Shock Wave in a Polyatomic Gas Analyzed by ET14

Tommaso Ruggeri and Masaru Sugiyama
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Tommaso Ruggeri: University of Bologna, Department of Mathematics and Research Center on Applied Mathematics
Masaru Sugiyama: Nagoya Institute of Technology

Chapter Chapter 17 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 389-407 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_17

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DOI: 10.1007/978-3-030-59144-1_17

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