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Effect of the centrifugal force on laminar-turbulent transition on a rotating cone

Research Project

Project/Area Number 22K20406
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 0301:Mechanics of materials, production engineering, design engineering, fluid engineering, thermal engineering, mechanical dynamics, robotics, aerospace engineering, marine and maritime engineering, and related fields
Research InstitutionShinshu University

Principal Investigator

Kato Kentaro  信州大学, 学術研究院工学系, 助教 (40967163)

Project Period (FY) 2022-08-31 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords三次元境界層 / 乱流遷移 / 流れの不安定性 / 光学計測 / 流れの可視化 / 渦 / 流れの定量データ解析 / 実験装置の設計,製作 / 流体力学 / 境界層流れ
Outline of Research at the Start

滑らかな流れ(層流)から乱れた流れ(乱流)への遷移は、流体機械の性能に影響を与える問題として研究されてきた。これらの製品は複雑な曲面を有しているが、一般的な3次元曲面上に発達する流れの乱流遷移を扱った研究は少なく、設計の障害になっている。本研究は、曲面上流れの代表である回転円錐上に発達する流れの渦構造とその崩壊による乱流遷移過程を光学計測を通じて調査する。回転円錐は、頂点角度のみで幾何形状が決まる単純なモデルながら、三次元曲面上に発達する流れに見られる代表的な異なるタイプの渦を発生させることが知られており、本研究では、異なる渦の崩壊時に共通する遠心力,及び軸方向流れの影響を明らかにする。

Outline of Final Research Achievements

Laminar-turbulent transition in the boundary layer on a rotating cone in axial flow is investigated through flow visualization and evaluation of Goertler-number scaling, which is known as a measure representing the centrifugal force. The visualizations show that flow structures develop along the generating line, collapse and lead to transition. In the axial flow, the transition location is determined by Reynolds number based on the local wall velocity and radius that depends on the axial velocity normalized by the rotational rate and kinematic viscosity. In still fluid, however, transition Reynolds number on the cone rotating is not determined uniquely. On the other hand, Goertler number dominates transition for a wide range of axial flow and half-cone angle, assuming the laminar similarity solution. This indicates that the centrifugal effects play an important role in the boundary-layer transition on rotating cones.

Academic Significance and Societal Importance of the Research Achievements

本研究は,流体機械,輸送機械上に発達する三次元的な境界層流れの単純化されたモデルとして回転する円錐上の乱流遷移を可視化実験により観察し,これまで知られていなかった乱流遷移へ影響を与える因子を明らかにした.また,これまでの遷移研究で一般的に用いられてきたレイノルズ数に加えて,遠心力に注目したゲルトラー数で流れを評価することの有用性を示した.

Report

(3 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • Research Products

    (20 results)

All 2024 2023 2022 Other

All Int'l Joint Research (4 results) Journal Article (4 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 4 results,  Open Access: 3 results) Presentation (9 results) (of which Int'l Joint Research: 2 results,  Invited: 1 results) Remarks (3 results)

  • [Int'l Joint Research] KTH Royal Institute of Technology(スウェーデン)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Indian Institute of Science Bangalore(インド)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] University of Leicester(英国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] スウェーデン王立工科大学(スウェーデン)

    • Related Report
      2022 Research-status Report
  • [Journal Article] Goertler-number-based scaling of boundary-layer transition on rotating cones in axial inflow2024

    • Author(s)
      Sumit Tambe, Kentaro Kato, Zahir Hussain
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 25

    • DOI

      10.1017/jfm.2024.379

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Flows Over Rotating Disks and Cones2024

    • Author(s)
      Alfredsson P. Henrik、Kato Kentaro、Lingwood R.J.
    • Journal Title

      Annual Review of Fluid Mechanics

      Volume: 56 Issue: 1 Pages: 45-68

    • DOI

      10.1146/annurev-fluid-121021-043651

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Flows over rotating disks and cones2024

    • Author(s)
      P. H. Alfredsson, K. Kato, and R. J. Lingwood
    • Journal Title

      Annual Review of Fluid Mechanics

      Volume: 56

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Rotating disks and cones a centennial of von Kármán’s 1921 paper2023

    • Author(s)
      KATO Kentaro,LINGWOOD Rebecca J.,ALFREDSSON P. Henrik
    • Journal Title

      Journal of Fluid Science and Technology

      Volume: 18 Issue: 1 Pages: JFST0003-JFST0003

    • DOI

      10.1299/jfst.2023jfst0003

    • ISSN
      1880-5558
    • Related Report
      2023 Annual Research Report 2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Flow instability and transition on a rotating slender cone in a confined space2024

    • Author(s)
      加藤賢太郎, 山田恭介, 高原宏祐, 松原雅春
    • Organizer
      第69回「乱流遷移の解明と制御」研究会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 回転円錐上の三次元境界層における遷移と不安定性の可視化実験による観察2024

    • Author(s)
      山田 恭介, 高原 宏祐, 加藤 賢太郎, 松原雅春
    • Organizer
      日本機械学会北陸信越支部 2024 年合同講演会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 回転円錐上の三次元境界層における遷移の可視化実験2024

    • Author(s)
      高原 宏祐, 山田 恭介, 加藤 賢太郎, 松原 雅春
    • Organizer
      日本機械学会北陸信越支部 2024 年合同講演会
    • Related Report
      2023 Annual Research Report
  • [Presentation] Scalings for eccentric Taylor-Couette-Poiseuille flow2023

    • Author(s)
      Kentaro Kato, P. Henrik Alfredsson, Rebecca J. Lingwood
    • Organizer
      International Couette-Taylor workshop
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Scaling for onset of instability and transition in rotating-cone boundary layers2023

    • Author(s)
      Kentaro Kato, P. Henrik Alfredsson, R. J. Lingwood
    • Organizer
      第67回「乱流遷移の解明と制御」研究会
    • Related Report
      2022 Research-status Report
  • [Presentation] 回転円錐周りの流れ2023

    • Author(s)
      加藤 賢太郎
    • Organizer
      日本機械学会北陸信越支部 2023年合同講演会
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] テイラー・クエット流れの不安定性への軸方向流れと偏心の影響2022

    • Author(s)
      K. Kato, P. H. Alfredsson, P. Schlatter, R. J. Lingwood
    • Organizer
      日本流体力学会年会
    • Related Report
      2022 Research-status Report
  • [Presentation] Instabilities and scalings for eccentric Taylor-Couette-Poiseuille flow2022

    • Author(s)
      K. Kato, P. H. Alfredsson, P. Schlatter, R. J. Lingwood
    • Organizer
      第 66 回「乱流遷移の解明と制御」研究会
    • Related Report
      2022 Research-status Report
  • [Presentation] Measurement of Lagrangian acceleration in two-dimensional channel flow using dynamic-hue particle tracking velocimetry2022

    • Author(s)
      X. Song, T. Okuda, M. Iwanaga, S. Yamauchi, K. Kato, M. Matsubara
    • Organizer
      19th International Conference on Flow Dynamics
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Remarks] Flow instabilities in eccentric TCP flow

    • URL

      https://www.flow.kth.se/projects

    • Related Report
      2023 Annual Research Report
  • [Remarks] Transition in the rotating-cone boundary layer

    • URL

      https://www.flow.kth.se/projects

    • Related Report
      2023 Annual Research Report
  • [Remarks] FLOW A sample of projects 2022

    • URL

      https://www.flow.kth.se/projects

    • Related Report
      2022 Research-status Report

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Published: 2022-09-01   Modified: 2025-01-30  

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