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Theoretical and numerical study based on fluid mechanics for flapping flight using vortex

Research Project

Project/Area Number 19740228
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, 助教授 (90312412)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,620,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2007: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywords流体力学 / 非線形物理 / 渦運動 / 生物流体
Research Abstract

昆虫の飛翔では、渦の生成や動力学を伴うはばたき飛行と考えられるが、その流体力学に基づく理論はまだ提案されていなかった。本課題では、今井(1974)により導かれた一般化されたブラジウスの公式を用いて渦を用いたはばたき飛行の理論を構築し、動力学の解析に有用であることを示した。またこの理論により2次元空中停止飛行についてのパラドックスを導いた。また重力を変えたときの臨界点に着目することではばたき方に依存する飛行性能の評価をおこなった。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (61 results)

All 2009 2008 2007 Other

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (43 results) Book (3 results)

  • [Journal Article] Propulsion hydrodynmics of a butterfly micro-swimmer2009

    • Author(s)
      M. Iima, A. S. Mikhailov
    • Journal Title

      Eurohys. Lett. 85

      Pages: 44001-44001

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Unstable periodic solution controlling collision of localized convection celis in binary fluid mixture2009

    • Author(s)
      M. Iima and Y. Nishiura
    • Journal Title

      Physica D 238

      Pages: 449-460

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ropulsion hydrodynamics of a butterfly micro-swimmer2009

    • Author(s)
      M. Iima and A. S. Mikhailov
    • Journal Title

      Europhys. Lett 85

      Pages: 44001-44001

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A paradox of hovering insect in two-dimensional space2008

    • Author(s)
      M. Iima
    • Journal Title

      J. Fluid Mech. 617

      Pages: 297-229

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] はばたき飛翔の流体力学2008

    • Author(s)
      飯間 信
    • Journal Title

      日本物理学会誌 63

      Pages: 629-633

    • NAID

      110006863528

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 蝶の飛翔に潜む数理構造2008

    • Author(s)
      飯間 信
    • Journal Title

      日本応用物理学会誌 18(4)

      Pages: 39-51

    • NAID

      110007029969

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A paradox of hovering insect in two-dimnsional space2008

    • Author(s)
      M. Iima
    • Journal Title

      J. Fluid Mech 617

      Pages: 207-229

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 蝶の飛翔に潜む数理構造2008

    • Author(s)
      飯間信
    • Journal Title

      日本応用数理学会誌 18

      Pages: 39-51

    • NAID

      110007029969

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] はばたき飛翔の流体力学2008

    • Author(s)
      飯間信
    • Journal Title

      日本物理学会誌 63

      Pages: 629-633

    • NAID

      110006863528

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Visualization of a rotating flow under large-deformed free surface using anisotropic flakes2008

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

      J. Visulaization 11

      Pages: 163-172

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A two-dimensional aerodynamic model of freely flying insects2007

    • Author(s)
      M. Iima
    • Journal Title

      J. Theor. Biol. 247(4)

      Pages: 657-671

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A two-dimensional aerodynamic model of freely flying insects2007

    • Author(s)
      M. Iima
    • Journal Title

      J. Theor. Biol. 247

      Pages: 657-671

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimum-risk path finding by an adaptive amoebal network2007

    • Author(s)
      T. Nakagaki, M. Iima, T. Ueda, Y. Nishiura, T. Saigusa, A. Tero, R. Kobayashi and K. Showalter
    • Journal Title

      Phys. Rev. Lett. 99

      Pages: 68104-68104

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Response to "A comment on " Surface switching of rotating fluid in a cylinder"[Phys. Fluids 18, 101701(2006)]"2007

    • Author(s)
      T. Suzuki, M. Iima and Y. Hayase
    • Journal Title

      Phys. Fluids 19

      Pages: 69102-69102

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rotating flow related to surface switching

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

      J. Phys.: Conference Series (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] ナノバタフライ:単一接点モデルにおける推進の流体力学2009

    • Author(s)
      飯間 信
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      東京
    • Year and Date
      2009-03-31
    • Related Report
      2008 Final Research Report
  • [Presentation] 昆虫のはばたき飛行における漸近渦構造の役割2009

    • Author(s)
      飯間 信
    • Organizer
      非線形現象の数値シミュレーションと解析 2009
    • Place of Presentation
      札幌
    • Year and Date
      2009-03-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 昆虫のはばたき飛行における漸近渦構造の役割2009

    • Author(s)
      飯間信
    • Organizer
      非線形現象の数値シミュレーションと解析2009
    • Place of Presentation
      札幌北海道大学
    • Year and Date
      2009-03-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Theory of flappin flight using vortices2009

    • Author(s)
      M. Iima
    • Organizer
      Sappro Winter School Part II. Nonequilibrium Pattern Formation in Chemical and Biological Systems
    • Place of Presentation
      Sapporo
    • Year and Date
      2009-02-13
    • Related Report
      2008 Final Research Report
  • [Presentation] Theory of flapping flight using vortices2009

    • Author(s)
      M. Iima
    • Organizer
      Sapporo Winter School Part II. Nonequilibrium Pattern Formation in Chemical and Biological Systems
    • Place of Presentation
      Sapporo Hokkaido University
    • Year and Date
      2009-02-13
    • Related Report
      2008 Annual Research Report
  • [Presentation] 姿勢制御による大摂動からの安定性合い服について2008

    • Author(s)
      飯間 信
    • Organizer
      第3回蝶の移動知セミナー
    • Place of Presentation
      大阪
    • Year and Date
      2008-12-16
    • Related Report
      2008 Final Research Report
  • [Presentation] Numerical and theoretical analysis of freely flying insects - stability, vortex patterns, and far-field structure -2008

    • Author(s)
      M. Iima
    • Organizer
      The 10th RIES-Hokudai International Symposium on AYA
    • Place of Presentation
      札幌
    • Year and Date
      2008-12-09
    • Related Report
      2008 Final Research Report
  • [Presentation] 2次元はばたき飛行の理論2008

    • Author(s)
      飯間 信
    • Organizer
      NSCセミナー
    • Place of Presentation
      札幌
    • Year and Date
      2008-12-05
    • Related Report
      2008 Final Research Report
  • [Presentation] 渦構造からみた昆虫飛翔とその安定性 - 近接場と遠方場からみた飛行学-2008

    • Author(s)
      飯間 信
    • Organizer
      非線形解析セミナー
    • Place of Presentation
      横浜
    • Year and Date
      2008-11-19
    • Related Report
      2008 Final Research Report
  • [Presentation] 渦構造からみた昆虫飛翔とその安定性-近接場と遠方場からみた飛行力学-2008

    • Author(s)
      飯間信
    • Organizer
      非線形解析セミナー
    • Place of Presentation
      横浜慶應義塾大学
    • Year and Date
      2008-11-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] 昆虫飛翔の数値モデルと理論モデル2008

    • Author(s)
      飯間 信
    • Organizer
      偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2008 (略称:PPM2008)
    • Place of Presentation
      宮崎
    • Year and Date
      2008-11-15
    • Related Report
      2008 Final Research Report
  • [Presentation] 昆虫飛翔の数値モデルと理論モデル2008

    • Author(s)
      飯間信
    • Organizer
      偏微分方程式と現象 : PDEs and Phenomena in Mivazaki 2008
    • Place of Presentation
      宮崎宮崎大学
    • Year and Date
      2008-11-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] Robustness of insect's free-flight in terms of flapping motion and vortex patterns2008

    • Author(s)
      M. Iima
    • Organizer
      150 Years of Vortex Dynamics
    • Place of Presentation
      Copenhagen, Denmark
    • Year and Date
      2008-10-14
    • Related Report
      2008 Final Research Report
  • [Presentation] Robustness of insect's free-flight in terms of flapping motion and vortex patterns2008

    • Author(s)
      M. Iima
    • Organizer
      150 Years of Vortex Dynamics
    • Place of Presentation
      Cop entiagen, Denmark
    • Year and Date
      2008-10-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Robustness of an insect's hovering: how vortex patterns determine flight2008

    • Author(s)
      M. Iima
    • Organizer
      Dynamics Days Asia-Pacific 5
    • Place of Presentation
      Nara
    • Year and Date
      2008-09-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Robustness of an insect's hovering : how vortex patterns determine flight performance2008

    • Author(s)
      M. Iima
    • Organizer
      Dynamics Days Asia-Pacific 5
    • Place of Presentation
      Nara Nara Prefectural New Public Hall
    • Year and Date
      2008-09-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] 2次元流体中で周期運動する翼に働く力の標識とその昆虫飛翔への応用2008

    • Author(s)
      飯間 信
    • Organizer
      日本流体力学会念会2008
    • Place of Presentation
      神戸
    • Year and Date
      2008-09-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 2次元流体中で周期運動する翼に働く力の表式とその昆虫飛翔への応用2008

    • Author(s)
      飯間信
    • Organizer
      日本流体力学会年会2008
    • Place of Presentation
      神戸神戸大学
    • Year and Date
      2008-09-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Robustness of an insect's hovering : a transition of flapping free-flight2008

    • Author(s)
      M. Iima
    • Organizer
      ICTAM 2008
    • Place of Presentation
      Adelaide Australia
    • Year and Date
      2008-08-28
    • Related Report
      2008 Final Research Report
  • [Presentation] Robustness of an insect's hovering : a transition of flapping free-flight2008

    • Author(s)
      M. Iima
    • Organizer
      ICTAM 2008
    • Place of Presentation
      Adelaide, Australia
    • Year and Date
      2008-08-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical models of freely flying insects and their universal structure2008

    • Author(s)
      飯間 信
    • Organizer
      複雑系セミナー
    • Place of Presentation
      和光
    • Year and Date
      2008-08-04
    • Related Report
      2008 Final Research Report
  • [Presentation] Numerical models of freely flying insects and their universal structure2008

    • Author(s)
      飯間信
    • Organizer
      複雑系セミナー
    • Place of Presentation
      和光理化学研究所
    • Year and Date
      2008-08-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Analysis of hovering insect in two-dimensional space2008

    • Author(s)
      M. Iima
    • Organizer
      流体と気体の数学解析
    • Place of Presentation
      京都
    • Year and Date
      2008-07-10
    • Related Report
      2008 Final Research Report
  • [Presentation] Analysis of hovering insect in two-dimensional space2008

    • Author(s)
      飯間信
    • Organizer
      流体と気体の数学解析
    • Place of Presentation
      京都京都大学
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] A stability of free-flight using vortex: a universal mathematical structure2008

    • Author(s)
      M. Iima
    • Organizer
      Analytical and Computational Fluid Dynamics 2008
    • Place of Presentation
      Seoul Korea
    • Year and Date
      2008-06-25
    • Related Report
      2008 Final Research Report
  • [Presentation] A stability of free-flight using vortex : a universal mathematical structure2008

    • Author(s)
      M. Iima
    • Organizer
      Analytical and Computational Fluid Dynamics 2008
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-06-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] 分岐解析による昆虫飛翔制御機構解明の試み2008

    • Author(s)
      飯間 信
    • Organizer
      第2回蝶の移動知セミナー
    • Place of Presentation
      大阪
    • Year and Date
      2008-06-17
    • Related Report
      2008 Final Research Report
  • [Presentation] 2次元昆虫飛翔の理論的解析2008

    • Author(s)
      飯間 信
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      大阪
    • Year and Date
      2008-03-23
    • Related Report
      2008 Final Research Report
  • [Presentation] 2次元昆虫飛翔の理論的解析2008

    • Author(s)
      飯間 信
    • Organizer
      日本物理学会第63回年次大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Navier-Stokes 方程式に基づく2次元昆虫飛翔の理論2008

    • Author(s)
      飯間 信
    • Organizer
      語ろう数理解析
    • Place of Presentation
      大阪
    • Year and Date
      2008-02-21
    • Related Report
      2008 Final Research Report
  • [Presentation] 拡張されたBlasiusの公式による昆虫飛翔の理論2007

    • Author(s)
      飯間 信
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      瀬田
    • Year and Date
      2007-12-17
    • Related Report
      2008 Final Research Report
  • [Presentation] 拡張されたBlasiusの公式による昆虫飛翔の理論2007

    • Author(s)
      飯間 信
    • Organizer
      応用数学合同講演会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2007-12-17
    • Related Report
      2007 Annual Research Report
  • [Presentation] Theoretical evaluation of the force acting on the flapping wing in two-dimensional fluid2007

    • Author(s)
      M. Iima
    • Organizer
      60th Annual Meeting of the Division of Fluid Dynamics(APS meeting)
    • Place of Presentation
      Salt Lake City, USA
    • Year and Date
      2007-11-19
    • Related Report
      2008 Final Research Report
  • [Presentation] Theoretical evaluation of the force acting on the flapping wing in two-dimensional fluid2007

    • Author(s)
      M. Iima
    • Organizer
      60th Annual Meeting of the Division of Fluid Dynamics (APS meeting)
    • Place of Presentation
      Salt Palace Convention Cneter (Salt Lake City)
    • Year and Date
      2007-11-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] 蝶々に学ぶ流体力学-物理的な観点から-2007

    • Author(s)
      飯間 信
    • Organizer
      日本物理学会2007年秋季大会(第一回日本物理学会若手奨励賞受賞記念講演)
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] 蝶々に学ぶ流体力学-物理的な観点から-2007

    • Author(s)
      飯間 信
    • Organizer
      日本物理学会2007年秋期大会
    • Place of Presentation
      札幌
    • Year and Date
      2007-09-22
    • Related Report
      2008 Final Research Report
  • [Presentation] Role of vortex in free-flight of insects2007

    • Author(s)
      M. Iima
    • Organizer
      Vortex dynamics from quantum to geophysical scales
    • Place of Presentation
      Exeter, UK
    • Year and Date
      2007-09-12
    • Related Report
      2008 Final Research Report
  • [Presentation] Role of vortex in free-flight of insects2007

    • Author(s)
      M. Iima
    • Organizer
      Vortex dynamics from quantum to geophysical scales
    • Place of Presentation
      U. Exeter (UK)
    • Year and Date
      2007-09-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] Dynamics of the localized waves in a model equation of binary fluid convection2007

    • Author(s)
      M. Iima and Y. Nishiura
    • Organizer
      Equadiff 2007
    • Place of Presentation
      ウィーン工科大学(オーストリア)
    • Year and Date
      2007-08-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] 流体中における生物の推進機構の理解に向けた数理科学的アプローチ2007

    • Author(s)
      飯間 信、 柳田 達雄、 西浦 廉政
    • Organizer
      ポストシリコン物質・デバイス創製基盤技術アライアンス発足記念シンポジウム
    • Place of Presentation
      東京
    • Year and Date
      2007-06-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 流体中における生物の推進機構の理解に向けた数理科学的アプローチ2007

    • Author(s)
      飯間 信, 柳田達雄, 西浦廉政
    • Organizer
      ポストシリコン物質・デバイス創製基盤技術アライアンス発足記念シンポジウム
    • Place of Presentation
      学士会館(東京)
    • Year and Date
      2007-06-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Mathematical analysis on freely flying insects2007

    • Author(s)
      M. Iima
    • Organizer
      NSC Spring Workshop 2007: Complex Dynamics in Physics, Chemistry and Biology
    • Place of Presentation
      札幌
    • Year and Date
      2007-05-08
    • Related Report
      2008 Final Research Report
  • [Presentation] Mathematical analysis on freely flying insects2007

    • Author(s)
      M. Iima
    • Organizer
      NSC Spring Workshop 2007: Complex Dynamics in Physics, Chemistry and Biology
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-05-08
    • Related Report
      2007 Annual Research Report
  • [Book] 昆虫ミメティクス -- 昆虫の設計に学ぶ -- (羽ばたき飛翔の数理 p.672-677) 下澤楯夫、針山孝彦(編)2008

    • Author(s)
      飯間 信
    • Publisher
      エヌ・ティー・エス
    • Related Report
      2008 Final Research Report
  • [Book] 昆虫ミメティクスー昆虫の設計に学ぶ-(下澤楯夫、針山孝彦編、分担執筆)2008

    • Author(s)
      飯間信
    • Publisher
      エヌ・ティー・エス
    • Related Report
      2008 Annual Research Report
  • [Book] 「はばたき飛翔の数理」(昆虫ミメティクス-昆虫の設計に学ぶ-, 下澤楯夫、針山孝彦編)

    • Author(s)
      飯間 信(分担執筆)
    • Publisher
      エヌ・ティー・エス(受理済) (印刷中)
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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