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

• Project/Area Number: 25820041
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Fluid engineering
• Research Institution: The 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: ¥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.

Research Products

• [Journal Article] Asymptotic theory of a uniform flow of a rarefied gas past a sphere at low Mach numbers (2015)
  • Author(s): Satoshi Taguchi
  • Journal Title: Journal of Fluid Mechanics Volume: 774 Pages: 363-394
  • DOI: 10.1017/jfm.2015.265
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas (2014)
  • Author(s): S. Taguchi
  • Journal Title: AIP Conference Proceedings Volume: 1628 Pages: 51-59
  • DOI: 10.1063/1.4902574
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Lift acting on a spinning sphere in a slow flow of a rarefied gas (2016)
  • 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
  • Int'l Joint Research
• [Presentation] Drag acting on a spherical particle: Numerical analysis of a fundamental problem and its application (2016)
  • 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
  • Int'l Joint Research
• [Presentation] Slow flow of a rarefied gas past a spinning sphere (2016)
  • 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
  • Int'l Joint Research / Invited
• [Presentation] Slow flow of a rarefied gas past a sphere: Numerical analysis of fundamental problem (2015)
  • 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
  • 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
• [Presentation] Drag exerted on a spherical particle by a slow motion of a rarefied gas (2015)
  • 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
• [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
• [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
• [Presentation] Higher order correction to the drag exerted on the sphere immersed in a slow uniform flow of a rarefied gas (2014)
  • 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
• [Presentation] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas (2014)
  • 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
• [Presentation] Asymptotic theory of a rareed gas fow past a sphere at low Mach numbers (2014)
  • 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
  • Invited
• [Presentation] On the drag exerted on the sphere by a slow uniform flow of a rarefied gas (2014)
  • 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
  • Invited