IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments pp 187-199 | Cite as
Correlation Length and Force Phasing of a Rigid Cylinder Subject to VIV
Abstract
We present direct numerical simulations (DNS) of uniform flow at subcritical Reynolds number past a flexibly-mounted rigid cylinder subject to vortex-induced vibrations (VIV). We investigate different nominal reduced velocities near or in the region of maximum amplitude response for a small mass ratio and zero structural damping. We compute the correlation length of the flow quantities in the near wake and relate it to the force correlations along the cylinder. We perform a complex demodulation analysis to quantify the phase difference between structural displacement and forces. There exists a reduced velocity region near the Strouhal frequency, for which a sharp drop in the spanwise correlation of the flow quantities in the near wake and the forces is observed. This decrease in the spanwise correlation corresponds to a poor phasing between displacement and forces but it does not preclude a large response from the structure.
Keywords
Lift Force Lift Coefficient Rigid Cylinder Complex Demodulation Force CorrelationPreview
Unable to display preview. Download preview PDF.
References
- [1]A. Khalak and C.H.K. Williamson. Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. 13:813–851, 1999.Google Scholar
- [2]R. Govardhan and C.H.K. Williamson. Modes of vortex formation and frequency response of a freely vibrating cylinder. Journal of Fluid Mechanics, 420:85–130,2000.MathSciNetMATHCrossRefGoogle Scholar
- [3]F.S. Hover, A.H. Techet, and M.S. Triantafyllou. Forces on oscillating uniform and tapered cylinders in crossflow. Journal of Fluid Mechanics, 363:97–114, 1998.MathSciNetMATHCrossRefGoogle Scholar
- [4]G.S West and C.J. Apelt. Measurements of fluctuating pressure and forces on a circular cylinder in the Reynolds number range 104 to 2.5 x 105. 7:227-244, 1993.Google Scholar
- [5]J.L.D. Ribeiro. Fluctuating lift and its spanwise correlation on a circualr cylinder in a smooth and in a turbulent flow. J. of Wind Engineering and Industrial Aerodynamics, 40:179–198, 1992.CrossRefGoogle Scholar
- [6]R.D. Blevins. Flow Induced Vibration. Van Nostrand Reinhold Company, New York, New York, 1990.Google Scholar
- [7]G.H. Toebes. The unsteady flow and wake near an oscillating cylinder. ASME Journal of Basic Engineering, 91:493–502, 1969.CrossRefGoogle Scholar
- [8]S.E. Ramberg and O.M. Griffln. The effects of vortex coherence, spacing, and circulation on the flow-induced forces on vibrating cables and bluff structures. Naval Research Laboratory Report 7945, 1976.Google Scholar
- [9]M. Novak and H. Tanaka. Pressure correlations on a vibrating cylinder. Cambridge University Press, Heathrow, 1977. Fourth Int. Conf. on Wind Effects on Buildings and Structures, ed. K. Eaton.Google Scholar
- [10]Stefan Szepessy. On the spanwise correlation of vortex shedding from a circular cylinder at high subcritical reynolds number. Physics of Fluids, 6(7):2406–2416, 1994.CrossRefGoogle Scholar
- [11]H. Mansy, P.-M. Yang, and D.R. Williams. Quantitative measurements of three-dimensional structures in the wake of a circular cylinder. Journal of Fluid Mechanics, 270:277–296, 1994.CrossRefGoogle Scholar
- [12]C. Norberg. Flow around a circular cylinder: Aspects of fluctuating lift. Journal of Fluids and Structures.Google Scholar
- [13]G.E. Karniadakis and S.J. Sherwin. Spectral/hp Element Methods for CFD. Oxford University Press, 1999.Google Scholar
- [14]C. Evangelinos. Parallel Simulations of VIV in Turbulent Flow: Linear and Non-Linear Models. PhD thesis, Division of Applied Mathematics, Brown University, 1999.Google Scholar
- [15]D.J. Newmanand G.E. Karniadakis. Simulations of flow past a freely vibrating cable. J. Fluid Mechanics, 344, 1997.Google Scholar
- [16]T.C.E. Warburton and G.E. Karniadakis. Spectral simulation of flow past a cylinder close to a free surface. In FEDSM97-3689, Proc. Fluids Engineering Division Summer Meeting, Vancouver, 1997.Google Scholar
- [17]D.J. Newman. A computational study of fluid/structure interactions: flowinduced vibrations of a flexible cable. PhD thesis, Princeton University, 1996.Google Scholar
- [18]P. Bloomfield. Fourier Analysis of Time Series: An Introduction. John Wiley & Sons, New York, 1976.MATHGoogle Scholar