Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-21T16:58:06.102Z Has data issue: false hasContentIssue false

Wake states of a tethered cylinder

Published online by Cambridge University Press:  14 November 2007

J. CARBERRY
Affiliation:
Department Mechanical Engineering, Monash University 3800, [email protected]
J. SHERIDAN
Affiliation:
Department Mechanical Engineering, Monash University 3800, [email protected]

Abstract

This paper describes an experimental investigation of a buoyant, m*<1, tethered cylinder which is free to move in an arc about its pivot points. The response of the cylinder, in particular its layover angle and flow-induced motion, is considered for a range of flow velocities and mass ratios. At pertinent parameters, the flow fields were also measured using particle image velocimetry (PIV). At lower mass ratios, 0.54≤m*≤0.72, two distinct states are observed, the low-amplitude and upper states. The transition from the low-amplitude state to the upper state is characterized by abrupt jumps in the amplitude of oscillation, the mean tether angle and the drag coefficient as well as distinct changes in the cylinder's wake. At higher mass ratios, the jump does not occur; however, as m* approaches unity at low flow velocities the cylinder's motion is more periodic than that observed at lower m*. The flow fields indicate that the low-amplitude state exhibits a 2S Kármán wake. The wake of the upper state has long shear layers extending well across the wake centreline, is not fully symmetric and is often consistent with either the 2P or P+S shedding modes. There is a collapse of the response data, in particular an excellent collapse of the mean layover angle, when the response parameters are plotted against the buoyancy Froude number, Frbuoyancy=U/((1-m*) gD)0.5. When the data collapses, the two states described above are clearly delineated.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Carberry, J., Govardhan, R., Sheridan, J., Rockwell, D. & Williamson, C. H. K. 2004 Wake states and response branches of forced and freely oscillating cylinders. Eur. J. Mech. B/Fluids 23, 8997.Google Scholar
Carberry, J. Sheridan, J. & Rockwell, D. 2005 Controlled oscillations of a cylinder: forces and wake modes. J. Fluid Mech. 538, 3169.Google Scholar
Govardhan, R. & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech. 420, 85130.Google Scholar
Govardhan, R. & Williamson, C. H. K. 2002 Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration. J. Fluid Mech. 473, 147166.Google Scholar
Govardhan, R. & Williamson, C. H. K. 2005 Vortex-induced vibrations of a sphere. J. Fluid Mech. 531, 1147.Google Scholar
Jauvtis, N. & Williamson, W. H. K. 2004 The effect of two degrees of freedom on vortex-induced vibration at low mass and damping. J. Fluid Mech. 509, 2362.Google Scholar
Ongoren, A. & Rockwell, D. 1988 Flow structure from an oscillating cylinder. Part 2. Mode competition in the near wake. J. Fluid Mech. 191, 225245.Google Scholar
Ryan, K. 2004 The analysis of wake structures behind stationary, freely oscillating and tethered cylinders. PhD thesis, Monash University.Google Scholar
Ryan, K., Thompson, M. C. & Hourigan, K. 2002 Energy transfer in a vortex induced vibrating tethered cylinder system. Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Port Douglas, Australia.Google Scholar
Ryan, K., Thompson, M. C. & Hourigan, K. 2003 Flow-induced vibrations of a tethered circular cylinder. IUTAM Symposium on Integrated Modelling of Fully Coupled Fluid–Structure Interactions Using Analysis, Computations, and Experiments, Rutgers, NJ, 6 June.Google Scholar
Ryan, K., Pregnalato, C. J., Thompson, M. C. & Hourigan, K. 2004 a Flow-induced vibrations of a tethered circular cylinder. J. Fluids Struct. 19, 10851102.Google Scholar
Ryan, K., Thompson, M. C. & Hourigan, K. 2004 b Vortex structures in the wake of a buoyant tethered cylinder at moderate to high reduced velocities. Eur. J. Mech. B/Fluids 23, 127135.Google Scholar
Sarpkaya, T. 1978 Fluid forces on oscillating cylinders. J. Waterway Port Coastal Ocean Div. 106, 275290.Google Scholar
Shiels, D., Leonard, A. & Roshko, A. 2001 Flow-induced vibration of a circular cylinder at limiting structural parameters. J. Fluids Struct. 15, 321.Google Scholar
Zdravkovich, M. M. 1997 Flow around circular cylinders, vol. 1: Fundamentals. Oxford University Press.Google Scholar