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Study on Goertler and T-S Type Instability of Boundary Layr Flow on Rotating Curved Wall

Research Project

Project/Area Number 09450075
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

HASEGAWA Yutaka  Nagoya University, Graduate School of Engineering, Professor, 工学研究科, 教授 (90023192)

Co-Investigator(Kenkyū-buntansha) ASAKURA Eiji  Nagoya University, Graduate School of Engineering, Research Associate, 工学研究科, 助手 (90135327)
長谷川 豊  名古屋大学, 工学研究科, 助教授 (20198732)
KIKUYAMA Koji  Nagoya University, Graduate School of Engineering, Associate Professor (90023192)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥14,700,000 (Direct Cost: ¥14,700,000)
Fiscal Year 1998: ¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1997: ¥12,300,000 (Direct Cost: ¥12,300,000)
KeywordsBoundary Layr / Transition / Coriolis Force / Centrifugal Force / Wall Curvature / Velocity Distribution / Goertler Vortex / Tollmien-Schlichting Waves
Research Abstract

Stability of laminar boundary layer having a mean velocity of Blasius type was studied by solving numerically the perturbation equations when the boundary layer is subject to the centrifugal force due to the streamline curvature and the Coriolis force due to the system rotation and the following results have obtained theoretically.
(1) When the Coriolis force acts toward the concave surface, the boundary layer is more unstable and vortices are generated at a lower value of wall curvature. With larger Coriolis force, Goetler vortices would appear even on a convex surface.
(2) In a lamianr boundary layer with an adverse pressure gradient occurrence of the Goertler vortices are promoted by the Coriolis force acting toward the wall surface.
In order to verify the calculation results, a curved channel whose radius of curvature and aspect ratio of the channel section are equal to 1000mm and 8, respectively, was made and mounted on a rotating table of 3000mm diameter. Air was introduced through an two-dimensional nozzle and exhaused azially theou the axis. The natue of the boundary layer on a convex and concave surfaces were ezmained on a thin durved plate inserted along the centerline of the channel using a hot wire probe.
Experiments were carried out in a stationary state of the channel at the Reynolds numbers of Re = 40,000 and 80,000. The following results were obtained.
The centrifugal force causes a large effect on the development of the boundary layer and accelerate the transition to the turbuent state in the concave side but the force suppresses the turbulent motion in the boundary layer on the convex side and deleys the transition to the turbulent state.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] 長谷川豊,他3名: "回転場における境界層流れのゲルトラ不安定性に関する研究" ターボ機械協会講演論文集(宇部講演会). 38・2. 132-137 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 菊山功嗣,他2名: "回転する曲がり流路内の乱流遷移に関する研究" 日本機械学会講演論文集(流体工学部門トークイン). 97-62,I-E2. 1-2 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kikuyama,他1名: "Effects of Coriolis Force on Instability of Laminar Boundary Layer on a Concave Surface" Proc.of US-Japan Seminar : Abnormal Flow Phenomena in Turbomachines. Stall. 1-10 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Hasegawa, et al.: "Study on Goertler Type Instability of Boundary Layr Flow in Rotating System (in Japanese)" Proceedings of Turbomachinery Simposium. 38-2. 132-137 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kikuyama, et al.: "Study on Laminar-Turbulent Transition of a Curved Channel Flow in Rotating System (in Japanese)" Proceedings of JSME Fluid Engineering Division. 97-62, I-E2. 1-2 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kikuyama, et al.: "Effects of Coriolis Force on Instability of Laminar Boundary Layr on a Concave Surface" Proceedings of US-Japan Seminar : Abnormal Flow Phenomena in Turbomachines. Vol.'Stall'. 1-10 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kikuyama,他1名: "Effects of Coriolis Force on Instability of Laminar Boundary Layer on a Concave Surface" Proc.of US-Japan Seminar: Abnormal Flow Phenomena in Turbomachines. Stall. 1-10 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 長谷川豊, 他3名: "回転場における境界層流れのゲルトラ不安定性に関する研究" ターボ機械協会講演論文集(宇部講演会). 38・2. 132-137 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 菊山功嗣,他2名: "回転する曲がり流路内の乱流遷移に関する研究" 日本機械学会講演論文集(流体工学部門ト-クイン). 97-62, I-E2. 1-2 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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