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Studies on mathematical aspect of the onset of thermal convection and chaotic mixing

Research Project

Project/Area Number 22560064
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

FUNAKOSHI Mitsuaki  京都大学, 大学院・情報学研究科, 教授 (40108767)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords数理流体力学 / 数理工学 / 数理物理 / 熱対流 / 流体
Research Abstract

Onset of thermal convection of a fluid in a rectangular horizontal or inclined container is examined. Here all the walls of container are of perfect thermal conductance, and external temperature field is linearly decreasing upward. By a numerical analysis, the dependences of critical Rayleigh number Rc and the flow structure of most unstable mode on the aspect ratios and inclination angles of container are clarified. Moreover, the characteristics of trajectories of fluid particles in the velocity field of most unstable mode are clarified.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (22 results)

All 2013 2012 2011

All Journal Article (10 results) (of which Peer Reviewed: 2 results) Presentation (12 results)

  • [Journal Article] 直方体容器中の熱対流の発生と対流パターン2013

    • Author(s)
      船越満明・深澤義成
    • Journal Title

      日本学術会議第62回理論応用力学講演会講演論文集

    • NAID

      130004604959

    • Related Report
      2012 Final Research Report
  • [Journal Article] 直方体容器中の熱対流の発生と対流パターン2013

    • Author(s)
      船越満明 深澤義成
    • Journal Title

      日本学術会議第62回理論応用力学講演会講演論文集

      Volume: USBメモリー

    • NAID

      130004604959

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 直方体容器内の熱対流の発生と流れパターン2012

    • Author(s)
      船越満明・深澤義成
    • Journal Title

      第61回理論応用力学講演会講演論文集

      Volume: GS02-15

    • NAID

      130005020705

    • Related Report
      2012 Final Research Report
  • [Journal Article] 直方体容器内の熱対流の発生と流れパターン2012

    • Author(s)
      船越満明, 深澤義成
    • Journal Title

      第61回理論応用力学講演会講演論文集

      Volume: (USBメモリ)

    • NAID

      130005020705

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Onset of three-dimensional thermal convection in an inclined rectangular cavity2011

    • Author(s)
      Y.Fukazawa and M.Funakoshi
    • Journal Title

      Theoretical and Applied Mechanics Japan

      Volume: Vol.60 Pages: 163-174

    • NAID

      130004463801

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 直方体容器内の 3次元熱対流の発生2011

    • Author(s)
      深澤義成・船越満明
    • Journal Title

      日本流体力学会誌「ながれ」

      Volume: 第30巻別冊 Pages: 53-53

    • NAID

      130004604802

    • Related Report
      2012 Final Research Report
  • [Journal Article] 直方体容器内の3 次元熱対流の発生2011

    • Author(s)
      深澤 義成・船越 満明
    • Journal Title

      第60回理論応用力学講演会講演論文集

    • NAID

      130004604802

    • Related Report
      2012 Final Research Report
  • [Journal Article] 直方体容器内の3次元熱対流の発生2011

    • Author(s)
      深澤義成, 船越満明
    • Journal Title

      日本流体力学会誌「ながれ」

      Volume: 第30巻別冊 Pages: 53-53

    • NAID

      130004604802

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Onset of three-dimensional tnermal convection in an inclined rectangular cavity2011

    • Author(s)
      Y.Fukazawa, M.Funakoshi
    • Journal Title

      Theoretical and Applied Mechanics Japan

      Volume: Vol.60 Pages: 163-174

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 直方体容器内の3次元熱対流の発生2011

    • Author(s)
      深澤義成, 船越満明
    • Journal Title

      第60回理論応用力学講演会講演論文集

      Volume: USBメモリ

    • NAID

      130004604802

    • Related Report
      2010 Annual Research Report
  • [Presentation] 直方体容器中の熱対流の発生と対流パターン2013

    • Author(s)
      船越満明・深澤義成
    • Organizer
      第62回理論応用力学講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2013-03-07
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] Onset of three-dimensional thermal convection in an inclined rectangular or cubic cavity2012

    • Author(s)
      M. Funakoshi and Y. Fukazawa
    • Organizer
      23rd International Congress of Theoretical and Applied Mechanics
    • Place of Presentation
      Beijing, China
    • Year and Date
      2012-08-21
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 直方体容器内の熱対流の発生と流れパターン2012

    • Author(s)
      深澤義成・船越満明
    • Organizer
      第61回理論応用力学講演会
    • Place of Presentation
      東京大学
    • Year and Date
      2012-03-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 直方体容器内の熱対流の発生と流れパターン2012

    • Author(s)
      深澤義成, 船越満明
    • Organizer
      第61回理論応用力学講演会
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2012-03-09
    • Related Report
      2011 Annual Research Report
  • [Presentation] Onset of Three-Dimensional Thermal Convection in a Rectangular Cavity2011

    • Author(s)
      M. Funakoshi and Y. Fukazawa
    • Organizer
      64th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      Baltimore, USA
    • Year and Date
      2011-11-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Onset of Three-Dimensional Thermal Convection in a Rectangular Cavity2011

    • Author(s)
      M.Funakoshi, Y.Fukazawa
    • Organizer
      64th Annual Meeting of the APS Division of Fluid Dynamics
    • Place of Presentation
      ボルチモア(アメリカ)
    • Year and Date
      2011-11-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] 直方体容器内の熱対流の発生2011

    • Author(s)
      深澤義成・船越満明
    • Organizer
      日本物理学会 2011 年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-23
    • Related Report
      2012 Final Research Report
  • [Presentation] 直方体容器内の熱対流の発生2011

    • Author(s)
      深澤義成, 船越満明
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学(富山県)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] 直方体容器内の 3次元熱対流の発生2011

    • Author(s)
      深澤義成・船越満明
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京
    • Year and Date
      2011-09-07
    • Related Report
      2012 Final Research Report
  • [Presentation] 直方体容器内の3次元熱対流の発生2011

    • Author(s)
      深澤義成, 船越満明
    • Organizer
      日本流体力学会年会2011
    • Place of Presentation
      首都大学東京(東京都)
    • Year and Date
      2011-09-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] 直方体容器内の3 次元熱対流の発生2011

    • Author(s)
      深澤 義成,船越 満明
    • Organizer
      日本学術会議第60回理論応用力学講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-03-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 直方体容器内の3次元熱対流の発生2011

    • Author(s)
      深澤義成, 船越満明
    • Organizer
      日本学術会議第60回理論応用力学講演会
    • Place of Presentation
      東京都(東京工業大学)
    • Year and Date
      2011-03-09
    • Related Report
      2010 Annual Research Report

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Published: 2010-11-30   Modified: 2019-07-29  

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