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1997 Fiscal Year Final Research Report Summary

Study and turbulence control of the laminar-turbulent transition in the spherical Couette flow

Research Project

Project/Area Number 08650198
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, Faculty of Engineering, Professor, 工学部, 教授 (90024231)

Co-Investigator(Kenkyū-buntansha) SHA Weiming  Nagoya Institute of Technology, Faculty of Engineering, Reasearch Associaste, 工学部, 助手 (60251716)
Project Period (FY) 1996 – 1997
KeywordsSpherical Couette flow / Chaos / Laminar-Turbulent Transition / Poincare section / First Return Map / Correlation Dimension / Trasition Scenario / Numerical Simulation
Research Abstract

The laminar-turbulent transition of spherical Couette flow was investigated by laboratory experiment, theoretical analysis and numerical simulations. Calculating the correlation dimension and drawing the Poincare section, it is revealed for case of clearance ratio beta=0.14 that the flow field traces a scenario as follows ; steady state--> periodic state --> quasi-periodic state --> chaos --> periodic state --> steady state --> periodic state --> chaos. It is also shown that in the quasi-periodic state the first return map becomes irreversible as the Reynolds number increases. For other cases of clearance ratio, it is found that fluctuation disappearance phenomenon occurs in a range of beta=0.13-0.17. A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations spherical polar coordinates. The numerical code was then used to compute the spherical Couette flow between two spheres with the inner sphere rotating for case of clearance ratio beta=0.14, and we successfully simulated the subcritical and supercritical flows. In particular, careful direct numerical simulations on the spiral TG vortex flow has been performed, and systematical analysis has been carried out to explore the detailed structure, evolution process and generation mechanism of the spiral TG vortex flow.

  • Research Products

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 中林 功一: "すきま比P=0.14での回転2球間クエット流の層流一乱流遷移のカオス" 日本機械学会論文集. 63.615. 3499-3504 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中林 功一: "実験と数値解析による内球回転2球間クエット流の層流一乱流遷移に関する研究" 航空宇宙技術研究所特別資料. SP-35. 47-51 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 余 偉明: "時空間2次精度差分のデカップリング手法による回転2球間クエット流の直接数値シミュレーション" 日本機械学会論文集. 64.619. 656-661 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Weiming Sha: "An accurate Second-order opproximation factoriation method for time-dependent imompressible Narer-Slokes Equations in sphoieal polar Coordinets" J.Comput.Phye.141. 1-20 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Koichi Nakabayashi: "Chaotic behavior of the laminar-turbulent transition in spherical Couette flow of clearance ratio beta=0.14" Transactions of the Japan Society of Mechanical Engineering, B. vol.63. 9-14 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Koichi Nakabayashi: "Study on the laminar-turbulent transition in spherical Couette flow by laboratory experiment and numerical analysis" Special publication of national aerospace laboratory. SP-35. 47-51 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Weiming Sha: "Direct numerical simulation on spherical Couette flow based on a decoupling method with second-order accuracy in time and space" Transactions of the Japan Society of Mechanical Engineering, B. vol.64. 656-661 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Weiming Sha: "A accurate second-order approximation factorization method for time dependent incompressible Navier-Stokes equations in spherical polar coordinates." J.Comput.Phys.141. 1-20 (1998)

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

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Published: 1999-03-16  

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