• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Detailed Analysis of the Flow in a Precessing Sphere and Spheroid

Research Project

Project/Area Number 15K05219
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)

Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords歳差 / 回転球 / 回転楕円体 / 安定性 / 不規則反転 / 臨界帯
Outline of Final Research Achievements

The structure and stability of the steady flow in a precessing sphere and spheroid were studied by the linear stability theory, the asymptotic analysis and numerical simulation. For a sphere, the stability curve for the steady flow was determined over the whole range of the Poincare and the Reynolds numbers. The asymptotes of this curve agree excellently with the results of corresponding laboratory and numerical experiments. As for a spheroid, the structure of the steady flow was derived analytitcally in the large Reynolds number and small Poincare number limit for arbitrary values of the aspect ratio. The stability analysis of the steady flow showed the same power law as observed by laboratory experiments.

Academic Significance and Societal Importance of the Research Achievements

最もシンプルな形状(球と楕円体)の容器の内部で最もシンプルな運動(2軸まわりの定角速度回転、すなわち歳差運動)によって駆動される流れは、閉領域系で実現する最も基本的で重要な非自明の流れ ― 流体力学の規準系 ― のひとつである。本研究は、その最も基本的な特性(定常流の構造と安定性)を明らかにしたもので、地球など回転する天体の内部構造や混合器、乱流発生装置などの研究に有用な基礎的知見を与えると期待している。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (18 results)

All 2019 2018 2017 2016 2015

All Journal Article (1 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results) Presentation (17 results) (of which Int'l Joint Research: 9 results,  Invited: 1 results)

  • [Journal Article] Steady flow in a rotating sphere with strong precession2018

    • Author(s)
      Shigeo Kida
    • Journal Title

      Fluid Dynamics Research

      Volume: 50 Pages: 1-31

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Instability by weak precession of the flow in a rapidly rotating sphere2019

    • Author(s)
      Shigeo Kida
    • Organizer
      International Coference on Fluid Dynamics (ICFD 2019)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 歳差回転球内流れの線形安定性―強自転弱歳差極限―2019

    • Author(s)
      木田重雄
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 歳差回転楕円体内の定常流2018

    • Author(s)
      木田重雄
    • Organizer
      日本流体力学会年会2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] Critical-band vortex in a strongly precessing sphere2017

    • Author(s)
      Shigeo Kida
    • Organizer
      IUTAM symposium on Dynamics and Topology of Vorticity and Vortices
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Chaotic returns between two unstable steady states of flow in a precessing sphere2017

    • Author(s)
      Shigeo Kida
    • Organizer
      16th European Turbulence Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 歳差回転球内流れ2017

    • Author(s)
      木田重雄
    • Organizer
      第54回 日本航空宇宙学会 関西・中部支部合同秋期大会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Critical-band vortex in a precessing sphere2016

    • Author(s)
      木田重雄
    • Organizer
      69th American Physical Society, Division of Fluid Dynamcis Meeting
    • Place of Presentation
      Portland, USA
    • Year and Date
      2016-11-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 歳差回転球内流れの構造とヘリシティの不規則反転2016

    • Author(s)
      木田重雄
    • Organizer
      日本流体力学会年会2016
    • Place of Presentation
      名古屋工業大学、名古屋
    • Year and Date
      2016-09-26
    • Related Report
      2016 Research-status Report
  • [Presentation] 歳差回転球内流れの定常流―強歳差の極限2016

    • Author(s)
      木田重雄
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学、金沢
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
  • [Presentation] Flow instability in a precessing sphere2016

    • Author(s)
      木田重雄
    • Organizer
      24th International congress of theoretical and applied machanics
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2016-08-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 歳差回転球の臨界帯渦の構造2016

    • Author(s)
      木田重雄
    • Organizer
      第44回可視化情報シンポジウム
    • Place of Presentation
      工学院大学、東京
    • Year and Date
      2016-07-19
    • Related Report
      2016 Research-status Report
  • [Presentation] Random reversals of helicity of the flow in a precessing sphere2016

    • Author(s)
      木田重雄
    • Organizer
      International workshop on theoretical aspects of near-wall turbulence studies
    • Place of Presentation
      関西セミナーハウス、京都
    • Year and Date
      2016-06-28
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Random reversals of helicity in the flow driven by a precessing sphere2016

    • Author(s)
      木田重雄
    • Organizer
      IUTAM symposium on helicity, structures and singularity in fluid and plasma dynamics
    • Place of Presentation
      Venice, Italy
    • Year and Date
      2016-04-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [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 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Int'l Joint Research

URL: 

Published: 2015-04-16   Modified: 2020-03-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi