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

• Project/Area Number: 19740228
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Hokkaido 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: ¥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。

Research Products

• [Journal Article] Propulsion hydrodynmics of a butterfly micro-swimmer (2009)
  • Author(s): M. Iima, A. S. Mikhailov
  • Journal Title: Eurohys. Lett. 85 Pages: 44001-44001
  • Peer Reviewed
• [Journal Article] Unstable periodic solution controlling collision of localized convection celis in binary fluid mixture (2009)
  • Author(s): M. Iima and Y. Nishiura
  • Journal Title: Physica D 238 Pages: 449-460
  • Peer Reviewed
• [Journal Article] ropulsion hydrodynamics of a butterfly micro-swimmer (2009)
  • Author(s): M. Iima and A. S. Mikhailov
  • Journal Title: Europhys. Lett 85 Pages: 44001-44001
  • Peer Reviewed
• [Journal Article] A paradox of hovering insect in two-dimensional space (2008)
  • Author(s): M. Iima
  • Journal Title: J. Fluid Mech. 617 Pages: 297-229
  • 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
  • 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
  • Peer Reviewed
• [Journal Article] A paradox of hovering insect in two-dimnsional space (2008)
  • Author(s): M. Iima
  • Journal Title: J. Fluid Mech 617 Pages: 207-229
  • 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
  • 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
  • Peer Reviewed
• [Journal Article] Visualization of a rotating flow under large-deformed free surface using anisotropic flakes (2008)
  • Author(s): Y. Tasaka, K. Ito, and M. Iima
  • Journal Title: J. Visulaization 11 Pages: 163-172
  • Peer Reviewed
• [Journal Article] A two-dimensional aerodynamic model of freely flying insects (2007)
  • Author(s): M. Iima
  • Journal Title: J. Theor. Biol. 247(4) Pages: 657-671
  • Peer Reviewed
• [Journal Article] A two-dimensional aerodynamic model of freely flying insects (2007)
  • Author(s): M. Iima
  • Journal Title: J. Theor. Biol. 247 Pages: 657-671
  • Peer Reviewed
• [Journal Article] Minimum-risk path finding by an adaptive amoebal network (2007)
  • 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
  • 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
  • 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)
  • 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
• [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
• [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
• [Presentation] Theory of flappin flight using vortices (2009)
  • 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
• [Presentation] Theory of flapping flight using vortices (2009)
  • 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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [Presentation] Robustness of insect's free-flight in terms of flapping motion and vortex patterns (2008)
  • Author(s): M. Iima
  • Organizer: 150 Years of Vortex Dynamics
  • Place of Presentation: Copenhagen, Denmark
  • Year and Date: 2008-10-14
• [Presentation] Robustness of insect's free-flight in terms of flapping motion and vortex patterns (2008)
  • Author(s): M. Iima
  • Organizer: 150 Years of Vortex Dynamics
  • Place of Presentation: Cop entiagen, Denmark
  • Year and Date: 2008-10-14
• [Presentation] Robustness of an insect's hovering: how vortex patterns determine flight (2008)
  • Author(s): M. Iima
  • Organizer: Dynamics Days Asia-Pacific 5
  • Place of Presentation: Nara
  • Year and Date: 2008-09-12
• [Presentation] Robustness of an insect's hovering : how vortex patterns determine flight performance (2008)
  • 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
• [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
• [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
• [Presentation] Robustness of an insect's hovering : a transition of flapping free-flight (2008)
  • Author(s): M. Iima
  • Organizer: ICTAM 2008
  • Place of Presentation: Adelaide Australia
  • Year and Date: 2008-08-28
• [Presentation] Robustness of an insect's hovering : a transition of flapping free-flight (2008)
  • Author(s): M. Iima
  • Organizer: ICTAM 2008
  • Place of Presentation: Adelaide, Australia
  • Year and Date: 2008-08-28
• [Presentation] Numerical models of freely flying insects and their universal structure (2008)
  • Author(s): 飯間 信
  • Organizer: 複雑系セミナー
  • Place of Presentation: 和光
  • Year and Date: 2008-08-04
• [Presentation] Numerical models of freely flying insects and their universal structure (2008)
  • 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
• [Presentation] Analysis of hovering insect in two-dimensional space (2008)
  • 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
• [Presentation] Analysis of hovering insect in two-dimensional space (2008)
  • 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
• [Presentation] A stability of free-flight using vortex: a universal mathematical structure (2008)
  • Author(s): M. Iima
  • Organizer: Analytical and Computational Fluid Dynamics 2008
  • Place of Presentation: Seoul Korea
  • Year and Date: 2008-06-25
• [Presentation] A stability of free-flight using vortex : a universal mathematical structure (2008)
  • Author(s): M. Iima
  • Organizer: Analytical and Computational Fluid Dynamics 2008
  • Place of Presentation: Seoul, Korea
  • Year and Date: 2008-06-25
• [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
• [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
• [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
• [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
• [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
• [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
• [Presentation] Theoretical evaluation of the force acting on the flapping wing in two-dimensional fluid (2007)
  • 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
• [Presentation] Theoretical evaluation of the force acting on the flapping wing in two-dimensional fluid (2007)
  • 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
• [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
• [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
• [Presentation] Role of vortex in free-flight of insects (2007)
  • Author(s): M. Iima
  • Organizer: Vortex dynamics from quantum to geophysical scales
  • Place of Presentation: Exeter, UK
  • Year and Date: 2007-09-12
• [Presentation] Role of vortex in free-flight of insects (2007)
  • Author(s): M. Iima
  • Organizer: Vortex dynamics from quantum to geophysical scales
  • Place of Presentation: U. Exeter (UK)
  • Year and Date: 2007-09-12
• [Presentation] Dynamics of the localized waves in a model equation of binary fluid convection (2007)
  • 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
• [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
• [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
• [Presentation] Mathematical analysis on freely flying insects (2007)
  • 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
• [Presentation] Mathematical analysis on freely flying insects (2007)
  • 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
• [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
• [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
• [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)