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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
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)
D. Gilbarg, D. Paolucci, The structure of shock waves in the continuum theory of fluids. J. Ration. Mech. Anal. 2, 617 (1953)
W. Weiss, Continuous shock structure in extended thermodynamics. Phys. Rev. E 52, R5760 (1995)
I. Müller, T. Ruggeri, Rational Extended Thermodynamics, 2nd edn. (Springer, New York, 1998)
H.A. Bethe, E. Teller, Deviations from Thermal Equilibrium in Shock Waves. Reprinted by Engineering Research Institute. University of Michigan
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)
E.F. Smiley, E.H. Winkler, Shock-tube measurements of vibrational relaxation. J. Chem. Phys. 22, 2018 (1954)
W.C. Griffith, W. Bleakney, Shock waves in gases. Am. J. Phys. 22, 597 (1954)
W. Griffith, D. Brickl, V. Blackman, Structure of shock waves in polyatomic gases. Phys. Rev. 102, 1209 (1956)
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)
W.C. Griffith, A. Kenny, On fully-dispersed shock waves in carbon dioxide. J. Fluid Mech. 3, 286 (1957)
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).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Ruggeri, T., Sugiyama, M. (2015). Application of ET6: Shock Wave and Sub-shock Formation. In: Rational Extended Thermodynamics beyond the Monatomic Gas. Springer, Cham. https://doi.org/10.1007/978-3-319-13341-6_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-13341-6_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13340-9
Online ISBN: 978-3-319-13341-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)