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Drag and lift forces on a counter-rotating cylinder in rotating flow

Published online by Cambridge University Press:  12 October 2010

CHAO SUN ,
TOM MULLIN ,
LEEN VAN WIJNGAARDEN  and
DETLEF LOHSE
CHAO SUN*
Affiliation:
Physics of Fluids Group, Faculty of Science and Technology, J. M. Burgers Centre for Fluid Dynamics, MESA+ and Impact Institutes, University of Twente, 7500 AE, Enschede, The Netherlands
TOM MULLIN
Affiliation:
Manchester Centre for Nonlinear Dynamics, Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
LEEN VAN WIJNGAARDEN
Affiliation:
Physics of Fluids Group, Faculty of Science and Technology, J. M. Burgers Centre for Fluid Dynamics, MESA+ and Impact Institutes, University of Twente, 7500 AE, Enschede, The Netherlands
DETLEF LOHSE
Affiliation:
Physics of Fluids Group, Faculty of Science and Technology, J. M. Burgers Centre for Fluid Dynamics, MESA+ and Impact Institutes, University of Twente, 7500 AE, Enschede, The Netherlands
*
†Email address for correspondence: c.sun@tnw.utwente.nl
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Abstract

Results are reported of an experimental investigation into the motion of a heavy cylinder free to move inside a water-filled drum rotating around its horizontal axis. The cylinder is observed to either co-rotate or, counter-intuitively, counter-rotate with respect to the rotating drum. The flow was measured with particle image velocimetry, and it was found that the inner cylinder significantly altered the bulk flow field from the solid-body rotation found for a fluid-filled drum. In the counter-rotation case, the generated lift force allowed the cylinder to freely rotate without contact with the drum wall. Drag and lift coefficients of the freely counter-rotating cylinder were measured over a wide range of Reynolds numbers, 2500 < Re < 25000, dimensionless rotation rates, 0.0 < α < 1.2, and gap to cylinder diameter ratios 0.003 < G/2a < 0.5. Drag coefficients were consistent with previous measurements on a cylinder in a uniform flow. However, for the lift coefficient, considerably larger values were observed in the present measurements. We found the enhancement of the lift force to be mainly caused by the vicinity of the wall.

JFM classification

Boundary Layers: Boundary layer separation Wakes/Jets: Wakes/Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 664 , 10 December 2010 , pp. 150 - 173
Copyright
Copyright © Cambridge University Press 2010

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References

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Sun et al. supplementary movie

Movie 1. The movie shows the motion the cylinder (the radius a = 20 mm) in the rotating drum with a rotation frequency $f_{drum}$ = 0.2 Hz. The cylinder co-rotates with the drum.

Download Sun et al. supplementary movie(Video)
Video 477.4 KB

Sun et al. supplementary movie

Movie 2. The movie shows the motion the cylinder (the radius a = 20 mm) in the rotating drum with a rotation frequency $f_{drum}$ = 0.7 Hz. The cylinder counter-rotates with the drum.

Download Sun et al. supplementary movie(Video)
Video 505.2 KB

Sun et al. supplementary movie

Movie 3. The movie shows time evolution of the velocity field around the co-rotating cylinder with radius a = 7.75 mm. The rotating frequency of the drum was set to $f_{drum}$ = 0.15 Hz in this case. The Movie was made by concatenating the consecutively measured instantaneous velocity field of the sampling frequency 50 Hz.

Download Sun et al. supplementary movie(Video)
Video 4.7 MB

Sun et al. supplementary movie

Movie 4. The movie shows time evolution of the velocity field around the counter-rotating cylinder with radius a = 7.75 mm. The rotating frequency of the drum was set to $f_{drum}$ = 0.35 Hz in this case. The Movie was made by concatenating the consecutively measured instantaneous velocity field of the sampling frequency 50 Hz.

Download Sun et al. supplementary movie(Video)
Video 4.7 MB