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Low Reynolds number limit of turbulent states in channel flow

Research Project

Project/Area Number 19760123
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fluid engineering
Research InstitutionKansai University

Principal Investigator

ITANO Tomoaki  Kansai University, システム理工学部, 准教授 (30335187)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,800,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2007: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywords壁乱流 / 渦構造 / レイノルズ数 / 秩序構造 / 低レイノルズ数 / 分岐解析
Research Abstract

By means of both of the bifurcation theory and the direct numerical simulation method complementarily, which have been employed independently to investigate turbulent flows, we explore non-trivial equilibrium flows in infinite parallel plates at low Reynolds numbers. The key result obtained in this project is the discovery of the hairpin vortex state of the plane Couette flow. While hairpin-vortices have been identified as a time-dependent coherent structure in experiments of turbulent shear flows, any corresponding exact solution has never been solved.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (29 results)

All 2010 2009 2008 2007 Other

All Journal Article (9 results) (of which Peer Reviewed: 6 results) Presentation (14 results) Book (4 results) Remarks (2 results)

  • [Journal Article] An Alternative Symmetry for Large-Scale Structures in Channel Flow2010

    • Author(s)
      Tomoaki Itano, Sadayoshi Toh, Kai Satoh
    • Journal Title

      Theoretical and Applied mechanics Japan vol.56

      Pages: 177-183

    • NAID

      130004463733

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] An Alternative Symmetry for Large-Scale Structures in Channel Flow2010

    • Author(s)
      T.Itano
    • Journal Title

      Theoretical and Applied mechanics Japan 56

      Pages: 177-183

    • NAID

      130004463733

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hairpin Vortex Solution in Planar Couette Flow: A Tapestry of Knotted Vortices2009

    • Author(s)
      Tomoaki Itano, Sotos C. Generalis
    • Journal Title

      Physical Review Letters vol.102

    • NAID

      120005683812

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 平行平板問流れにおける渦の対称性2009

    • Author(s)
      板野智昭, 藤定義, 佐藤海
    • Journal Title

      京都大学数理解析研究所講究録 Vo1.1673

      Pages: 112-115

    • Related Report
      2009 Final Research Report
  • [Journal Article] Hairpin Vortex Solution in Planar Couette Flow : A Tapestry of Knotted Vortices2009

    • Author(s)
      Tomoaki ITANO
    • Journal Title

      Physical Review Letters 102

    • NAID

      120005683812

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Numerical Study of Molecular Motion in the Osmotic Equilibrium2008

    • Author(s)
      Tomoaki Itano, Takeshi Akinaga, Masako Sugihara-Seki
    • Journal Title

      Theoretical and Applied Mechanics Japan vol.56

      Pages: 375-363

    • NAID

      130004463647

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Numerical Study of Molecular Motion in the Osmotic Equilibrium2008

    • Author(s)
      T. Itano
    • Journal Title

      Theoretical and Applied Mechanics Japan 56

      Pages: 375-363

    • NAID

      130004463647

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] チャネル流における秩序構造と対称性2007

    • Author(s)
      板野智昭, 藤定義, Fabian Waleffe, 佐藤海
    • Journal Title

      京都大学数理解析研究所講究録 Vo1.1567

      Pages: 86-91

    • Related Report
      2009 Final Research Report
  • [Journal Article] チャネル流における秩序構造と対称性2007

    • Author(s)
      板野 智昭
    • Journal Title

      京都大学数理解析研究所講究録 1567

      Pages: 86-91

    • Related Report
      2007 Annual Research Report
  • [Presentation] New Equilibrium Couette States-The Hairpin Vortex Solut ion (HVS)2009

    • Author(s)
      S.C. Generalis
    • Organizer
      6th International Symposi um on Turbulence, Heat and Mass Tran sfer
    • Place of Presentation
      Univ. of Rome, Italy
    • Year and Date
      2009-09-14
    • Related Report
      2009 Final Research Report
  • [Presentation] New Equilibrium Couette States-The Hairpin Vortex Solution(HVS)2009

    • Author(s)
      S.C.Generalis
    • Organizer
      6th International Symposium on Turbulence, Heat and Mass Transfer
    • Place of Presentation
      Italy(Univ.of Rome)
    • Year and Date
      2009-09-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] ymmetry of Coherent Vortices in Plane Couette Flow2009

    • Author(s)
      Tomoaki Itano
    • Organizer
      2th EUROMECH European Turbulence Conference
    • Place of Presentation
      Univ. of Marburg, Gemany
    • Year and Date
      2009-09-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Symmetry of Coherent Vortices in Plane Couette Flow2009

    • Author(s)
      板野智昭
    • Organizer
      12th EUROMECH European Turbulence Conference
    • Place of Presentation
      Germany(Univ.of Marburg)
    • Year and Date
      2009-09-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] ヘアピン型渦構造を持つ平面クエット流厳密解について2009

    • Author(s)
      板野智昭
    • Organizer
      日本流体力学会年会2009
    • Place of Presentation
      東京(東洋大学)
    • Year and Date
      2009-09-03
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 小型低乱風洞の試作2009

    • Author(s)
      板野智昭
    • Organizer
      日本流体力学会年会2009
    • Place of Presentation
      東京(東洋大学)
    • Year and Date
      2009-09-02
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] 平面クエット流におけるヘアピン渦解の分岐解析2009

    • Author(s)
      板野智昭
    • Organizer
      第58回理論応用力学講演会
    • Place of Presentation
      東京(日本学術会議)
    • Year and Date
      2009-06-09
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] A Bifurcation Study f or Large祐cale Motion in Channel Flow2008

    • Author(s)
      Tomoaki Itano
    • Organizer
      he 7th European Fluid Mechanics Conference
    • Place of Presentation
      Manchester Un iv., U.K.
    • Year and Date
      2008-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] A Bifurcation Study for Large-Scale Motion in Channel Flow2008

    • Author(s)
      Tomoaki ITANO
    • Organizer
      The 7^<th> European Fluid Mechanics Conference
    • Place of Presentation
      Manchester Univ
    • Year and Date
      2008-09-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Dynamical characterization of Large祐cale Structures in Channel Flow Turbulence2008

    • Author(s)
      Sadayoshi Toh
    • Organizer
      Wall Bounded Shear Flows: Transitions and Turbule nce
    • Place of Presentation
      Cambridge Univ., U.K.
    • Year and Date
      2008-09-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Dynamical characterization of Large-Scale Structures in Channel Flow Turbulence2008

    • Author(s)
      Sadayoshi TOH
    • Organizer
      Wall Bounded Shear Flows : Transitions and Turbulence
    • Place of Presentation
      Cambridge Univ
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] 鉛直平板間の自然対流における乱流遷移と大規模秩序構造のかかわり2008

    • Author(s)
      板野智昭
    • Organizer
      日本機械学会2008年度年次大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2008-08-05
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] 鉛直平行平板間自然対流に対する回転の影響II2007

    • Author(s)
      板野智昭
    • Organizer
      日本機械学会
    • Place of Presentation
      広島大学
    • Year and Date
      2007-11-17
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Unstable Periodic and Travelling Wave Solutions Corresponding to Large Scale Structures in Channel Flow Turbulence2007

    • Author(s)
      S. Toh
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Utah, USA
    • Year and Date
      2007-05-29
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Book] Advances in turbulence XII2009

    • Author(s)
      Tomoaki Itano
    • Publisher
      Springer-Verlag
    • Related Report
      2009 Final Research Report
  • [Book] Advances in turbulence XII2009

    • Author(s)
      T.Itano
    • Publisher
      Springer-Verlag
    • Related Report
      2009 Annual Research Report
  • [Book] Advances in turbulence XI2007

    • Author(s)
      Hiroyuki Abe
    • Publisher
      Springer-Verlag
    • Related Report
      2009 Final Research Report
  • [Book] Advances in turbulence XI2007

    • Author(s)
      H. Abe
    • Publisher
      Springer-Verlag
    • Related Report
      2007 Annual Research Report
  • [Remarks] 関西大学学術リポジトリ

    • URL

      http://kuir.jm.kansai-u.ac.jp/dspace/handle/10112/1257/simple-search?query=%E6%9D%BF%E9%87%8E

    • Related Report
      2009 Final Research Report
  • [Remarks] 関西大学学術リポジトリ

    • URL

      http://kuir.jm.kansai-u.ac.jp/dspace/handle/10112/1257/simple-search?query=%E6%9D%BF%E9%87%8E

    • Related Report
      2009 Annual Research Report

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

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