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

  • CHAO SUN (a1), TOM MULLIN (a2), LEEN VAN WIJNGAARDEN (a1) and DETLEF LOHSE (a1)
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.

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Corresponding author
Email address for correspondence: c.sun@tnw.utwente.nl
References
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Journal of Fluid Mechanics
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Type Description Title
VIDEO
Movies

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.

 Video (477 KB)
477 KB
VIDEO
Movies

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.

 Video (4.7 MB)
4.7 MB
VIDEO
Movies

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.

 Video (4.7 MB)
4.7 MB
VIDEO
Movies

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.

 Video (505 KB)
505 KB

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