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Bifurcation Phenomena and Transient Dynamics of the Flow between Rotating Cylinders with Finite Length

Research Project

Project/Area Number 14550146
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionNagoya University

Principal Investigator

WATANABE Takashi  Nagoya University, Center for Information Media Studies, Professor, 情報メディア教育センター, 教授 (40182927)

Co-Investigator(Kenkyū-buntansha) YAMASHITA Shintaro  Gifu University, Faculty of Engineering, Professor, 工学部, 教授 (20023236)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥2,500,000 (Direct Cost: ¥2,500,000)
KeywordsTaylor Couette Flow / Rotating Disc / Bifurcation Phenomena / Initial Fluctuation of Flow / Transient Dynamics / Non-unique Flow / Complex Systems Science / Computational Fluid Dynamics / 端面効果 / 流動モード / 分岐現象 / 流体工学
Research Abstract

Numerical studies were carried out on the flow, development and bifurcation phenomena in the flow between rotating cylinders. The flows around a rotating disc, as well as flows around circular cylinders, were investigated. In the case of the circular cylinders, we focused our attention on flows with free surface and initial fluctuations of velocity. The free surface model represented the effect of the surface tension in addition to the gravitational effect. The effect of the centrifugal force appears firstly at the free surface, and then the Ekman layer begins to develop on the stationary lower end wall. The final flow pattern, including the structure of the surface waves, showed good agreement with the experimental observation. In experiments, inevitable sources of physical errors appears. Considering these facts, we introduced quasi-isotropic flows in initial conditions and investigated their effects on flow developments. The intensity of the initial velocities~ were estimated by measuring the viscous scale. The numerical results showed that the final flow mode largely depended on the initial intensities and almost all the flow modes observed by experiments were predicted. In the study on flows around a rotating disc in a cylindrical enclosure, unstable flows in the gap between the rim of the disc and the inner wall of the enclosure were examined. It was shown that the unstable flow in the gap drastically changed the entire flow, and the bifurcation diagram with the increase in the Reynolds number was clarified.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] 渡辺 崇: "低アスペクト比のテイラー渦流れのモード形成に関する3次元数値解析"日本計算工学会論文集. 20030022. 1-8 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Furukawa, H.: "Identification of vortex information from flow field in Taylor-Couette system"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 22-25 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kashimoto, M.: "Initial fluctuation in velocity field and mode variation of Taylor-Couette flow"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 35-38 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Toya, Y.: "3-dimensional numerical analysis of the Taylor vortex flow with small aspect ratio (dynamical condition for the determination of flow mode)"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 73-76 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Morisue, T.: "Influence of rim-shround clearance on flow around rotating disc in cylindrical enclosure"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 156-159 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Watanabe, T., Umemura, N., Furukawa, H., Nakamura, I.: "Three-dimensional numerical study on mode transitions of developing Taylor-Couette flow in very short annulus"Trans. Japan Society for Computational Engineering and Science. No.20030022. 1-8 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Furukawa, H., Watanabe, T., Nakamura, I.: "Identification of vortex information from flow Field in Taylor-Couette system"Nonlinear Dynamics in Fluids (eds., Marques, F., Meseguer, A.). 22-25 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kashimoto, M., Watanabe, T., Morisue, T., Toya, Y., Furukawa, H., Nakamura, I.: "Initial fluctuation in velocity field and mode variation of Taylor-Couette flow"Nonlinear Dynamics in Fluids (eds., Marques, F., Meseguer, A.). 35-38 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Toya, Y., Watanabe, T., Furukawa, H., Nakamura, I.: "3-dimensional numerical analysis of the Taylor vortex flow with a small aspect ratio (dynamical condition for the determination of the final mode)"Nonlinear Dynamics in Fluids (eds., Marques, F., Meseguer, A.). 73-76 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Morisue, T., Watanabe, T., Kashimoto, M., Aoi, K., Nakamura, I.: "Influence of rim-shroud clearance on flow around rotating disc in cylindrical enclosure"Nonlinear Dynamics in Fluids (eds., Marques, F., Meseguer, A.). 156-159 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 渡辺 崇: "低アスペクト比のテイラー渦流れのモード形成に関する3次元数値解析"日本計算工学会論文集. 20030022. 1-8 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Furukawa, H.: "Identification of vortex information from flow field in Taylor-Couette system"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 22-25 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Kashimoto, M.: "Initial fluctuation in velocity field and mode variation of Taylor-Couette flow"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 35-38 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Toya, Y.: "3-dimensional numerical analysis of the Taylor vortex flow with small aspect ratio (dynamical condition for the determination of flow mode)"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 73-76 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Morisue, T.: "Influence of rim-shround clearance on flow around rotating disc in cylindrical enclosure"Nonlinear Dynamics in Fluids. ISBN:84-95999-28-5. 156-159 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 古川 裕之: "定量的なモード判定法を用いたテイラー渦流れの形成過程の非一意性に関する研究"日本計算工学会論文集. 4. 209-218 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 古川 裕之: "アスペクト比が小さい場合のテイラー渦流れ(変異・正規モード間の流動形態変化と非定常モードの遷移過程)"日本機械学会論文集(B編). 68・674. 2671-2678 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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