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Recent results on nonlinear extended thermodynamics of real gases with six fields Part I: general theory

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Abstract

We review the recently developed theory of extended thermodynamics (ET) of real gases with six independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting near-equilibrium approximation. We discuss the polytropic and non-polytropic cases of rarefied polyatomic gases in detail, including the closure via nonlinear molecular ET.

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Acknowledgments

This work was partially supported by Japan Society of Promotion of Science (JSPS) No.15K21452 (T.A.) and No.25390150 (M.S.), and by National Group of Mathematical Physics GNFM-INdAM and by University of Bologna: FARB 2012 Project Extended Thermodynamics of Non-Equilibrium Processes from Macro- to Nano-Scale (T.R.).

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Authors and Affiliations

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

    Takashi Arima

  2. Department of Mathematics and Alma Mater Research Center on Applied Mathematics AM², University of Bologna, Bologna, Italy

    Tommaso Ruggeri

  3. Graduate School of Engineering, Nagoya Institute of Technology, Nagoya, Japan

    Masaru Sugiyama

  4. Department of Creative Engineering, National Institute of Technology, Kitakyushu College, Kitakyushu, Japan

    Shigeru Taniguchi

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  1. Takashi Arima
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  2. Tommaso Ruggeri
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  3. Masaru Sugiyama
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  4. Shigeru Taniguchi
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Correspondence to Tommaso Ruggeri.

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Arima, T., Ruggeri, T., Sugiyama, M. et al. Recent results on nonlinear extended thermodynamics of real gases with six fields Part I: general theory. Ricerche mat. 65, 263–277 (2016). https://doi.org/10.1007/s11587-016-0283-y

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  • DOI: https://doi.org/10.1007/s11587-016-0283-y

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