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Fundamental Properties of Flows in a Precessing Sphere

Research Project

Project/Area Number 24540416
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionDoshisha University

Principal Investigator

KIDA Shigeo  同志社大学, 研究開発推進機構, 嘱託研究員 (70093234)

Co-Investigator(Kenkyū-buntansha) GOTO Susumu  大阪大学, 基礎工学研究科, 教授 (40321616)
SIMIZU Masaki  大阪大学, 基礎工学研究科, 助教 (20550304)
Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords歳差回転球 / 安定性 / 臨界帯 / 不規則反転 / 流れの安定性 / 歳差回転楕円体 / 局所攪乱 / リングジェット / 乱流リング / ダイナモ
Outline of Final Research Achievements

An incompressible viscous fluid in a precessing sphere exhibits a variety of states from laminar to turbulent flows, depending upon two non-dimensional parameters (the Reynolds number and the Poincare number)defined in terms of the sphere radius, the spin angular velocity, the precession angular velocity and the kinematic viscosity of fluid. Here, we examined the structure and the existence condition of the steady flow. An asymptotic analysis was performed to obtain the structure of a pair of vortices localized in the vicinity of the great circle perpendicular to the precession axis. We determined the existence boundary of the steady flow over the whole parameter space by means of direct numerical simulation and asymptotic analysis. Moreover, a series of random reversals of the velocity field was observed.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (28 results)

All 2015 2014 2013 2012 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (23 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Turbulence driven by precession in spherical and slightly elongated spheroidal cavities2014

    • Author(s)
      Susumu Goto, Arihito Matsunaga, Masahiro Fujiwara, Michio Nishioka, Shigeo Kida, Masahiro Yamato, Shinya Tsuda
    • Journal Title

      Physics of Fluids

      Volume: undetermined

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Theoretical prediction of bright pattern of reflective flakes in a precessing sphere2014

    • Author(s)
      Shigeo Kida
    • Journal Title

      Fluid Dynamics Research

      Volume: undetermined

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Turbulent mixing in a precessing sphere2013

    • Author(s)
      Susumu Goto, Masaki Shimizu, Genta Kawahara
    • Journal Title

      Proc. the Eighth International Symposium on Turbulence and Shear Flow Phenomena (2013)

      Volume: 1

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Motion of a small flat plate in a viscous flow2013

    • Author(s)
      Shigeo Kida
    • Journal Title

      Fluid Dynamics Research

      Volume: 45 Issue: 2 Pages: 025503-025503

    • DOI

      10.1088/0169-5983/45/2/025503

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Instability by weak precession of the flow in a rotating sphere.2013

    • Author(s)
      Shigeo Kida
    • Journal Title

      Procedia IUTAM

      Volume: 7 Pages: 183-192

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 臨界帯方程式の数値解法2015

    • Author(s)
      木田重雄
    • Organizer
      第29回数値流体力学シンポジウム
    • Place of Presentation
      九州大学
    • Year and Date
      2015-12-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] 歳差回転球内流れの定常流―強歳差の極限2015

    • Author(s)
      木田重雄
    • Organizer
      日本流体力学会年会2015
    • Place of Presentation
      東京工業大学
    • Year and Date
      2015-09-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Stability of steady flow in a precessing sphere2015

    • Author(s)
      S. Kida
    • Organizer
      JJ70 Conference
    • Place of Presentation
      Salamanca, Spain
    • Year and Date
      2015-09-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Boundary-layer-flow instability in a rapidly rotating and strong precessing sphere2015

    • Author(s)
      S. Kida
    • Organizer
      15th European Turbulence Conference
    • Place of Presentation
      Delft, The NEtherlands
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 希薄な陽イオン性界面活性剤水溶液の乱流2015

    • Author(s)
      堀本康文、後藤晋、河原源太
    • Organizer
      京都若手ソフトマター研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2015-03-13
    • Related Report
      2014 Research-status Report
  • [Presentation] Laboratory experiments and numerical simulations of flows in precessing cavities2015

    • Author(s)
      Susumu Goto
    • Organizer
      LIMSI seminar
    • Place of Presentation
      LIMSI, France
    • Year and Date
      2015-03-04
    • Related Report
      2014 Research-status Report
  • [Presentation] Linear stability of steady flow in a precessing sphere -- Global and local disturbances2014

    • Author(s)
      Shigeo Kida
    • Organizer
      67th Annual meeting of the APS division of fluid dynamics
    • Place of Presentation
      San Francisco, CA, USA
    • Year and Date
      2014-11-23 – 2014-11-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Transition to turbulence in weakly precessing spherical and spheroidal cavities2014

    • Author(s)
      Susumu Goto
    • Organizer
      France-Japan workshop on transition to turbulence
    • Place of Presentation
      Osaka University
    • Year and Date
      2014-11-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 歳差運動をする容器内における界面活性剤水溶液の定常流の不安定性2014

    • Author(s)
      堀本康文、後藤晋、河原源太
    • Organizer
      第92期日本機械学会流体工学部門講演会
    • Place of Presentation
      富山大学
    • Year and Date
      2014-10-25
    • Related Report
      2014 Research-status Report
  • [Presentation] 歳差運動をする容器内における界面活性剤水溶液の乱流の統計2014

    • Author(s)
      堀本康文、後藤晋、河原源太
    • Organizer
      日本レオロジー学会第62回レオロジー討論会
    • Place of Presentation
      福井市交流プラザ
    • Year and Date
      2014-10-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Flow instability and turbulence in a precessing spherical and spheroidal cavity2014

    • Author(s)
      Shigeo Kida
    • Organizer
      iTi Conference on turbulence VI
    • Place of Presentation
      Bertinoro, Italy
    • Year and Date
      2014-09-21 – 2014-09-24
    • Related Report
      2014 Research-status Report
  • [Presentation] The structure of shear layers in a precessing sphere2014

    • Author(s)
      Shigeo Kida
    • Organizer
      Vortical structures and wall turbulence
    • Place of Presentation
      Centro Congressi Villa Mondragone, Rome, Italy
    • Year and Date
      2014-09-19 – 2014-09-20
    • Related Report
      2014 Research-status Report
  • [Presentation] Instability of steady flow in a precessing sphere2014

    • Author(s)
      Shigeo Kida
    • Organizer
      Interscale transfers and flow topology in equilibrium and nonequilibrium turbulence
    • Place of Presentation
      Sheffield University, Sheffield, England
    • Year and Date
      2014-09-15 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Stability of Steady Flow in a Precessing Sphere --- Global and Local Disturbances2014

    • Author(s)
      Shigeo Kida
    • Organizer
      London Mathematical Society
    • Place of Presentation
      Imperial College, London, UK
    • Related Report
      2013 Research-status Report
  • [Presentation] Localized unstable modes in a precessing sphere2013

    • Author(s)
      Shigeo Kida
    • Organizer
      European Turbulence Conference 14
    • Place of Presentation
      Ecole Normal Superieur de Lyon, Lyon, France
    • Related Report
      2013 Research-status Report
  • [Presentation] 歳差回転球体内の定常流の線形安定性―大域攪乱と局所攪乱2013

    • Author(s)
      木田重雄
    • Organizer
      日本流体力学会
    • Place of Presentation
      東京農工大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 歳差回転する球体内流における乱流リングとMHDダイナモ2013

    • Author(s)
      清水雅樹,小池裕貴,木田重雄
    • Organizer
      プラズマシミュレータシンポジウム
    • Place of Presentation
      核融合科学研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 歳差回転球内流における乱流リングの生成維持メカニズム2013

    • Author(s)
      小池裕貴,清水雅樹,木田重雄
    • Organizer
      多重物理・多重スケール乱流現象の数理 (数理研研究集会)
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] Instability by weak precession of the flow in a rotating sphere2012

    • Author(s)
      Shigeo Kida
    • Organizer
      Topological Fluid Dynamics (IUTAM Symposium)
    • Place of Presentation
      Issac Neqton Institute for Mathematical Sciences (UK)
    • Related Report
      2012 Research-status Report
  • [Presentation] A turbulent ring and MHD dynamo in a precessing sphere2012

    • Author(s)
      Shigeo Kida
    • Organizer
      Tangled Magnetic Fields in Astro- and Plasma Physics (Workshop)
    • Place of Presentation
      Edinburgh (UK)
    • Related Report
      2012 Research-status Report
  • [Presentation] Continuous spin-up and dynamo in a precessing sphere2012

    • Author(s)
      Y. Koike, M. Shimizu, S. Kida, G. Kawahara, S. Goto
    • Organizer
      JSST 2012, International Conference on Simulation Technology
    • Place of Presentation
      神戸大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 微小な鱗扁状粒子による乱流の可視化

    • Author(s)
      後藤晋
    • Organizer
      第41回 可視化情報シンポジウム
    • Place of Presentation
      工学院大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Turbulent mixing in a precessing sphere

    • Author(s)
      Susumu Goto
    • Organizer
      Eighth International Symposium on Turbulence and Shear Flow Phenomena
    • Place of Presentation
      ENSMA, Poitiers, France
    • Related Report
      2013 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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