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Development and Application of Rational Extended Thermodynamics of Dense Gases and Liquids

Research Project

Project/Area Number 18K13471
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
Research InstitutionTomakomai National College of Technology

Principal Investigator

Arima Takashi  苫小牧工業高等専門学校, 創造工学科, 准教授 (80735069)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords流体物理 / 非平衡流れ / 拡張された熱力学 / 多原子分子実在気体 / 分子内部自由度緩和 / 特性速度 / 分散関係 / 実在気体 / 多原子分子気体 / 相対論的流体力学 / 体積粘性率 / 非平衡熱力学 / モーメント方程式 / 非平衡圧力 / van der Waals気体 / 非平衡温度 / 流体 / 波動 / 相転移
Outline of Final Research Achievements

The aim of this study was to understand nonequilibrium phenomena in dense gases and liquids, which is described beyond the assumption of local thermodynamic equilibrium. We achieved this by constructing a theory based on Rational Extended Thermodynamics (RET) and applying it to the analysis of sound wave propagation. We obtained the following main results:
(i) We developed the RET theory for dense polyatomic gases in which the effect of the bulk viscosity is significant. We derived characteristic velocity and specifically investigated its upper and lower bounds, density dependence, and temperature dependence for van der Waals gases.
(ii) Using the derived RET theory, we analyzed the dispersion relation of sound waves. In particular, we successfully demonstrated that the experimental data of sound absorption in liquefied carbon dioxide can be well described by RET compared to conventional hydrodynamics theory, thereby validating the theory.

Academic Significance and Societal Importance of the Research Achievements

航空宇宙工学における衝撃波解析や医療工学における超音波・衝撃波利用など、流体中の時間・空間的に急激な変化を伴う強い非平衡流れの理解と制御が現代の流体科学・工学において求められている。本研究はこのような学術的・社会的要請に資するものである。本研究の成果は、流体物理・流体工学の幅広い分野への応用可能性がある。

Report

(6 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (24 results)

All 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (5 results) Journal Article (7 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 5 results,  Open Access: 2 results) Presentation (12 results) (of which Int'l Joint Research: 2 results,  Invited: 2 results)

  • [Int'l Joint Research] Bologna大学/Cagliari大学(イタリア)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Bologna大学/Cagliari大学(イタリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] サンクトペテルブルク州立大学(ロシア連邦)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis2022

    • Author(s)
      Arima Takashi、Carrisi Maria Cristina、Pennisi Sebastiano、Ruggeri Tommaso
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 3 Issue: 3

    • DOI

      10.1007/s42985-022-00173-4

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Relativistic Rational Extended Thermodynamics of Polyatomic Gases with a New Hierarchy of Moments2021

    • Author(s)
      Arima Takashi、Carrisi Maria Cristina、Pennisi Sebastiano、Ruggeri Tommaso
    • Journal Title

      Entropy

      Volume: 24 Issue: 1 Pages: 43-43

    • DOI

      10.3390/e24010043

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Which moments are appropriate to describe gases with internal structure in Rational Extended Thermodynamics?2021

    • Author(s)
      Arima Takashi、Carrisi Maria Cristina、Pennisi Sebastiano、Ruggeri Tommaso
    • Journal Title

      International Journal of Non-Linear Mechanics

      Volume: 137 Pages: 103820-103820

    • DOI

      10.1016/j.ijnonlinmec.2021.103820

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Molecular Extended Thermodynamics of Rarefied Polyatomic Gases with a New Hierarchy of Moments2021

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

      Fluids

      Volume: 6 Issue: 2 Pages: 62-62

    • DOI

      10.3390/fluids6020062

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Rational extended thermodynamics of dense polyatomic gases incorporating molecular rotation and vibration2020

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

      Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

      Volume: 378 Issue: 2170 Pages: 20190176-20190176

    • DOI

      10.1098/rsta.2019.0176

    • Related Report
      2019 Research-status Report
  • [Journal Article] Characteristic velocity and dispersion relation of linear waves in extended thermodynamics of a van der Waals gas2020

    • Author(s)
      Arima Takashi
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中

    • Related Report
      2019 Research-status Report
  • [Journal Article] Dispersion Relation of a Rarefied Polyatomic Gas with Molecular Relaxation Processes Based on Extended Thermodynamics2019

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

      AIP Conference Proceedings

      Volume: 印刷中

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 新しいモーメントの階層構造に基づく相対論的および非相対論的多原子分子気体に対する拡張された熱力学2022

    • Author(s)
      有馬隆司, Tommaso Ruggeri
    • Organizer
      日本物理学会 第77回年次大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 新しいモーメントの階層構造に基づく多原子分子希薄気体に対する拡張された熱力学2021

    • Author(s)
      有馬隆司, Tommaso Ruggeri
    • Organizer
      日本流体力学会 年会2021
    • Related Report
      2021 Research-status Report
  • [Presentation] Recent Developments of Nonequilibrium Thermodynamic Theories of Gases2020

    • Author(s)
      有馬隆司
    • Organizer
      日本航空宇宙学会関西支部分科会「非平衡流体への運動学的アプローチ」
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] 拡張された熱力学から多温度モデルへの緩和極限2020

    • Author(s)
      有馬隆司
    • Organizer
      日本流体力学会 年会2020
    • Related Report
      2020 Research-status Report
  • [Presentation] 実在気体中の波動伝播に対する体積粘性効果の検証2020

    • Author(s)
      有馬隆司
    • Organizer
      日本物理学会 2020年秋季大会
    • Related Report
      2020 Research-status Report
  • [Presentation] Dispersion Relation of a Rarefied Polyatomic Gas with Molecular Relaxation Processes Based on Rational Extended Thermodynamics with 15 Fields2019

    • Author(s)
      Arima Takashi
    • Organizer
      20th Conference on Waves and Stability in Continuous Media
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 拡張された熱力学に基づく実在気体理論2019

    • Author(s)
      有馬隆司、Ruggeri Tommaso、杉山勝
    • Organizer
      日本流体力学会 年会2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 分子内部運動の緩和を伴う多原子分子・希薄気体の力学 -拡張された熱力学の展開-2019

    • Author(s)
      有馬隆司、Ruggeri Tommaso、杉山勝
    • Organizer
      第65回理論応力学講演会・第22回土木学会応用力学シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] 多原子分子希薄気体中の分子内部自由度緩和に対する拡張された熱力学とその音波解析への応用II2019

    • Author(s)
      有馬隆司、杉山勝
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Rational Extended Thermodynamics for Molecular Relaxation Processes in Rarefied Polyatomic Gases2018

    • Author(s)
      T. Arima, T. Ruggeri and M. Sugiyama
    • Organizer
      31st International Symposium on Rarefied Gas Dynamics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 多原子分子希薄気体中の分子内部自由度緩和に対する拡張された熱力学とその音波解析への応用2018

    • Author(s)
      有馬隆司、T. Ruggeri、杉山勝
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 多原子分子希薄気体中の分子回転・振動緩和に対する拡張された熱力学2018

    • Author(s)
      有馬隆司、T. Ruggeri、杉山勝
    • Organizer
      日本流体力学会 年会2018
    • Related Report
      2018 Research-status Report

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Published: 2018-04-23   Modified: 2024-01-30  

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