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1999 Fiscal Year Final Research Report Summary

Control of super-critical distribution in spherical Couette flow by introduction of outside disturbances

Research Project

Project/Area Number 10650169
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionNagoya Institute of Technology

Principal Investigator

NAKABAYASHI Koichi  Nagoya Institute of Technology, Department of Mechanical Engineering, Professor, 工学部, 教授 (90024231)

Co-Investigator(Kenkyū-buntansha) SHA Weiming  Tohoku University, Graduate School of Science, Geophysical Institute, Associate Professor, 大学院・理学研究科, 助教授 (60251716)
Project Period (FY) 1998 – 1999
KeywordsSpherical Couette Flow / Chaos / Laminar-Turbulent Transition / Correlation Dimension / Transition Scenario / Bifurcation / Critical Reynolds Number / Outside Disturbance
Research Abstract

Receptivity of relaminarizing flow in the laminar-turbulent transition process are investigated by the introduction of the outside disturbances into the super-critical flow models with one toroidal TG vortex for clearance ratio β=0.14 in the spherical Couette flow with an inner rotating sphere. Meridional velocity perturbations were introduced as the outside disturbances from a pole by a loudspeaker or cam system. The present work can be summarized as follows :
1. Lowest critical Reynolds number Rec1 for the occurrence of toroidal TG vortex can be defined universally for each β. It is clarified experimentally that the value of Rec1 (Rec1=860 for β=0.14) is not influenced by the outside disturbances.
2. The onset Reynolds numbers of spiral TG vortex and travelling waves are not influenced by the outside disturbances. However, the onset Reynolds number of the relaminarization is influenced by it. The value of the latter changes with the value of frequency of introduced outside disturbance.
3. RMS value of the azimuthal component of fluctuating velocity is not influenced by the outside disturbance, but that of the meridional component is influenced by it in the relaminarizing Re-range.
4. Fundamental frequencies of the disturbances in the super-critical modes are not influenced by the outside disturbances.
5. Skewness factor of the meridional component of fluctuating velocity changes on the sign in the relaminarizing Re-range, but that of the azimuthal component does not change. On the other hand, the flatness factor is not influenced by the outside disturbance.
6. The receptively of the super-critical disturbance modes to the outside disturbances has greater influence in the relaminarizing Re-range than the Re-range from the spiral TG vortex to the chaos.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] Koichi Nakabayashi: "Characteristics of disturbances in the Spherical Couette system"J. of Fluid Mech..

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Weiming Sha: "On the structure, evolution process and formation mechanism of spiral Taylor-Gortler vortices in Spherical Couette flow"J. of Fluid. Mech..

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Koichi Nakabayashi: "Transition to chaos and relaminarization phenomena in spherical couette flow"11th International Couette-Taylor Workshop. 99-100 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Weiming Sha: "On the structure, evolution process and formation mechanism of spiral Taylor-Gortler vortices inspherical couette flow"11th International Couette-Taylor Workshop. 95-96 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中林功一: "2球間クエット流の再層流化現象に与える外部擾乱の効果"日本機械学会東海支部第49期総会講演会論文集. 第49期. 5-6 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中林功一: "2球間クエット超臨界流のカオス挙動の実験的解析"日本機械学会東海支部第48期総会講演会論文集. 第48期. 199-200 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Koichi Nakabayashi: "Lecturenates in Physics : Advances in Couette-Taylor flows and related topics"Christoph Egbers & Gerd Pfister (Springer) 3月. (200)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中林功一: "回転流の数理"(京都大学数理解析研究所)木田重雄. 15 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Koichi Nakabayashi: "Characteristics of disturbances in the spherical Couette system"J. of Fluid Mech.. (to be appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Vortical strucutures and velocity fluctuations of spiral and wavy vortices in the spherical Coutte flow, Lecture notes in Physics : Advances in Coutte-Taylor flows and related topics"Christoph Egbers & Gerd Pfister, (Springer). (to be appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Weiming Sha: "On the structure, evolution process and formation mechanism of spiral Taylor-Goertler vortices in spherical Coutte flow"J. of Fluid Mech.. (to be appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Transition to chaos and relaminarization phenomena in spherical Couette flow"11th International Couette-Taylor Workshop. 99-100 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Weiming Sha: "On the structure, evolution process and formation mechanism of spiral Taylor-Goertler vortices in spherical Couette flow"11th International Couette-Taylor Workshop. 95-96 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Vortex Structure and laminar-turbulent transition in spherical Couette system"Researchers on Rotating Fluids by Shigeo Kida (University of Kyoto). 22-36 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Experimental analysis of chaotic behavior in super-critical spherical Couette flow"Proceeding of JSME Tokai-branch symposium. 199-200 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Influence of input disturbance to the relaminarization phenomenon in spherical Couette flow"Proceeding of JSME Tokai-branch symposium. 5-6 (2000)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2001-10-23  

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