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Continuum Mechanics and Thermodynamics

, Volume 25, Issue 6, pp 727–737 | Cite as

Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics

  • Takashi ArimaEmail author
  • Shigeru Taniguchi
  • Tommaso Ruggeri
  • Masaru Sugiyama
Original Article

Abstract

We study the dispersion relation for sound in rarefied polyatomic gases (hydrogen, deuterium and hydrogen deuteride gases) basing on the recently developed theory of extended thermodynamics (ET) of dense gases. We compare the relation with those obtained in experiments and by the classical Navier–Stokes Fourier (NSF) theory. The applicable frequency range of the ET theory is proved to be much wider than that of the NSF theory. We evaluate the values of the bulk viscosity and the relaxation times involved in nonequilibrium processes. The relaxation time related to the dynamic pressure has a possibility to become much larger than the other relaxation times related to the shear stress and the heat flux.

Keywords

Extended thermodynamics Rarefied polyatomic gases Dispersion relation for sound Phase velocity and absorption Bulk viscosity Relaxation time 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Takashi Arima
    • 1
    Email author
  • Shigeru Taniguchi
    • 2
  • Tommaso Ruggeri
    • 3
  • Masaru Sugiyama
    • 1
  1. 1.Graduate School of EngineeringNagoya Institute of TechnologyNagoyaJapan
  2. 2.Center for Social Contribution and CollaborationNagoya Institute of TechnologyNagoyaJapan
  3. 3.Department of Mathematics and Research Center of Applied Mathematics (CIRAM)University of BolognaBolognaItaly

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