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A Study of Linear Waves Based on Extended Thermodynamics for Rarefied Polyatomic Gases

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Abstract

We study the dispersion relation for sound in rarefied polyatomic gases basing on the recently developed theory of extended thermodynamics (ET) for both dense and rarefied polyatomic gases. For hydrogen and deuterium gases in a wide temperature range where the rotational and vibrational modes in a molecule play a role, we compare the dispersion relations with those obtained in experiments and by the classical Navier–Stokes Fourier theory. From the comparison with experiments, we estimate the bulk viscosity and evaluate its temperature dependence. We study the characteristics of attenuation in a gas which has a larger relaxation time related to the dynamic pressure than the other relaxation times related to the shear stress and the heat flux by adopting the ET theory with 6 fields.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Kanagawa University, Yokohama, 221-8686, Japan

    Takashi Arima

  2. Department of Control and Information Systems Engineering, Kitakyushu National College of Technology, Kitakyushu, 802-0985, Japan

    Shigeru Taniguchi & Masaru Sugiyama

  3. Department of Mathematics & Research Center of Applied Mathematics (CIRAM), University of Bologna, Bologna, Italy

    Tommaso Ruggeri

Authors
  1. Takashi Arima
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  2. Shigeru Taniguchi
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  3. Tommaso Ruggeri
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  4. Masaru Sugiyama
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Corresponding author

Correspondence to Takashi Arima.

Additional information

This work was partially supported by Japan Society of Promotion of Science (JSPS) No. 24760055 (S.T.) and No. 25390150 (M.S.) and by National Group of Mathematical Physics GNFM-INdAM (T.R.).

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Arima, T., Taniguchi, S., Ruggeri, T. et al. A Study of Linear Waves Based on Extended Thermodynamics for Rarefied Polyatomic Gases. Acta Appl Math 132, 15–25 (2014). https://doi.org/10.1007/s10440-014-9888-x

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  • DOI: https://doi.org/10.1007/s10440-014-9888-x

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