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Physics of Fluids / Volume 24 / Issue 1 / ARTICLES / Instability and Transition

Phys. Fluids 24, 014102 (2012); http://dx.doi.org/10.1063/1.3673571 (15 pages)

Negative Magnus lift on a rotating sphere at around the critical Reynolds number

Masaya Muto, Makoto Tsubokura, and Nobuyuki Oshima

Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita13, Nishi8, Kita-ku, Sapporo, Hokkaido 060-8628, Japan

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(Received 22 February 2011; accepted 17 November 2011; published online 5 January 2012)

Negative Magnus lift acting on a sphere rotating about the axis perpendicular to an incoming flow was investigated using large-eddy simulation at three Reynolds numbers of 1.0 × 104, 2.0 × 105, and 1.14 × 106. The numerical methods used were first validated on a non-rotating sphere, and the spatial resolution around the sphere was determined so as to reproduce the laminar separation, reattachment, and turbulent transition of the boundary layer observed in the vicinity of the critical Reynolds number. The rotating sphere exhibited a positive or negative Magnus effect depending on the Reynolds number and the imposed rotating speed. At Reynolds numbers in the subcritical or supercritical regimes, the direction of the Magnus lift force was independent of the rotational speed. In contrast, the lift force was negative in the critical regime when particular rotating speeds were imposed. This negative Magnus effect was investigated in the context of suppression or promotion of boundary layer transition around the separation point.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. NUMERICAL DETAILS
  3. VALIDATION FOR NON-ROTATING SPHERE
  4. RESULTS
    1. Statistical features
    2. Flow structures
  5. SUMMARY

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KEYWORDS and PACS

Keywords

boundary layer turbulence, flow separation, flow simulation, laminar to turbulent transitions, rotational flow

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3673571

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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    J. M. Davies, “The aerodynamics of golf balls,” J. Appl. Phys. 20, 821 (1949)JAPIAU000020000009000821000001.


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