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2012 Fiscal Year Final Research Report

Study on'exact'coherent structures in turbulent flows

Research Project

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Project/Area Number 22560065
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionKyoto University

Principal Investigator

NAGATA Masato  京都大学, 大学院・工学研究科, 教授 (80303858)

Co-Investigator(Kenkyū-buntansha) NOGUCHI Takashi  京都大学, 大学院・工学研究科, 助教 (10447906)
Project Period (FY) 2010 – 2012
Keywordsナヴィエ・ストークスの方程式 / 乱流遷移 / 流れの安定性 / 厳密秩序構造 / 平面クエット流 / 平面ポアズイユ流 / 分岐理論 / 対称性の破れ / 流れの動力学 / ホモトピー法
Research Abstract

Exact coherent solutions in sliding Couette flow, pipe flow and plane Poiseuille flow are obtained by a method of homotopy continuation from the exact coherent solution in plane Couette flow. It is found that a mirror-symmetric spatial structure is commonly observed in these flows and plays an important role in transition from laminar flow to turbulence.

  • Research Products

    (25 results)

All 2012 2011 2010

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (19 results) Book (1 results)

  • [Journal Article] Asymmetric travelling waves in a square duct2012

    • Author(s)
      S. Okino and M. Nagata
    • Journal Title

      Journal of Fluid Mechanics

      Volume: vol. 693 Pages: 57-68

    • Peer Reviewed
  • [Journal Article] Bifurcations and instabilities in sliding Couette flow2011

    • Author(s)
      K. Deguchi, and M. Nagata
    • Journal Title

      Journal of Fluid Mechanics

      Volume: vol. 678 Pages: 156-178

    • Peer Reviewed
  • [Journal Article] Traveling hairpin-shaped fluid vortices in plane Couette flow2010

    • Author(s)
      K. Deguchi and M. Nagata
    • Journal Title

      Physical Review E

      Volume: vol. 82 Pages: 056325-1-5

    • Peer Reviewed
  • [Journal Article] A new nonlinear vortex state in square-duct flow2010

    • Author(s)
      S. Okino, M. Nagata, H. Wedin and A. Bottaro
    • Journal Title

      Journal of Fluid Mechanics

      Volume: vol. 657 Pages: 413-429

    • Peer Reviewed
  • [Journal Article] Transition to turbulence for flows without linearcriticality2010

    • Author(s)
      M. Nagata
    • Journal Title

      Physica Scripta

      Volume: vol. T142 Pages: 014002-1-8

    • Peer Reviewed
  • [Presentation] New exact coherent states in plane Poiseuille flow2012

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      American Physical Society 65thAnnual Division of Fluid DynamicsMeeting
    • Place of Presentation
      San Diego, California (USA)
    • Year and Date
      20121118-20
  • [Presentation] Bifurcation of flows of a fluid with internal heat sources in a vertical pipe2012

    • Author(s)
      T. Senoo, K. Degichi and M. Nagata
    • Organizer
      7thInternational Symposium on Turbulence, Heat and Mass Transfer
    • Place of Presentation
      Palermo (Italy)
    • Year and Date
      20120924-27
  • [Presentation] New exact coherent states in plane Poiseuilleflow2012

    • Author(s)
      M. Nagata, and K. Deguchi
    • Organizer
      Global Flow Instability and Control V
    • Place of Presentation
      Hersonissos, Crete (Greece)
    • Year and Date
      20120919-22
  • [Presentation] Ribbons in rotating plane Couette flow2012

    • Author(s)
      D. Matsukawa and M. Nagata
    • Organizer
      9thEuropean Fluid Mechanics Conference
    • Place of Presentation
      Rome (Italy)
    • Year and Date
      20120909-13
  • [Presentation] New exact coherent states in plane Poiseuille flow2012

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      23rdInternational Congress on Theoretical and Applied Mechanics
    • Place of Presentation
      Beijing (China)
    • Year and Date
      20120819-24
  • [Presentation] Bifurcation of flows of a fluid with internal heat sources in a vertical pipe2012

    • Author(s)
      Senoo, T. and M. Nagata
    • Organizer
      9thInternational Conference on Heat Transfer, Fluid Mechanics and Thermodynamics
    • Place of Presentation
      Paceville (Malta)
    • Year and Date
      20120716-18
  • [Presentation] Bifurcation of flows of a fluid with internal heat sources in a vertical pipe2012

    • Author(s)
      T. Senoo and M. Nagata
    • Organizer
      57thBritish Applied Mathematics Colloquium
    • Place of Presentation
      London (U.K.)
    • Year and Date
      20120327-29
  • [Presentation] Mirror symmetric travelling wave solution in plane Poiseuille flow2011

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      17thInternational Couette-Taylor Workshop
    • Place of Presentation
      Leeds (U.K.)
    • Year and Date
      20110725-27
  • [Presentation] Travelling Wave solution with a Λ -vortex pattern in plane Poiseuille flow2011

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      4thInternational Symposium on Bifurcations and Instabilities in Fluid Dynamics
    • Place of Presentation
      Barcelona (Spain)
    • Year and Date
      20110718-21
  • [Presentation] Mirror symmetric travelling wave solutions in a sliding Couette flow and plane Couette flow2011

    • Author(s)
      K. Deguchi and M. Nagata
    • Organizer
      4thInternational Symposium on Bifurcations and Instabilities in Fluid Dynamics
    • Place of Presentation
      Barcelona (Spain)
    • Year and Date
      20110718-21
  • [Presentation] Exact coherent state with travelling hairpin vortex in plane Couette flow2010

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      Interdisciplinary Turbulence Initiative 2010 Conference on Turbulence
    • Place of Presentation
      Bertinoro (Italy)
    • Year and Date
      20100919-22
  • [Presentation] Travelling wave solutions in square duct flow2010

    • Author(s)
      S. Okino and M. Nagata
    • Organizer
      Interdisciplinary Turbulence Initiative 2010 Conference on Turbulence
    • Place of Presentation
      Bertinoro (Italy)
    • Year and Date
      20100919-22
  • [Presentation] Travelling wave solutions in square duct flow2010

    • Author(s)
      S. Okino, and M. Nagata
    • Organizer
      European Fluid Mechanics Conference 8
    • Place of Presentation
      Bad Reichenhall (Germany)
    • Year and Date
      20100913-16
  • [Presentation] Travelling hairpin vortex in pane Couette flow2010

    • Author(s)
      M. Nagata and K. Deguchi
    • Organizer
      European Fluid Mechanics Conference 8
    • Place of Presentation
      Bad Reichenhall (Germany)
    • Year and Date
      20100913-16
  • [Presentation] Travelling wave solutions in sliding Couette flow2010

    • Author(s)
      K. Deguchi and M. Nagata
    • Organizer
      European Fluid Mechanics Conference 8
    • Place of Presentation
      Bad Reichenhall (Germany)
    • Year and Date
      20100913-16
  • [Presentation] Transition to turbulence for flows without linear criticality2010

    • Author(s)
      M. Nagata
    • Organizer
      Dynamics Days in Europe 2010
    • Place of Presentation
      Bristol (U.K.)
    • Year and Date
      20100906-10
  • [Presentation] 正方形ダクト内流れにおける定常進行波解2010

    • Author(s)
      沖野真也, 永田雅人
    • Organizer
      第59回理論応用力学講演会 NCTAM 2010
    • Place of Presentation
      日本学術会議, 東京
    • Year and Date
      20100608-10
  • [Presentation] スライディング・クエット流における非線形解2010

    • Author(s)
      出口健悟, 永田雅人
    • Organizer
      第59回理論応用力学講演会 NCTAM 2010
    • Place of Presentation
      日本学術会議, 東京
    • Year and Date
      20100608-10
  • [Presentation] Transition to turbulence for flows without linear criticality2010

    • Author(s)
      M. Nagata
    • Organizer
      International Conference on Applied Mathematics
    • Place of Presentation
      Hong Kong (China)
    • Year and Date
      20100607-10
  • [Book] 高速流体力学2010

    • Author(s)
      永田雅人
    • Total Pages
      215
    • Publisher
      森北出版株式会社

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Published: 2014-08-29  

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