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Shock Wave in a Polyatomic Gas Analyzed by ET14

In: Classical and Relativistic Rational Extended Thermodynamics of Gases

Author

Listed:
  • Tommaso Ruggeri

    (University of Bologna, Department of Mathematics and Research Center on Applied Mathematics)

  • Masaru Sugiyama

    (Nagoya Institute of Technology)

Abstract

In this chapter, we study shock wave structure in a rarefied polyatomic gas by using the ET14 theory. We show how the ET14 theory can overcome the difficulties encountered in the previous approaches: Bethe–Teller approach and Gilbarg–Paolucci approach. Firstly, the predictions derived from the ET14 theory are shown and compared with the results from the Navier–Stokes and Fourier (NSF) theory. Secondly, the Bethe–Teller theory is reexamined in the light of the ET14 theory. Lastly, comparison between the theoretical predictions derived from the ET14 theory and the experimental data is made, where we show a very good agreement. We are able to explain in a unified manner the three different shock wave profiles Types A, B, and C (Fig. 1.2 ) for increasing Mach number. Arima, T. Taniguchi, S. Ruggeri, T. Sugiyama, M. Bethe, H.A. Teller, E. Gilbarg, D. Paolucci, D.

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2021. "Shock Wave in a Polyatomic Gas Analyzed by ET14," Springer Books, in: Classical and Relativistic Rational Extended Thermodynamics of Gases, chapter 0, pages 389-407, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-59144-1_17
    DOI: 10.1007/978-3-030-59144-1_17
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