Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-07T18:51:25.944Z Has data issue: false hasContentIssue false
  • English
  • Français

On the wake-induced vibration of tandem circular cylinders: the vortex interaction excitation mechanism

Published online by Cambridge University Press:  16 August 2010

G. R. S. ASSI ,
P. W. BEARMAN  and
J. R. MENEGHINI
G. R. S. ASSI*
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2AZ, UK
P. W. BEARMAN
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2AZ, UK
J. R. MENEGHINI
Affiliation:
Department of Mechanical Engineering, NDF, POLI, University of São Paulo, São Paulo, 05508-900, Brazil
*
†Present address: Department of Naval Architecture and Ocean Engineering, NDF, POLI, University of São Paulo, Av. Prof Mello Moraes 2231, 05508-900, São Paulo SP, Brazil. Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The mechanism of wake-induced vibrations (WIV) of a pair of cylinders in a tandem arrangement is investigated by experiments. A typical WIV response is characterized by a build-up of amplitude persisting to high reduced velocities; this is different from a typical vortex-induced vibration (VIV) response, which occurs in a limited resonance range. We suggest that WIV of the downstream cylinder is excited by the unsteady vortex–structure interactions between the body and the upstream wake. Coherent vortices interfering with the downstream cylinder induce fluctuations in the fluid force that are not synchronized with the motion. A favourable phase lag between the displacement and the fluid force guarantees that a positive energy transfer from the flow to the structure sustains the oscillations. If the unsteady vortices are removed from the wake of the upstream body then WIV will not be excited. An experiment performed in a steady shear flow turned out to be central to the understanding of the origin of the fluid forces acting on the downstream cylinder.

JFM classification

Vortex Flows: Vortex Flows Wakes/Jets: Wakes/Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 661 , 25 October 2010 , pp. 365 - 401
Copyright
Copyright © Cambridge University Press 2010

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

Alam, M. M., Moriya, M., Takai, K. & Sakamoto, H. 2003 Fluctuating fluid forces acting on two circular cylinders in tandem arrangement at a subcritical Reynolds number. J. Wind Engng Ind. Aerodyn. 91, 139–154.CrossRefGoogle Scholar
Assi, G. R. S. 2005 Experimental study of the flow interference effect around aligned cylinders. Master's thesis, University of São Paulo, São Paulo, Brazil (in Portuguese). Available at: www.ndf.poli.usp.br/~gassi.Google Scholar
Assi, G. R. S. 2009 Mechanisms for flow-induced vibration of interfering bluff bodies. PhD thesis, Imperial College London, London, UK. Available at: www.ndf.poli.usp.br/~gassi.Google Scholar
Assi, G. R. S., Meneghini, J. R., Aranha, J. A. P., Bearman, P. W. & Casaprima, E. 2006 Experimental investigation of flow-induced vibration interference between two circular cylinders. J. Fluids Struct. 22, 819–827.CrossRefGoogle Scholar
Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16, 195–222.CrossRefGoogle Scholar
Best, M. S. & Cook, N. J. 1967 The forces on a circular cylinder in a shear flow. Tech. Rep. 103. Aeronautical Engineering Department, University of Bristol.Google Scholar
Blevins, R. D. 1990 Flow-Induced Vibration, 2nd edn.Van Nostrand Reinhold.Google Scholar
Bokaian, A. & Geoola, F. 1984 Wake-induced galloping of two interfering circular cylinders. J. Fluid Mech. 146, 383–415.CrossRefGoogle Scholar
Brankovic, M. 2004 Vortex-induced vibration attenuation of circular cylinders with low mass and damping. PhD thesis, Imperial College, London, UK.Google Scholar
Brika, D. & Laneville, A. 1999 The flow interaction between a stationary cylinder and a downstream flexible cylinder. J. Fluids Struct. 13, 579–606.CrossRefGoogle Scholar
Carmo, B. S., Meneghini, J. R. & Sherwin, S. J. 2010 a Possible states in the flow around two circular cylinders in tandem with separations in the vicinity of the drag inversion spacing. Phys. Fluids 22, 054101.CrossRefGoogle Scholar
Carmo, B. S., Meneghini, J. R. & Sherwin, S. J. 2010 b Secondary instabilities in the flow around two circular cylinders in tandem. J. Fluid Mech. 644, 395–431.CrossRefGoogle Scholar
Chen, S. S. 1986 A review of flow-induced vibration of two circular cylinders in crossflow. J. Pressure Vessel Tech. 108, 382–393.CrossRefGoogle Scholar
Granger, S. & Paidoussis, M. P. 1996 An improvement to the quasi-steady model with application to cross-flow-induced vibration of tube arrays. J. Fluid Mech. 320, 163–184.CrossRefGoogle Scholar
Hahn, S. L. 1996 Hilbert Transforms in Signal Processing. Artech House.Google Scholar
den Hartog, J. P. 1956 Mechanical Vibrations, 4th edn.McGraw-Hill.Google Scholar
Hover, F. S. & Triantafyllou, M. S. 2001 Galloping response of a cylinder with upstream wake interference. J. Fluids Struct. 15, 503–512.CrossRefGoogle Scholar
Igarashi, T. 1981 Characteristics of the flow around two circular cylinders arranged in tandem. Bull. JSME – Japan Soc. Mech. Engng 24, 323–331.CrossRefGoogle Scholar
Jester, W. & Kallinderis, Y. 2003 Numerical study of incompressible flow about fixed cylinder pairs. J. Fluids Struct. 17, 561–577.CrossRefGoogle Scholar
Khalak, A. & Williamson, C. H. K. 1997 Investigation of relative effects of mass and damping in vortex-induced vibration of a circular cylinder. J. Wind Engng. Ind. Aerodyn. 69–71, 341–350.CrossRefGoogle Scholar
Khalak, A. & Williamson, C. H. K. 1999 Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J. Fluids Struct. 13, 813–851.CrossRefGoogle Scholar
King, R. & Johns, D. J. 1976 Wake interaction experiments with two flexible circular cylinders in flowing water. J. Sound Vib. 45, 259–283.CrossRefGoogle Scholar
Lin, J. C., Towfighi, J. & Rockwell, D. 1995 Instantaneous structure of the near-wake of a circular cylinder: on the effect of Reynolds number. J. Fluids Struct. 9, 409–418.CrossRefGoogle Scholar
Lin, J. C., Yang, Y. & Rockwell, D. 2002 Flow past two cylinders in tandem: instantaneous and average flow structure. J. Fluids Struct. 16, 1059–1071.CrossRefGoogle Scholar
Liu, C. H. & Chen, J. M. 2002 Observations of hysteresis in flow around two square cylinders in a tandem arrangement. J. Wind Engng Ind. Aerodyn. 90, 1019–1050.CrossRefGoogle Scholar
Ljungkrona, L., Norberg, C. & Sunden, B. 1991 Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement. J. Fluids Struct. 5, 701–727.CrossRefGoogle Scholar
Maekawa, T. 1964 Study on wind pressure against ACSR double conductor. Electr. Engng Japan 84, 21–28.Google Scholar
Mair, W. A. & Maull, D. J. 1971 Aerodynamic behaviour of bodies in the wakes of other bodies. Phil. Trans. R. Soc. A 269, 425–437.Google Scholar
Norberg, C. 1998 LDV-measurements in the near wake of a circular cylinder. In Advances in Understanding of Bluff Body Wakes and Flow-Induced Vibration (ed. Williamson, C. H. K. & Bearman, P. W.), pp. 1–12. ASME.Google Scholar
Norberg, C. & Sunden, B. 1987 Turbulence and Reynolds number effects on the flow and fluid forces on a single tube in cross-flow. J. Fluids Struct. 1, 337–357.CrossRefGoogle Scholar
Paidoussis, M. P., Mavriplis, D. & Price, S. J. 1984 A potential-flow theory for the dynamics of cylinder arrays in cross-flow. J. Fluid Mech. 146, 227–252.CrossRefGoogle Scholar
Paidoussis, M. P. & Price, S. J. 1988 The mechanisms underlying flow-induced instabilities of cylinder arrays in crossflow. J. Fluid Mech. 187, 45–59.CrossRefGoogle Scholar
Papaioannou, G., Yue, D. K. P, Triantafyllou, M. S. & Karniadakis, G. E. 2006 Three-dimensionality effects in flow around two tandem cylinders. J. Fluid Mech. 558, 387–413.CrossRefGoogle Scholar
Parkinson, G. V. 1971 Wind-induced instability of structures. Phil. Trans. R. Soc. Lond. 269, 395–413.Google Scholar
Parkinson, G. V. 1989 Phenomena and modelling of flow-induced vibrations of bluff bodies. Prog. Aerosp. Sci. 26, 169–224.CrossRefGoogle Scholar
Price, S. J. 1976 The origin and nature of the lift force on the leeward of two bluff bodies. Aeronaut. Q. 26, 1154–1168.Google Scholar
Price, S. J. 1984 An improved mathematical model for the stability of cylinder rows subject to cross-flow. J. Sound Vib. 97, 615–640.CrossRefGoogle Scholar
Sarpkaya, T. 1979 Vortex-induced oscillations: a selective review. J. Appl. Mech. 46, 241–258.CrossRefGoogle Scholar
Sarpkaya, T. 2004 A critical review of the intrinsic nature of vortex-induced vibrations. J. Fluids Struct. 19, 389–447.CrossRefGoogle Scholar
Sumner, D., Price, S. J. & Paidoussis, M. P. 2000 Flow-pattern identification for two staggered circular cylinders in cross-flow. J. Fluid Mech. 411, 263–303.CrossRefGoogle Scholar
Wardlaw, R. L. & Watts, J. A. 1974 Wind-tunnel and analytical investigations into the aeroelastic behaviour of bundled conductors. In IEEE Power Engineering Society Summer Meeting, Anahein, CA.Google Scholar
Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413–455.CrossRefGoogle Scholar
Zdravkovich, M. M. 1974 Flow-induced vibrations of two cylinders in tandem and their suppression. In International Symposium of Flow Induced Structural Vibrations (ed. Naudascher, E.), pp. 631–639. Springer, Berlin.CrossRefGoogle Scholar
Zdravkovich, M. M. 1977 Review of flow interference between two circular cylinders in various arrangements. J. Fluids Engng pp. 618–633.CrossRefGoogle Scholar
Zdravkovich, M. M. 1985 Flow induced oscillations of two interfering circular cylinders. J. Sound Vib. 101, 511–521.CrossRefGoogle Scholar
Zdravkovich, M. M. 1986 Discussion: effect of vibrating upstream cylinder of two circular cylinders in tandem arrangement. J. Fluids Engng 108 (3), 383–384.CrossRefGoogle Scholar
Zdravkovich, M. M. 1988 Review of interference-induced oscillations in flow past two circular cylinders in various arrangements. J. Wind Engng Ind. Aerodyn. 28, 183–200.CrossRefGoogle Scholar
Zdravkovich, M. M. & Medeiros, E. B. 1991 Effect of damping on interference-induced oscillations of two identical circular cylinders. J. Wind Engng Ind. Aerodyn. 38, 197–211.CrossRefGoogle Scholar