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Analysis of non-linear waves in polyatomic gases based on extended thermodynamics and its engineering applications

Research Project

Project/Area Number 16K17555
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Computational science
Research InstitutionKitakyushu National College of Technology

Principal Investigator

Taniguchi Shigeru  北九州工業高等専門学校, 生産デザイン工学科, 准教授 (00626880)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords数理工学 / 非平衡熱・統計力学 / 多原子分子気体 / 衝撃波 / 数値解析 / 拡張された熱力学 / 圧縮性流体 / 混合気体 / 非線型波動
Outline of Final Research Achievements

We proposed a method to analyze non-linear waves in polyatomic gases on the basis of extended thermodynamics (ET) and obtained the following results:
(1) The structure of strong shock waves in a rarefied polyatomic gas was explained quantitatively. (2) Properties of the time evolution of non-linear waves were clarified numerically. (3) Counter examples on the conjecture of the sub-shock formation were successfully constructed. (4) A similarity solution of spherical shock waves was derived on the basis of the ET theory. (5) An extended thermodynamics theory for mixtures of polyatomic gases was developed.

Academic Significance and Societal Importance of the Research Achievements

本研究で提案した、「拡張された熱力学」(ET)理論に基づく手法により、従来の理論では解析できなかった、強い非平衡状態にある多原子分子気体中の非線型波動の性質を説明できるようになった。衝撃波が機体周りで発生する航空宇宙工学分野での設計などに新たな指針を与えることができる。
直接の測定が難しい、気体の体積粘性率などの精確な値を求める方法にもつながるため、物性物理・材料工学など他分野のさらなる発展の基礎にもなると期待される。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (20 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (3 results) Journal Article (6 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 6 results,  Open Access: 1 results) Presentation (9 results) (of which Int'l Joint Research: 4 results,  Invited: 3 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
      2018 Annual Research Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

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

    • Related Report
      2016 Research-status Report
  • [Journal Article] Shock waves in hyperbolic systems of non-equilibrium thermodynamics2019

    • Author(s)
      Tommaso Ruggeri and Shigeru Taniguchi
    • Journal Title

      Applied Wave Mathematics II

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Shock wave structure in rarefied polyatomic gases with large relaxation time for the dynamic pressure2018

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

      Journal of Physics: Conference Series

      Volume: 1035 Pages: 012009-012009

    • DOI

      10.1088/1742-6596/1035/1/012009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A 2 $$\times $$× 2 simple model in which the sub-shock exists when the shock velocity is slower than the maximum characteristic velocity2018

    • Author(s)
      Shigeru Taniguchi and Tommaso Ruggeri
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 119-129

    • DOI

      10.1007/s11587-018-0380-1

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the sub-shock formation in extended thermodynamics2018

    • Author(s)
      Shigeru Taniguchi and Tommaso Ruggeri
    • Journal Title

      International Journal of Non-Linear Mechanics

      Volume: 99 Pages: 69-78

    • DOI

      10.1016/j.ijnonlinmec.2017.10.024

    • NAID

      130007735998

    • Related Report
      2017 Research-status 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)
      Takashi Arima, Tommaso Ruggeri, Masaru Sugiyama and Shigeru Taniguchi
    • Journal Title

      Rendiconti Lincei - Matematica e Applicazioni

      Volume: 28 Issue: 3 Pages: 495-513

    • DOI

      10.4171/rlm/773

    • Related Report
      2017 Research-status 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)
      Takashi Arima, Tommaso Ruggeri, Masaru Sugiyama and Shigeru Taniguchi
    • Journal Title

      Rendiconti Lincei Matematica e Applicazioni

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] 多原子分子希薄気体中における球面衝撃波の拡張された熱力学に基づく相似解2019

    • Author(s)
      ○永岡零士、谷口茂
    • Organizer
      平成30年度衝撃波シンポジウム
    • Related Report
      2018 Annual Research Report
  • [Presentation] 拡張された熱力学に基づく多原子分子希薄気体中の球面衝撃波の解析2019

    • Author(s)
      ○永岡零士、谷口茂
    • Organizer
      日本機械学会九州支部第72期総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 拡張された熱力学におけるsub-shock形成2018

    • Author(s)
      ○谷口茂、T. Ruggeri
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 拡張された熱力学におけるsub-shock形成の解析2018

    • Author(s)
      谷口茂、Tommaso Ruggeri
    • Organizer
      平成29年度衝撃波シンポジウム (東北大学)
    • Related Report
      2017 Research-status Report
  • [Presentation] Sub-shock formation with slower shock velocity than the maximum characteristic velocity2017

    • Author(s)
      Shigeru Taniguchi and Tommaso Ruggeri
    • Organizer
      International Conference on Waves and Stability in Continuum Media (Bologna, Italy)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 多原子分子気体の拡張された熱力学に基づく衝撃波管問題の解析2017

    • Author(s)
      〇石橋涼汰、谷口茂
    • Organizer
      日本機械学会九州学生会 第 48 回学生員卒業研究発表講演会
    • Place of Presentation
      琉球大学
    • Related Report
      2016 Research-status Report
  • [Presentation] Shock waves in polyatomic gases2017

    • Author(s)
      Shigeru Taniguchi
    • Organizer
      Meeting on "Nonequilibrium thermodynamics and statistical physics: From rational modeling to its applications"
    • Place of Presentation
      JR Hakata City, Fukuoka, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Comparison between extended thermodynamic of rarefied monatomic and polyatomic gases2016

    • Author(s)
      〇Takashi Arima, Tommaso Ruggeri, Masaru Sugiyama and Shigeru Taniguchi
    • Organizer
      Physically-Based Modeling of Polyatomic Gases and Phase Transitions
    • Place of Presentation
      OIST (Okinawa Institute of Science and Technology Graduate University) Seaside House, Okinawa, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-linear Extended Thermodynamics of Real Gases with Six Fields and Its Application to the Shock Wave Structure2016

    • Author(s)
      〇Shigeru Taniguchi, Takashi Arima, Tommaso Ruggeri and Masaru Sugiyama
    • Organizer
      Physically-Based Modeling of Polyatomic Gases and Phase Transitions
    • Place of Presentation
      OIST (Okinawa Institute of Science and Technology Graduate University) Seaside House, Okinawa, Japan
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] 北九州工業高等専門学校・谷口研究室の研究紹介 web ページ

    • URL

      http://w3-cise.kct.ac.jp/taniguchi/research.html

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
  • [Funded Workshop] Meeting on "Nonequilibrium thermodynamics and statistical physics: From rational modeling to its applications"2017

    • Place of Presentation
      JR Hakata City, Fukuoka, Japan
    • Year and Date
      2017-03-16
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2020-03-30  

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