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Sinusoidal flow relative to circular cylinders

Published online by Cambridge University Press:  20 April 2006

C. H. K. Williamson
C. H. K. Williamson
Affiliation:
Engineering Department, University of Cambridge
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Abstract

The motions of vortices around single cylinders and around pairs of cylinders in relative sinusoidal flow are investigated in this paper. Using simultaneous flow visualization and force measurements, the vortex motions are related to the fluid-induced lift and in-line forces. For the single cylinder, several repeatable patterns of vortex shedding are identified within particular ranges of flow amplitude. The process of pairing of vortices from a previous half cycle with those in a present half cycle is fundamental to all the patterns. Visualization is shown to be more effective in a reference frame which is fixed with respect to the undisturbed fluid rather than with respect to the cylinders. For this reason, the examples of vortex motions are taken from a rig in which vertical cylinders are oscillated in a tank of fluid. By oscillating a pair of cylinders over a range of gaps, orientations and amplitudes, it is found that the vortex-shedding patterns identified for a single cylinder can synchronize either in phase or in antiphase between the two cylinders. Such observations help to explain how lift and in-line forces are influenced by cylinder proximity and in some cases these forces are significantly magnified. Force coefficients are evaluated for both the single cylinder and the pair of cylinders.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 141 - 174
Copyright
© 1985 Cambridge University Press

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References

Bearman, P. W., Graham, J. M. R., Naylor, P. & Obasaju, E. 1981 The role of vortices in oscillatory flow about bluff cylinders. Intl Symp. Hydrodynamics in Ocean Engineering, Norw. Inst. Tech. pp. 621–626.
Bearman, P. W., Graham, J. M. R. & Singh, S. 1979 Forces on cylinders in harmonically oscillating flow. In Mechanics of Wave Induced Forces on Cylinders (ed T. L. Shaw).
Bushnell, M. J. 1977 Forces on cylinder arrays in oscillating flow. OTC Paper 2903, Houston, Texas.
Chakrabarti, S. K. 1981 Hydrodynamic coefficients for a vertical tube in an array. Appl. Ocean Res. 3, 2–12.Google Scholar
Chakrabarti, S. K. 1982 Transverse forces on vertical tube array in waves. J. Water, Pt. Coastal Div. ASCE WW1, 108.Google Scholar
Graham, J. M. R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers. J. Fluid Mech. 97, 331–346.Google Scholar
Ikeda, S. & Yamamoto, Y. 1981 Lift force on cylinders in oscillatory flows. Rep. Dept Found. Engng & Const. Engng, Saitama Univ. 10, 1–16.Google Scholar
Karman, T. & Rubach, H. 1912 Über den Mechanismus des Flüssigkeits-und Luftwiderstandes', Phys. Zeitschrift 13, 49–59.Google Scholar
Keulegan, G. H. & Carpenter, L. H. 1958 Forces on cylinders and plates in an oscillating fluid. J. Res. Nat. Bur. Stand. 60.Google Scholar
Laird, A. & Warren, R. 1963 Groups of vertical cylinders oscillating in water. J. Engng Mech. Div., ASCE, EM1, pp. 25–35.Google Scholar
Lighthill, M. J. 1979 Waves and hydrodynamic loading. BOSS Conf., Imperial College, London, pp. 1–38.
Maull, D. J. & Milliner, M. G. 1978 Sinusoidal flow past a circular cylinder, Coast Engng 2, 149–168.Google Scholar
Morrison, J. R., O'Brien, M. P., Johnson, J. W. & Schaaf, S. A. 1950 The forces exerted by surface waves on piles. J. Petrol. Tech. Am. Inst. Mining Engng 189, 149.Google Scholar
Sarpkaya, T. 1976 In-line and transverse forces on smooth and sand-roughened cylinders in oscillatory flow at high Reynolds numbers. Naval Postgraduate School, Monterey, Calif., NP5-69 Sh76062.
Sarpkaya, T. 1980 Hydrodynamic interference of two cylinders in harmonic flow. OTC Paper 3775, Houston, Texas.
Williamson, C. H. K. 1982 Cylinders in unsteady flow. PhD thesis, Dept. of Engineering, University of Cambridge.
Zdravkovich, M. 1977 Interference between two circular cylinders; series of unexpected discontinuities. J. Ind. Aerod. 2, 255–270.Google Scholar