Shock Wave and Subshock Formation Analyzed by ET6

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 18 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 409-431 from Springer

Abstract: Abstract In this chapter, we show the usefulness of both linear and nonlinear ET6 theories for the analysis of shock wave structure in a rarefied polyatomic gas. Firstly we compare the theoretical predictions derived from the linear ET6 theory with those from the ET14 theory. We see, in particular, that the thin layer in Type C with finite thickness described by the ET14 theory is replaced by a discontinuous jump, which is a subshock. The strength and the stability of a subshock is also discussed. Secondly, by using the nonlinear ET6 theory, we show that the linear ET6 is reliable at least up to the Mach number M 0 = 5. The temperature overshoot at a subshock in terms of Meixner’s temperature (kinetic temperature) defined in Sect. 12.3 is discovered. Lastly, we comment on the numerical results by using the kinetic theory briefly.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_18

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DOI: 10.1007/978-3-030-59144-1_18

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