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Hydrodynamic theory of flying and swimming of animals

Research Project

Project/Area Number 21740278
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionHokkaido University

Principal Investigator

IIMA Makoto  Hokkaido University, 電子科学研究所, 助教 (90312412)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2009: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords流体力学 / 生物物理 / 応用数学 / 生物流体力学
Research Abstract

The theory of animals' flying and swimming based on the Navier-Stokes equations in two-dimensional space was extended to the three-dimensional case. The procedure to construct the two-dimensional theory was applied to the three-dimensional case. It was shown that the paradox of hovering insect in two-dimensional space is resolved in the three-dimensional case. The stability of the hovering was analyzed for some cases. For the propulsion at low Reynolds numbers, a hydrodynamic model which imitates protein machine was developed. This model has been analyzed in terms of controlling period, increment in a period, and energy efficiency.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (25 results)

All 2011 2010 2009

All Journal Article (6 results) (of which Peer Reviewed: 1 results) Presentation (19 results)

  • [Journal Article] 3次元空間における空中停止飛行の理論解析2010

    • Author(s)
      飯間信
    • Journal Title

      日本流体力学会年会2010拡張要旨集

      Pages: 1-2

    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Journal Article] Flow transitions in the surface switching of rotating fluid2009

    • Author(s)
      Y.Tasaka, M.Iima
    • Journal Title

      J.Fluid Mech. 636

      Pages: 475-484

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An application of generalized Blasius formula to insect's flapping flight2009

    • Author(s)
      M.Iima
    • Journal Title

      Proceedings of ISABMEC 2009

    • Related Report
      2010 Final Research Report
  • [Journal Article] 飛翔と泳ぎの数理解析2009

    • Author(s)
      飯間信
    • Journal Title

      日本応用数理学会2009年度年会講演予稿集

      Pages: 213-214

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Journal Article] アサギマダラ飛行の2次元モデルにおける大摂動からの回復過程に関する数値的研究2009

    • Author(s)
      飯間信、平井規央、泉田啓
    • Journal Title

      日本流体力学会年会2009講演論文集

      Pages: 36013-36013

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Journal Article] An application of generalized Blasius formula to insect's flapping flight2009

    • Author(s)
      飯間信
    • Journal Title

      Proceedings of ISABMEC 2009

    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical simulation and mathematical analysis of flapp ing flight problem2011

    • Author(s)
      M.Iima
    • Organizer
      International Symposium on Computational Science 2011(invited)
    • Place of Presentation
      Kanazawa
    • Year and Date
      2011-02-15
    • Related Report
      2010 Final Research Report
  • [Presentation] Numerical simulation and mathematical analysis of flapping flight problem2011

    • Author(s)
      M.Iima
    • Organizer
      International Symposium on Computational Science 2011
    • Place of Presentation
      金沢大学(金沢市)(招待講演)
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Analytical model of a butterfly micro-swimmer2010

    • Author(s)
      M.Iima, A.Mikhailov
    • Organizer
      APS 63^<rd> Annual DFD Meeting
    • Place of Presentation
      Long Beach, USA
    • Year and Date
      2010-11-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Analytical model of a butterfly micro-swimmer2010

    • Author(s)
      M.Iima, A.Mikhailov
    • Organizer
      63th Annual Meeting of the Division of Fluid Dynamics(APS meeting)
    • Place of Presentation
      Long Beach, USA
    • Year and Date
      2010-11-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] はばたき飛翔と遊泳の数理解析2010

    • Author(s)
      飯間信
    • Organizer
      日本機械学会第88期流体工学部門講演会(invited)
    • Place of Presentation
      山形大学米沢キャンパス(米沢市)
    • Year and Date
      2010-10-30
    • Related Report
      2010 Final Research Report
  • [Presentation] はばたき飛翔と遊泳の数理解析2010

    • Author(s)
      飯間信
    • Organizer
      日本機械学会第88期流体工学部門講演会
    • Place of Presentation
      山形大学米沢キャンパス(米沢市)(招待講演)
    • Year and Date
      2010-10-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] 3次元空間における空中停止飛行の理論解析2010

    • Author(s)
      飯間信
    • Organizer
      日本流体力学会年会2010
    • Place of Presentation
      北海道大学高等教育機能開発センター(札幌市)
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 蝶はなぜ飛ぶか--渦を用いた飛翔の数理構造--2009

    • Author(s)
      飯間信
    • Organizer
      研究部会数理設計 第10回研究集会
    • Place of Presentation
      名古屋
    • Year and Date
      2009-12-21
    • Related Report
      2010 Final Research Report
  • [Presentation] 蝶はなぜ飛ぶか-渦を用いた飛翔の数理構造-2009

    • Author(s)
      飯間信
    • Organizer
      研究部会数理設計 第11回研究集会
    • Place of Presentation
      名古屋大学(名古屋市)
    • Year and Date
      2009-12-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] 3次元空間における空中停止飛行の理論解析2009

    • Author(s)
      飯間信
    • Organizer
      2009年度応用数学合同研究集会
    • Place of Presentation
      瀬田
    • Year and Date
      2009-12-17
    • Related Report
      2010 Final Research Report
  • [Presentation] 3次元空間における空中停止飛行の理論解析2009

    • Author(s)
      飯間信
    • Organizer
      2009年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス(大津市)
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] A paradox of hovering insects in two-dimensional space2009

    • Author(s)
      M.Iima
    • Organizer
      62th Annual Meeting of the Division of Fluid Dynamics
    • Place of Presentation
      ミネアポリス
    • Year and Date
      2009-11-22
    • Related Report
      2010 Final Research Report
  • [Presentation] A paradox of hovering insects in two-dimensional space2009

    • Author(s)
      飯間信
    • Organizer
      62th Annual Meeting of the Division of Fluid Dynamics
    • Place of Presentation
      アメリカ、ミネアポリス
    • Year and Date
      2009-11-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 飛翔と泳ぎの数理解析2009

    • Author(s)
      飯間信
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪
    • Year and Date
      2009-09-30
    • Related Report
      2010 Final Research Report
  • [Presentation] 連続する緩和過程で駆動される微小推進体の流体力学的推進機構2009

    • Author(s)
      飯間信、A.Mikhailov
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report
  • [Presentation] 連続する緩和過程で駆動される微小推進体の流体力学的推進機構2009

    • Author(s)
      飯間信、A.Mikhailov
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学黒髪キャンパス(熊本市)
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] An application of generalized Blasius formula to insect's flapping flight2009

    • Author(s)
      M.Iima
    • Organizer
      ISABMEC2009
    • Place of Presentation
      上海
    • Year and Date
      2009-09-21
    • Related Report
      2010 Final Research Report
  • [Presentation] An application of generalized Blasius formula to insect's flapping flight2009

    • Author(s)
      飯間信
    • Organizer
      ISABMEC2009
    • Place of Presentation
      中国、上海
    • Year and Date
      2009-08-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] Hydrodynamical study of flapping models2009

    • Author(s)
      M.Iima
    • Organizer
      Complex Nonlinear Processes in Chemistry and Biology
    • Place of Presentation
      Berlin
    • Year and Date
      2009-07-17
    • Related Report
      2010 Final Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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