaso.ruggeri@unibo.it
  • §sugiyama@nitech.ac.jp

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Issue

Vol. 89, Iss. 1 — January 2014

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