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Development of extended thermodynamics of gas mixture and its applications

Research Project

Project/Area Number 15K21452
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Fluid engineering
Research InstitutionKanagawa University

Principal Investigator

Arima Takashi  神奈川大学, 工学部, 助教 (80735069)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords数理工学 / 流体数理 / 非平衡物理 / 拡張された熱力学 / 多成分流体 / 分子内部自由度緩和 / 非平衡温度 / 非平衡圧力 / 非平衡熱力学 / 流体工学 / 実在気体 / 体積粘性率 / 非平衡熱・統計力学 / 交差効果 / 非線型構成式
Outline of Final Research Achievements

The aim of the project had been to understand the nonequilibrium phenomena in a gas mixture out of local thermodynamic equilibrium. Based on rational extended thermodynamics (ET), the following results are obtained. (1) We have proposed an ET theory for a rarefied polyatomic gas mixture and obtained its general properties. In particular, we have derived the closed system of the field equations for a gas in which the effect of the bulk viscosity is much larger than the one of the shear viscosity and heat conductivity. We have also clarified the characteristic features of the theory. (2) We have succeeded to develop the ET theory. In particular, we have proposed the ET theories for a dense gases and for a rarefied polyatomic gases with molecular relaxation processes.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (28 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (3 results) Journal Article (13 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 13 results,  Open Access: 5 results,  Acknowledgement Compliant: 6 results) Presentation (10 results) (of which Int'l Joint Research: 6 results,  Invited: 4 results) Remarks (1 results) Funded Workshop (1 results)

  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Extended thermodynamics of dense polyatomic gases: modeling of molecular energy exchange2018

    • Author(s)
      Arima Takashi、Sugiyama Masaru
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 91-101

    • DOI

      10.1007/s11587-018-0386-8

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields2018

    • Author(s)
      Arima Takashi、Sugiyama Masaru
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 211-224

    • DOI

      10.1007/s11587-018-0399-3

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extended Thermodynamics of Rarefied Polyatomic Gases: 15-Field Theory Incorporating Relaxation Processes of Molecular Rotation and Vibration2018

    • Author(s)
      Arima Takashi、Ruggeri Tommaso、Sugiyama Masaru
    • Journal Title

      Entropy

      Volume: 20 Issue: 4 Pages: 301-301

    • DOI

      10.3390/e20040301

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Shock wave structure in rarefied polyatomic gases with large relaxation time for the dynamic pressure2018

    • Author(s)
      Taniguchi Shigeru、 Arima Takashi、Ruggeri Tommaso、Sugiyama Masaru
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Six-field extended thermodynamics models representing molecular energy exchange in a dense polyatomic gas2018

    • Author(s)
      Arima Takashi
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rational extended thermodynamics of a rarefied polyatomic gas with molecular relaxation processes2017

    • Author(s)
      Arima Takashi、Ruggeri Tommaso、Sugiyama Masaru
    • Journal Title

      Physical Review E

      Volume: 96 Issue: 4 Pages: 042143-042143

    • DOI

      10.1103/physreve.96.042143

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Galilean Invariance and Entropy Principle for a System of Balance Laws of Mixture Type2017

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Journal Title

      Rendiconti Lincei Matematica e Applicazioni

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Duality principle from rarefied to dense gas and extended thermodynamics with six fields2017

    • Author(s)
      T. Arima, T. Ruggeri and M. Sugiyama
    • Journal Title

      Physical Review Fluids

      Volume: 2 Issue: 1 Pages: 013401-013401

    • DOI

      10.1103/physrevfluids.2.013401

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Monatomic gas as a singular limit of polyatomic gas in molecular extended thermodynamics with many moments2016

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Journal Title

      Annals of Physics

      Volume: 印刷中 Pages: 83-109

    • DOI

      10.1016/j.aop.2016.04.015

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures2016

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 1-13

    • DOI

      10.1007/s11587-016-0279-7

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Recent results on nonlinear extended thermodynamics of real gases with six fields. Part I: general theory2016

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 263-277

    • DOI

      10.1007/s11587-016-0283-y

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Recent results on nonlinear extended thermodynamics of real gases with six fields. Part II: shock wave structure2016

    • Author(s)
      S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 279-288

    • DOI

      10.1007/s11587-016-0280-1

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Overshoot of the nonequilibrium temperature in the shock wave structure of a rarefied polyatomic gas subject to the dynamic pressure2016

    • Author(s)
      S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
    • Journal Title

      International Journal of Non-Linear Mechanics

      Volume: 79 Pages: 66-75

    • DOI

      10.1016/j.ijnonlinmec.2015.11.003

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中の内部緩和過程の記述2018

    • Author(s)
      有馬隆司、Ruggeri Tommaso、杉山勝
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 液体・濃密気体に適用可能な 6 変数の拡張された熱力学の構築2017

    • Author(s)
      有馬隆司、Ruggeri Tommaso、杉山勝
    • Organizer
      日本物理学会2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Extended thermodynamics of dense polyatomic gases with nonequilibrium temperatures2017

    • Author(s)
      Arima Takashi、Ruggeri Tommaso、Sugiyama Masaru
    • Organizer
      19th Conference on Waves and Stability in Continuous Media
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Extended thermodynamics with six fields for dense polyatomic gases2017

    • Author(s)
      T. Arima
    • Organizer
      Nonequilibrium thermodynamics and statistical physics: From rational modeling to its applications
    • Place of Presentation
      Hakata, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Comparison between extended thermodynamic of rarefied monatomic and polyatomic gases2016

    • Author(s)
      T. Arima
    • Organizer
      Physically-Based Modelling of Polyatomic Gases and Phase Transitions
    • Place of Presentation
      Okinawa Institute of Science and Technology Graduate University, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 拡張された熱力学における単原子分子希薄気体と多原子分子希薄気体の記述について2015

    • Author(s)
      有馬隆司、T. Ruggeri、杉山勝、谷口茂
    • Organizer
      日本物理学会2015年秋季大会
    • Place of Presentation
      関西大学、千里山キャンパス
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
  • [Presentation] A Singular Limit of Rarefied Polyatomic Gas to Monatomic Gas in Molecular Extended Thermodynamics 学会名など:International Conference on Waves and Stability in Continuum Mechanics (WASCOM2015)2015

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Organizer
      International Conference on Waves and Stability in Continuum Mechanics (WASCOM2015)
    • Place of Presentation
      Cetraro (CS), Italy
    • Year and Date
      2015-06-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonlinear extended thermodynamics of real gases with six fields, Part I: Macroscopic theory and its comparison with the Meixner theory2015

    • Author(s)
      T. Arima, T. Ruggeri, M. Sugiyama and S. Taniguchi
    • Organizer
      International Conference on Waves and Stability in Continuum Mechanics (WASCOM2015)
    • Place of Presentation
      Cetraro (CS), Italy
    • Year and Date
      2015-06-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonlinear extended thermodynamics of real gases with six fields, Part II: Shock wave structure2015

    • Author(s)
      S. Taniguchi, T. Arima, T. Ruggeri and M. Sugiyama
    • Organizer
      International Conference on Waves and Stability in Continuum Mechanics (WASCOM2015)
    • Place of Presentation
      Cetraro (CS), Italy
    • Year and Date
      2015-06-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 多原子分子気体に対する非線型の拡張された熱力学理論とその衝撃波構造への応用2015

    • Author(s)
      谷口茂、有馬隆司、杉山勝
    • Organizer
      第14回日本流体力学会中四国・九州支部総会・講演会
    • Place of Presentation
      九州大学、伊都キャンパス
    • Year and Date
      2015-05-16
    • Related Report
      2015 Research-status Report
  • [Remarks] Ricerche di Matematica誌のHighlighted Articlesに選出

    • URL

      http://www.kanagawa-u.ac.jp/research/news/details_14759.html

    • Related Report
      2016 Research-status Report
  • [Funded Workshop] Nonequilibrium thermodynamics and statistical physics: From rational modeling to its applications2017

    • Place of Presentation
      JR Hakata City (9th Floor, Conference Room 2), Fukuoka, Japan
    • Year and Date
      2017-03-16
    • Related Report
      2016 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2019-03-29  

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