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Interaction of a deep-water wave with a vertical cylinder: effect of self-excited vibrations on quantitative flow patterns

Published online by Cambridge University Press:  23 January 2007

M. OZGOREN  and
D. ROCKWELL
M. OZGOREN
Affiliation:
Department of Mechanical Engineering and Mechanics, 356 Packard Laboratory, 19 Memorial Drive West, Lehigh University, Bethlehem, PA 18015, USAdor0@lehigh.edu
D. ROCKWELL
Affiliation:
Department of Mechanical Engineering and Mechanics, 356 Packard Laboratory, 19 Memorial Drive West, Lehigh University, Bethlehem, PA 18015, USAdor0@lehigh.edu
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Abstract

Interaction of a deep-water wave with a cylinder gives rise to ordered patterns of the flow structure, which are quantitatively characterized using a technique of high-image-density particle image velocimetry. When the cylinder is stationary, the patterns of instantaneous flow structure take on increasingly complex forms for increasing Keulegan--Carpenter number KC. These patterns involve stacking of small-scale vorticity concentrations, as well as large-scale vortex shedding. The time-averaged consequence of these patterns involves, at sufficiently high KC, an array of vorticity concentrations about the cylinder.

When the lightly damped cylinder is allowed to undergo bidirectional oscillations, the trajectories can be classified according to ranges of KC. At low values of KC, the trajectory is elliptical, and further increases of KC allow, first of all, both elliptical and in-line trajectories as possibilities, followed by predominantly in-line and figure-of-eight oscillations at the largest value of KC.

Representations of the quantitative flow structure, in relation to the instantaneous cylinder position on its oscillation trajectory, show basic classes of patterns. When the trajectory is elliptical, layers of vorticity rotate about the cylinder surface, in accordance with rotation of the relative velocity vector of the wave motion with respect to the oscillating cylinder. Simultaneously, the patterns of streamline topology take the form of large-scale bubbles, which also rotate about the cylinder. When the cylinder trajectory is predominantly in-line with the wave motion, generic classes of vortex formation and shedding can be identified; they include sweeping of previously shed vorticity concentrations past the cylinder to the opposite side. Certain of these patterns are directly analogous to those from the stationary cylinder.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 572 , February 2007 , pp. 189 - 217
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Adrian, R. J. 1991 Particle-imaging techniques for experimental fluid mechanics. Annu. Rev. Fluid Mech. 23, 261–304.Google Scholar
Anagnostopoulos, P., Iliadis, G. & Ganoulis, J. 1995 Flow and response parameters of a circular cylinder vibrating in-line with the oscillating stream. In Flow-Induced Vibration (ed. P. Bearman), pp. 167–179. Balkema.Google Scholar
Angrilli, F. & Cossalter, V. 1982 Transverse oscillations of a vertical pile in waves. Trans. ASME I: J. Fluids Engng 104, 46–53.Google Scholar
Bearman, P. W., Graham, J. M. R., Naylor, P. & Obasaju, E. D. 1981 The role of vortices in oscillatory flow about bluff bodies. Proc. Intl Symp. on Hydrodynamics and Ocean Engineering (The Norwegian Institute of Technology), pp. 621–644.Google Scholar
Bearman, P. W. & Hall, P. F. 1987 Dynamic response of circular cylinders in oscillatory flow and waves. In Proc. BHRA Conf. on Flow-Induced Vibrations pp. 183–190. Bowness-on-Windemere, UK (ed. King, R.), BHRA, Cranfield.Google Scholar
Borthwick, A. G. L. & Herbert, D. M. 1988 Loading and response of a small diameter flexibly mounted cylinder in waves. J. Fluids Struct. 2, 479–501.CrossRefGoogle Scholar
Downes, K. & Rockwell, D. 2003 Oscillations of a vertical elastically-mounted cylinder in waves: imaging of vortex patterns. J. Fluids Struct. 17, 1017–1033.CrossRefGoogle Scholar
Dütsch, H., Durst, F., Becker, S. & Lienhart, H. 1998 Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers. J Fluid Mech. 360, 249–271.Google Scholar
Elston, J. R., Sheridan, J. & Blackburn, H. 2004 Two dimensional Floquet stability analysis of the flow produced by an oscillating circular cylinder in quiescent fluid. Eur. J. Mech. B/Fluids 23, 99–106.Google Scholar
Guilmineu, E. & Queutey, P. 2002 A numerical simulation of vortex shedding from an oscillating circular cylinder. J. Fluids Struct. 16, 773–794.CrossRefGoogle Scholar
Hayashi, K. & Chaplin, J. R. 1998 Vortex-excited vibration of a vertical circular cylinder in waves. Intl J. Offshore Polar Engng 8, 66–73.Google Scholar
Heinzer, A. & Dalton, C. 1969 Wake observations for oscillating cylinders. Trans. ASME D: J. Basic Engng 850–853.Google Scholar
Honji, H. 1981 Streaked flow around an oscillating circular cylinder. J. Fluid Mech. 107, 509–520.Google Scholar
Ikeda, S. & Yamamoto, Y. 1981 Lift force on cylinders in oscillatory flows. Rep. Dept of Found. Engng and Const. Engng (Saitama University), no. 10.Google Scholar
Isaacson, M. & Maull, D. J. 1981 Dynamic response of vertical piles in waves. Intl Symp. on Hydrodynamics in Ocean Engineering (The Norwegian Institute of Technology), pp. 887–904.Google Scholar
Iwagaki, Y., Asano, T. & Nagai, F. 1983 Hydrodynamic forces on a circular cylinder placed in wave-current co-existing fields. Memo Faculty of Engineering (Kyoto University, Japan) 45, 11–23.Google Scholar
Kaye, D. 1989 Oscillation of a vertical cylinder in waves. PhD dissertation, University of Cambridge.Google Scholar
Kaye, D. & Maull, D. J. 1993 The response of a vertical cylinder in waves. J. Fluids Struct. 7, 867–896.Google Scholar
Kozakiewicz, A., Sumer, B. M. & Fredsøe, J. 1997 Vortex regimes around a freely vibrating cylinder in oscillatory flow. Intl J. Offshore Polar Engrs 7, 1053–5381.Google Scholar
Li, Y. S., Zhan, S. & Lau, S. L. 1997 In-line response of a horizontal cylinder in regular and random waves. J. Fluids Struct. 11, 73–87.Google Scholar
Lin, X. W., Bearman, P. W. & Graham, J. M. R. 1996 A numerical study of oscillatory flow about a circular cylinder for low values of Beta parameter. J. Fluids Struct. 10, 501–526.Google Scholar
Lipsett, A. W. & Williamson, I. D. 1991 Modelling the response of flexibly mounted cylinders in oscillatory flow. Proc. First Intl Offshore and Polar Engineering Conf. pp. 370–377.Google Scholar
Lipsett, A. W. & Williamson, I. D. 1994 Response of a cylinder in oscillatory flow. J. Fluids Struct. 8, 681–709.CrossRefGoogle Scholar
Obasaju, E. D., Bearman, P. W. & Graham, J. M. R. 1988 A study of forces, circulation and vortex patterns around a circular cylinder in oscillating flow. J. Fluid Mech. 196, 467–494.CrossRefGoogle Scholar
Ozgoren, M. & Rockwell, D. 2004 Interaction of a deep-water wave with a vertical cylinder at low KC number transition from phase-locked modes of vortex formation. Phys. Fluids 16, 2700–2703.CrossRefGoogle Scholar
Raffel, M., Willert, C. & Kompenhans, J. 1998 Particle Image Velocimetry: A Practical Guide Springer.Google Scholar
Sarpkaya, T. 1986 Force on a circular cylinder in viscous oscillatory flow at low Keulegan–Carpenter numbers. J. Fluid Mech. 165, 61–71.CrossRefGoogle Scholar
Sarpkaya, T. & Isaacson, M. De St. Q. 1981 Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reinhold.Google Scholar
Sarpkaya, T. & Rajabi, F. 1979 Dynamic response of piles to vortex shedding in oscillating flows. Eleventh Annual Offshore Technol. Conf. (OTC) 3647 Houston, TX, pp. 2523–2528.Google Scholar
Sawaragi, T., Nakamura, T. & Miki, H. 1977 Dynamic behavior of a circular pile due to eddy shedding in waves. Coastal Engng Japan 20, 109–120.Google Scholar
Sumer, B. M. & FredsøE, J. 1988 Transverse vibrations of an elastically mounted cylinder exposed to an oscillating flow. J. Offshore Mech. Arctic Engng 110, 387–394.Google Scholar
Sumer, B. M. & Fredsøe, J. 1997 Hydrodynamics around cylindrical structures. World Scientific.Google Scholar
Sun, X. & Dalton, C. 1996 Application of the LES method to the oscillating flow past a circular cylinder. J. Fluids Struct. 10, 851–872.Google Scholar
Tatsuno, M. & Bearman, P. W. 1990 A visual study of the flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers and low Stokes numbers. J. Fluid Mech. 211, 157–182.Google Scholar
Westerweel, J. 1993 Digital particle image velocimetry: theory and application. Doctoral Dissertation, Delft University.Google Scholar
Williamson, C. H. K. 1985a Sinusoidal flow relative to circular cylinders. J. Fluid Mech. 155, 141–174.Google Scholar
Williamson, C. H. K. 1985b In-line response of a cylinder in oscillatory flow. Appl. Ocean Res. 7, 97–106.Google Scholar
Yang, Y. & Rockwell, D. 2002 Wave interaction with a vertical cylinder: spanwise flow patterns and loading. J. Fluid Mech. 460, 93–129.Google Scholar
Yang, Y. & Rockwell, D. 2004 Interaction of deep-water wave with a vertical cylinder: flow structure and loading. J. Fluid Mech. 520, 267–295.Google Scholar
Zedan, M. F., Yeung, J. Y., Salane, H. J. & Fischer, F. J. 1981 Dynamic response of a cantilever pile to vortex shedding in regular waves. Trans. ASME J. Energy Resources Technol. 103, 32–40.Google Scholar
Zhang, J. & Dalton, C. 1999 The onset of three dimensionality in an oscillating flow past a fixed circular cylinder. Intl J. Numer. Meth. Fluids 30, 19–42.Google Scholar