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Drag and torque acting on a sphere rotating in the streamwise direction for the Reynolds number range of 0.02 ≤ Re ≤ 200

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Abstract

Uniform flow past a sphere rotating in the streamwise direction is investigated numerically for the purpose of understanding the effect of rotation of the sphere on flow characteristics. The range of the Reynolds number considered is 0.02 ≤ Re ≤ 200. The rotational speed of the sphere is in the range of 0 ≤ Ω ≤ 1.5, where Ω is the maximum azimuthal velocity of the sphere normalized by the freestream velocity. New formulae for drag coefficient and torque are provided in terms of the Reynolds number and rotation speed.

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References

  1. R. I. Ovseenko and Y. G. Ovseenko, Drag of a rotating sphere, Fluid Dyn., 3 (1971) 78–82.

    Article  MATH  Google Scholar 

  2. D. Kim and H. Choi, Laminar flow past a sphere rotating in the streamwise direction, J. Fluid Mech., 461 (2002) 365–386.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. K. W. Poon, A. S. H. Ooi, M. Giacobello and R. C. Z. Cohen, Laminar flow structures from a rotating sphere: Effect of rotating axis angle, Int. J. Heat Fluid Flow, 31 (2010) 961–972.

    Article  Google Scholar 

  4. E. K. W. Poon, A. S. H. Ooi, M. Giacobello and R. C. Z. Cohen, Hydrodynamic forces on a rotating sphere, Int. J. Heat Fluid Flow, 42 (2013) 278–288.

    Article  Google Scholar 

  5. B. Pier, Periodic and quasiperiodic vortex shedding in the wake of a rotating sphere, J. Fluid Struct., 41 (2013) 43–50.

    Article  Google Scholar 

  6. K. Kim, S. Baek and H. Sung, An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations, Int. J. Num. Methods Fluids, 38 (2002) 125–138.

    Article  MATH  Google Scholar 

  7. R. Clift, J. R. Grace and M. E. Weber, Bubbles, drops and particles, Courier Corporation (2005).

    Google Scholar 

  8. B. Fornberg, Steady viscous flow past a sphere at high Reynolds numbers, J. Fluid Mech., 190 (1988) 471–489.

    Article  Google Scholar 

  9. A. G. Tomboulides and S. A. Orszag, Numerical investigation of transitional and weak turbulent flow past a sphere, J. Fluid Mech., 416 (2000) 45–73.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Computational Science and Engineering, Yonsei University, Seoul, 120-749, Korea

    Hojun Lee & Changhoon Lee

  2. Department of Mechanical Engineering, Yonsei University, Seoul, 120-749, Korea

    Changhoon Lee

Authors
  1. Hojun Lee
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  2. Changhoon Lee
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Corresponding author

Correspondence to Changhoon Lee.

Additional information

Recommended by Associate Editor Jungil Lee

Hojun Lee received his B.S. (2013) in Mechanical Engineering and Physics from Yonsei University, Seoul, Korea. He is a Ph.D. candidate of Yonsei University in Computational Science & Engineering. His research interests include spherical particle-fluid interaction and the stratification effects on the flow around the spherical particle.

Changhoon Lee received his B.S. (1985) and M.S. (1987) degrees from Seoul National University, Seoul, Korea and Ph.D. (1993) from UC Berkeley, USA., in Mechanical Engineering. He is Professor in the Department of Computational Science & Engineering and Department of Mechanical Engineering, Yonsei University, Korea. His research interests include fundamentals of turbulence, particle-turbulence interaction, numerical algorithms, air pollution modeling and stochastic process.

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Lee, H., Lee, C. Drag and torque acting on a sphere rotating in the streamwise direction for the Reynolds number range of 0.02 ≤ Re ≤ 200. J Mech Sci Technol 31, 5285–5289 (2017). https://doi.org/10.1007/s12206-017-1022-3

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  • DOI: https://doi.org/10.1007/s12206-017-1022-3

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