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Development of a perturbative approach for a slow flow past a small spherical particle and clarification of the inverse Magnus effect

Research Project

Project/Area Number 25820041
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Fluid engineering
Research InstitutionThe University of Electro-Communications

Principal Investigator

Taguchi Satoshi  電気通信大学, 情報理工学(系)研究科, 准教授 (90448168)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords逆マグナス効果 / ボルツマン方程式 / 球 / 抵抗 / 揚力 / 希薄気体力学 / 漸近接続展開 / 非連続体効果 / 希薄気体 / エアロゾル / マグナス力 / 漸近解析 / マルチスケール / 希薄気体効果 / 漸近接続 / 微小球形粒子 / 一般すべり流理論
Outline of Final Research Achievements

The lift and drag acting on a spinning sphere placed in a slow uniform flow were investigated on the basis of molecular gas dynamics. It was shown that there is a threshold of the sphere size, below which the direction of the lift is inverted (the inverse Magnus effect). To analyze the flow, a perturbation method of the Boltzmann equation for a flow around a sphere was newly developed. A formula that dramatically simplifies the computation of the lift was found and used. A higher-order correction to the existing drag formula was also obtained.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (14 results)

All 2016 2015 2014

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 2 results) Presentation (12 results) (of which Int'l Joint Research: 4 results,  Invited: 3 results)

  • [Journal Article] Asymptotic theory of a uniform flow of a rarefied gas past a sphere at low Mach numbers2015

    • Author(s)
      Satoshi Taguchi
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 774 Pages: 363-394

    • DOI

      10.1017/jfm.2015.265

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas2014

    • Author(s)
      S. Taguchi
    • Journal Title

      AIP Conference Proceedings

      Volume: 1628 Pages: 51-59

    • DOI

      10.1063/1.4902574

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Lift acting on a spinning sphere in a slow flow of a rarefied gas2016

    • Author(s)
      Satoshi Taguchi
    • Organizer
      30th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      University of Victoria(Victoria, Canada)
    • Year and Date
      2016-07-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Drag acting on a spherical particle: Numerical analysis of a fundamental problem and its application2016

    • Author(s)
      Satoshi Taguchi, Toshihiro Suzuki
    • Organizer
      30th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      University of Victoria(Victoria, Canada)
    • Year and Date
      2016-07-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Slow flow of a rarefied gas past a spinning sphere2016

    • Author(s)
      Satoshi Taguchi
    • Organizer
      Kinetic Theory and Fluid Dynamics: From micro to macroscopic modeling
    • Place of Presentation
      Kyoto University(Kyoto)
    • Year and Date
      2016-05-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Slow flow of a rarefied gas past a sphere: Numerical analysis of fundamental problem2015

    • Author(s)
      Satoshi Taguchi, Toshihiro Suzuki
    • Organizer
      APS 68th Annual DFD Meeting
    • Place of Presentation
      The Hynes Convention Center(Boston, USA)
    • Year and Date
      2015-11-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 球を過ぎる遅い希薄気体流:基本問題の数値解析2015

    • Author(s)
      田口智清
    • Organizer
      日本流体力学会年会2015
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2015-09-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Drag exerted on a spherical particle by a slow motion of a rarefied gas2015

    • Author(s)
      S. Taguchi
    • Organizer
      Japan-Russia Workshop on Supercomputer Modeling, Instability and Turbulence in Fluid Dynamics
    • Place of Presentation
      モスクワ
    • Year and Date
      2015-03-04 – 2015-03-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 遅い一様な希薄気体流中に置かれた球に働く抵抗2014

    • Author(s)
      田口智清
    • Organizer
      日本流体力学会年会2014
    • Place of Presentation
      仙台
    • Year and Date
      2014-09-15 – 2014-09-17
    • Related Report
      2014 Research-status Report
  • [Presentation] 希薄気体流中の微小球形粒子に働く抗力2014

    • Author(s)
      田口智清
    • Organizer
      日本機械学会2014年度年次大会
    • Place of Presentation
      東京
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Higher order correction to the drag exerted on the sphere immersed in a slow uniform flow of a rarefied gas2014

    • Author(s)
      S. Taguchi
    • Organizer
      23rd International Conference on Discrete Simulation of Fluid Dynamics
    • Place of Presentation
      パリ
    • Year and Date
      2014-07-28 – 2014-08-01
    • Related Report
      2014 Research-status Report
  • [Presentation] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas2014

    • Author(s)
      S. Taguchi
    • Organizer
      29th International Symposium on Rarefied Gas Dynamics
    • Place of Presentation
      西安
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Asymptotic theory of a rareed gas fow past a sphere at low Mach numbers2014

    • Author(s)
      S. Taguchi
    • Organizer
      16th RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics
    • Place of Presentation
      Kyoto
    • Year and Date
      2014-07-02 – 2014-07-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas2014

    • Author(s)
      S. Taguchi
    • Organizer
      2014 Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation
    • Place of Presentation
      Kyoto
    • Year and Date
      2014-04-04 – 2014-04-06
    • Related Report
      2014 Research-status Report
    • Invited

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Published: 2014-07-25   Modified: 2019-07-29  

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