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2015 | OriginalPaper | Chapter

13. Application of ET6: Shock Wave and Sub-shock Formation

Authors : Tommaso Ruggeri, Masaru Sugiyama

Published in: Rational Extended Thermodynamics beyond the Monatomic Gas

Publisher: Springer International Publishing

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Abstract

In this chapter, we show the usefulness of the ET6 theory for the analysis of the shock wave structure in a rarefied polyatomic gas. We compare the theoretical prediction derived from the ET6 theory with that 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, the sub-shock. The strength and the stability of a sub-shock is also discussed. Lastly the temperature overshoot at a sub-shock in terms of Meixner’s temperature is shown.

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previous chapter Molecular Non-linear ET6 for Rarefied Polyatomic Gas
next chapter Acceleration Wave, K-Condition, and Global Existence in ET6
Literature
1.
S. Taniguchi, T. Arima, T. Ruggeri, M. Sugiyama, Effect of dynamic pressure on the shock wave structure in a rarefied polyatomic gas. Phys. Fluids 26, 016103 (2014)CrossRef
2.
S. Taniguchi, T. Arima, T. Ruggeri, M. Sugiyama, Thermodynamic theory of the shock wave structure in a rarefied polyatomic gas: beyond the Bethe-Teller theory. Phys. Rev. E 89, 013025 (2014)CrossRef
3.
T. Arima, S. Taniguchi, T. Ruggeri, M. Sugiyama, Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics. Contin. Mech. Thermodyn. 25, 727 (2013)MathSciNetCrossRef
4.
D. Gilbarg, D. Paolucci, The structure of shock waves in the continuum theory of fluids. J. Ration. Mech. Anal. 2, 617 (1953)MathSciNetMATH
5.
W. Weiss, Continuous shock structure in extended thermodynamics. Phys. Rev. E 52, R5760 (1995)CrossRef
6.
I. Müller, T. Ruggeri, Rational Extended Thermodynamics, 2nd edn. (Springer, New York, 1998)CrossRefMATH
7.
H.A. Bethe, E. Teller, Deviations from Thermal Equilibrium in Shock Waves. Reprinted by Engineering Research Institute. University of Michigan
8.
E.F. Smiley, E.H. Winkler, Z.I. Slawsky, Measurement of the vibrational relaxation effect in CO2 by means of shock tube interferograms. J. Chem. Phys. 20, 923 (1952)CrossRef
9.
E.F. Smiley, E.H. Winkler, Shock-tube measurements of vibrational relaxation. J. Chem. Phys. 22, 2018 (1954)CrossRef
10.
W.C. Griffith, W. Bleakney, Shock waves in gases. Am. J. Phys. 22, 597 (1954)CrossRef
11.
W. Griffith, D. Brickl, V. Blackman, Structure of shock waves in polyatomic gases. Phys. Rev. 102, 1209 (1956)CrossRef
12.
N.H. Johannesen, H.K. Zienkiewicz, P.A. Blythe, J.H. Gerrard, Experimental and theoretical analysis of vibrational relaxation regions in carbon dioxide. J. Fluid Mech. 13, 213 (1962)CrossRef
13.
W.C. Griffith, A. Kenny, On fully-dispersed shock waves in carbon dioxide. J. Fluid Mech. 3, 286 (1957)CrossRef
14.
S. Taniguchi, T. Arima, T. Ruggeri, M. Sugiyama, Overshoot of the nonequilibrium temperature in the shock wave structure of a rarefied polyatomic gas subject to the dynamic pressure (submitted).
Metadata
Title
Application of ET6: Shock Wave and Sub-shock Formation
Authors
Tommaso Ruggeri
Masaru Sugiyama
Copyright Year
2015
Book
Rational Extended Thermodynamics beyond the Monatomic Gas

Print ISBN: 978-3-319-13340-9

Electronic ISBN: 978-3-319-13341-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-13341-6_13

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