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Development of a new measure for fluid mixing and diffusion using Kolmogorov complexity

Research Project

Project/Area Number 16K06084
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fluid engineering
Research InstitutionThe University of Tokushima

Principal Investigator

ICHIMIYA Masashi  徳島大学, 大学院社会産業理工学研究部(理工学域), 教授 (50193454)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Keywords複雑さ / 乱流 / 混合層 / エントロピー / コルモゴロフ複雑度 / 情報エントロピー / 乱流遷移 / 正規化圧縮距離 / 再層流化 / 境界層 / 流体工学
Outline of Final Research Achievements

To obtain the complexity of time sequence of fluid velocity signal, information entropy and permutation entropy were applied. They were applied into a mixing layer between jet and surrounding fluid as a typical example of fluid mixing process.
The information entropy of the fluctuating velocity increased monotonically within the turbulence transition processes in the mixing layer. Therefore, it was successfully used as the measure for the transition process. The permutation entropy of the fluctuating velocity varied complicatedly because of the increase of the fluctuating velocity and change of the manner of the fluctuation; from periodic to irregular fluctuation.

Academic Significance and Societal Importance of the Research Achievements

我が国ではエネルギー技術の一層の革新が求められている。このため発電効率のさらなる向上や空調設備のなお一層の効率化が重要である。また、原子力発電所事故での放射能汚染の拡散と予測に対しては、流体の混合拡散の重要性を改めて認識させた。
このため流体混合の目安つまり測度を客観的に、かつ実用的に使いやすい形で定める必要がある。本研究では新しい観点からコルモゴロフ複雑度に注目し、この混合や拡散の測度としての妥当性を明らかにした。

Report

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

    (12 results)

All 2019 2018 2017 2016

All Presentation (12 results) (of which Int'l Joint Research: 1 results)

  • [Presentation] 周期撹乱の振幅が二次元混合層に与える影響2019

    • Author(s)
      薮内涼、一宮昌司
    • Organizer
      日本機械学会中国四国支部第57期総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 噴流撹乱による円管内助走部の乱流遷移(助走部後段での孤立乱流塊の特性)2019

    • Author(s)
      藤原拓章、一宮昌司
    • Organizer
      日本機械学会中国四国支部第57期総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 振動する垂直平板後流の位相遅れ2019

    • Author(s)
      菊池道裕、一宮昌司
    • Organizer
      日本機械学会中国四国支部第57期総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 順圧力勾配下の単一突起による乱流くさびの特性(横方向速度の検討)2019

    • Author(s)
      渡代大地、一宮昌司
    • Organizer
      日本機械学会中国四国支部第57期総会・講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 情報量を用いた混合層の層流―乱流遷移過程の解析2018

    • Author(s)
      一宮昌司、中村育雄
    • Organizer
      日本流体力学会年会2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 順圧力勾配下での単一突起により発生する乱流くさびの特性2018

    • Author(s)
      杉山友哉、一宮昌司
    • Organizer
      日本機械学会中国四国支部第56期総会・講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 噴流撹乱を用いた円管内助走部後段における乱流遷移に関する研究2018

    • Author(s)
      中津亮太郎、一宮昌司
    • Organizer
      日本機械学会中国四国支部第56期総会・講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 振動板の後流で生じる速度の位相遅れ2018

    • Author(s)
      福田竜輔、一宮昌司
    • Organizer
      日本機械学会中国四国支部第56期総会・講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 外部撹乱が2次元混合層に及ぼす効果2017

    • Author(s)
      薮内涼、一宮昌司
    • Organizer
      第19回日本流体力学会中四国・九州支部講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 各種情報量による混合層の層流―乱流遷移過程の解析2017

    • Author(s)
      一宮昌司、中村育雄
    • Organizer
      日本流体力学会年会2017
    • Related Report
      2017 Research-status Report
  • [Presentation] Randomness Representation with Kolmogorov Complexity in Laminar-Turbulent Transition Process of a Mixing Layer2016

    • Author(s)
      一宮昌司
    • Organizer
      20th Australasian Fluid Mechanics Conference
    • Place of Presentation
      Perth, Australia
    • Year and Date
      2016-12-05
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 乱流境界層の再層流化過程における複雑さ解析2016

    • Author(s)
      一宮昌司、中村育雄
    • Organizer
      日本流体力学会年会2016
    • Place of Presentation
      名古屋工業大学(愛知県名古屋市)
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report

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

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