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Analysis of shock waves with sub-shocks based on rational extended thermodynamics

Research Project

Project/Area Number 19K04204
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 19010:Fluid engineering-related
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) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2022: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2021: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2020: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2019: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords衝撃波工学 / 非平衡熱・統計力学 / sub-shock / 拡張された熱力学 / 多原子分子気体 / 混合気体 / 球面衝撃波 / 円筒衝撃波 / 相似解
Outline of Research at the Start

本研究では、従来の理論よりも広い適用可能範囲を持つ「拡張された熱力学」理論を採用し、衝撃波の解析を行う。強い衝撃波の場合、衝撃波の解は常に連続となるわけではなく、不連続面(sub-shock)が現れることが知られている。このようなsub-shockをともなう衝撃波は、これまで十分な解析がなされてこなかった。本研究ではこれに注目して理論的・数値的に解析することにより、その性質を明らかにし、得られた知見を工学的に応用する。

Outline of Final Research Achievements

We have analyzed strong shock waves with discontinuities (sub-shocks) based on the Extended Thermodynamics (ET) theory.
(1) For spherical and cylindrical shock waves propagating in polyatomic gases, we derived new similarity solutions based on the ET theory. Furthermore, we clarified the properties of the time evolution of spherical and cylindrical shock waves through numerical calculations.
(2) Concerning the structure near the shock front of shock waves propagating in a binary mixture of polyatomic gases, we discovered a new scenario for sub-shock formation and successfully achieved a complete classification of the parameter dependence of the sub-shock formation.

Academic Significance and Societal Importance of the Research Achievements

拡張された熱力学(ET)理論に基づく解析により、レーザー照射や爆発などによって生じる球面衝撃波や円筒衝撃波について、従来のSedov-von Neumann-Taylor解を特別な場合として含むより広い理論的枠組みを提案できた。
多原子分子混合気体中のsub-shockをともなう衝撃波構造の解析においては、理論予測と実験結果の比較を行うことにより、体積粘性率や気体間の相互作用の強さを表す物性値などの測定が難しい量の正確な評価につながり、気体分子運動論や物性理論の発展にも寄与するものと期待される。

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (25 results)

All 2024 2023 2022 2021 2019 Other

All Int'l Joint Research (5 results) Journal Article (6 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 6 results,  Open Access: 1 results) Presentation (11 results) (of which Int'l Joint Research: 3 results,  Invited: 3 results) Remarks (3 results)

  • [Int'l Joint Research] ボローニャ大学/メッシーナ大学/パルマ大学(イタリア)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] ボローニャ大学(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
      2020 Research-status Report
  • [Int'l Joint Research] ボローニャ大学(イタリア)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Shock structure and sub-shocks formation in a mixture of polyatomic gases with large bulk viscosity2023

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

      Ricerche di Matematica

      Volume: 73 Issue: S1 Pages: 261-274

    • DOI

      10.1007/s11587-023-00788-8

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases2023

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

      Communications on Applied Mathematics and Computation

      Volume: - Issue: 4 Pages: 2196-2214

    • DOI

      10.1007/s42967-023-00320-7

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A complete classification of sub-shocks in the shock structure of a binary mixture of Eulerian gases with different degrees of freedom2022

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

      Physics of Fluids

      Volume: 34 Issue: 6 Pages: 066116-066116

    • DOI

      10.1063/5.0094835

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sub-shock formation in shock structure of a binary mixture of polyatomic gases2021

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

      Rendiconti Lincei - Matematica e Applicazioni

      Volume: 32 Issue: 2 Pages: 167-179

    • DOI

      10.4171/rlm/932

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Effect of the dynamic pressure on the similarity solution of cylindrical shock waves in a rarefied polyatomic gas2021

    • Author(s)
      Shigeru Taniguchi
    • Journal Title

      Ricerche di Matematica

      Volume: 70 Issue: 1 Pages: 195-206

    • DOI

      10.1007/s11587-020-00505-9

    • Related Report
      2021 Research-status Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sub-shock Formation in Shock Structure of a Binary Mixture of Polyatomic Gases2021

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

      Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.

      Volume: -

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] 混合気体中におけるサブショック形成の条件に基づく衝撃波構造の分類2024

    • Author(s)
      松本悠, 谷口茂
    • Organizer
      2023年度衝撃波シンポジウム
    • Related Report
      2023 Annual Research Report
  • [Presentation] 多原子分子気体中の円筒および球面衝撃波の拡張された熱力学に基づく数値解析2024

    • Author(s)
      地曵結衣, 谷口茂
    • Organizer
      2023年度衝撃波シンポジウム
    • Related Report
      2023 Annual Research Report
  • [Presentation] Shock structure and sub-shocks formation in a binary mixture of polyatomic gases based on rational extended thermodynamics2023

    • Author(s)
      Tommaso Ruggeri, 〇Shigeru Taniguchi
    • Organizer
      XXII International Conference on Waves and Stability in Continuous Media
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] サブショック形成の条件に基づく混合気体中の衝撃波構造の分類2023

    • Author(s)
      松本悠, 谷口茂
    • Organizer
      第129回日本物理学会九州支部例会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Sub-Shocks formation in the Shock Structure of Hyperbolic Systems with a convex extension with an application to a Binary Mixture of Gases2022

    • Author(s)
      Tommaso Ruggeri, Shigeru Taniguchi
    • Organizer
      XXI International Conference on Waves and Stability in Continuous Media
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 拡張された熱力学に基づく多原子分子気体中を伝播する衝撃波の次元性による影響2022

    • Author(s)
      山北暖人、谷口茂
    • Organizer
      日本機械学会 第100期 流体工学部門 講演会
    • Related Report
      2022 Research-status Report
  • [Presentation] 混合気体中を伝播する超音波の分散関係における動圧の影響2022

    • Author(s)
      常盤 俊介、谷口 茂
    • Organizer
      日本機械学会 九州支部 九州学生会 第53回学生員卒業研究発表講演会
    • Related Report
      2021 Research-status Report
  • [Presentation] 多原子分子気体中を伝播する円筒衝撃波の相似解に対する動圧の影響2021

    • Author(s)
      谷口茂
    • Organizer
      2020年度衝撃波シンポジウム
    • Related Report
      2020 Research-status Report
  • [Presentation] 混合気体中を伝播する超音波の拡張された熱力学に基づく解析2021

    • Author(s)
      梶川拓海, 谷口茂
    • Organizer
      日本機械学会 九州支部 九州学生会第52回学生員卒業研究発表講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] 多原子分子気体中を伝播する球面衝撃波の拡張された熱力学に基づく数値解析2021

    • Author(s)
      山北 暖人, 谷口茂
    • Organizer
      日本機械学会 九州支部 九州学生会第52回学生員卒業研究発表講演会
    • Related Report
      2020 Research-status Report
  • [Presentation] On the similarity solution of strong spherical shock waves based on extended thermodynamics2019

    • Author(s)
      Shigeru Taniguchi and Tommaso Ruggeri
    • Organizer
      XX International Conference on Waves and Stability in Continuum Media (Maiori, Italy)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] 北九州高専谷口研究室ホームページ

    • URL

      https://taniguchi.apps.kct.ac.jp/

    • Related Report
      2023 Annual Research Report
  • [Remarks] 北九州高専谷口研究室ホームページ

    • URL

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

    • Related Report
      2022 Research-status Report 2021 Research-status Report 2020 Research-status Report
  • [Remarks] 北九州高専谷口研究室ホームページ

    • URL

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

    • Related Report
      2019 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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