0
Research Papers: Ocean Engineering

Hydroelasticity of Four Flexible Cylinders in Square Arrangement Subjected to Uniform Cross-Flow

[+] Author and Article Information
Bijan Sanaati

e-mail: sanaaty1@yahoo.com

Naomi Kato

e-mail: kato@naoe.eng.osaka-u.ac.jp
Department of Naval Architecture and Ocean Engineering,
Osaka University,
2-1 Yamadaoka,
Suita, Osaka, Japan

Contributed by the Ocean Offshore and Arctic Engineering Division of ASME for publication in the Journal of Offshore Mechanics and Arctic Engineering. Manuscript received March 27, 2012; final manuscript received August 29, 2012; published online February 25, 2013. Assoc. Editor: R. Cengiz Ertekin.

J. Offshore Mech. Arct. Eng 135(2), 021103 (Feb 25, 2013) (9 pages) Paper No: OMAE-12-1031; doi: 10.1115/1.4007596 History: Received March 27, 2012; Revised August 29, 2012

Groups of cylinders can be found in many engineering fields such as marine and civil applications. The behavior of the group cylinders can be very complex because it undergoes the mutual effects of adjacent cylinders arranged in different positions. In this paper, the results of a study on the dynamics of a group of flexible cylinders in square arrangements along with a single (isolated) cylinder subjected to uniform cross-flow (CF) are presented. Four flexible cylinders of the same size, properties, and pretensions were tested in two configurations with different center-to-center separations. Reynolds number ranged from 1400 to 20,000 (subcritical regime).The parameter of reduced velocity reached up to 19. The aspect ratio of all the cylinders was 162 (length/diameter). Mass ratio (cylinders mass/displaced water) was 1.17. The amplitude ratio of the CF vibration of the downstream cylinders, hydrodynamic force coefficients including mean and fluctuating components of the drag and lift forces, tension variation of the downstream cylinder, and frequency responses in both CF and inline (IL) directions were analyzed. All the cylinders excited up to the second and fourth mode of vibrations for CF and IL directions, respectively. Mean drag coefficient of the upstream cylinders are almost twice those of the downstream cylinders. The mean lift coefficient is much higher for the upstream cylinders than the downstream cylinders with different positive and negative signs. The IL and CF frequencies of the downstream cylinders are lower than those of the upstream ones and the single cylinder.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Zdravkovich, M. M., 1988, “Review of Interference-Induced Oscillations in Flow Past Two Circular Cylinders in Various Arrangements,” J. Wind. Eng. Ind. Aerodyn., 38, pp. 197–211. [CrossRef]
Sumner, D., 2010, “Two Circular Cylinders in Cross-Flow: A Review,” J. Fluid Struct., 26, pp. 849–899. [CrossRef]
Huera-Huarte, F. J., and Bearman, P. W., 2011, “Vortex and Wake-Induced Vibrations of a Tandem Arrangement of Two Flexible Circular Cylinders With Near Wake Interference,” J. Fluids Struct., 27, pp. 193–211. [CrossRef]
Huera-Huarte, F. J., and Gharib, M., 2011, “Vortex- and Wake-Induced Vibrations of a Tandem Arrangement of Two Flexible Circular Cylinders With Far Wake Interference,” J. Fluids Struct., 27, pp. 824–828. [CrossRef]
Huera-Huarte, F. J., and Gharib, M., 2011, “Flow-Induced Vibrations of a Side-By-Side Arrangement of Two Flexible Circular Cylinders,” J. Fluids Struct., 27, pp. 354–366. [CrossRef]
Bearman, P. W., and Wadcock, A. J., 1973, “The Interaction Between a Pair of Circular Cylinders Normal to a Stream,” J. Fluid Mech., 61, pp. 499–511. [CrossRef]
Assi, G. R. S., 2009, “Mechanisms for Flow-Induced Vibration of Interfering Bluff Bodies,” Ph.D. thesis, Imperial College, London.
Kevlahan, N. K.-R., 2011, “The Role of Vortex Wake Dynamics in the Flow-Induced Vibration of Tube Arrays,” J. Fluid Mech., 27, pp. 829–837. [CrossRef]
Lam, K., Gong, W. Q., and So, R. M. C., 2008, “Numerical Simulation of Cross-Flow Around Four Cylinders in an In-Line Square Configuration,” J. Fluid Mech., 24, pp. 34–57. [CrossRef]
Lam, K., and Zou, L., 2010, “Three-Dimensional Numerical Simulation of Cross-Flow Around Four Cylinders in an In-Line Square Configuration,” J. Fluid Mech., 26, pp. 482–502. [CrossRef]
Anagnostopoulos, P., Dikarou, C., and Seitanis, S. A., 2011, “Numerical Study of Oscillatory Flow Past Four Cylinders in Square Arrangement for Pitch Ratio Equal to 4,” Proceedings of the ASME 30th International Conference on Ocean, Offshore and Arctic Engineering, Rotterdam, The Netherlands, June 19–24, Paper No. OMAE2011-49578. [CrossRef]
Lam, K., and Lo, S. C., 1992, “A Visualization Study of Cross-Flow Around Four Cylinders in a Square Configuration,” J. Fluids Struct., 6, pp. 109–131. [CrossRef]
Lee, L., and Allen, D., 2010, “Vibration Frequency and Lock-In Bandwidth of Tensioned, Flexible Cylinders Experiencing Vortex Shedding,” J. Fluids Struct., 26, pp. 602–610. [CrossRef]
Xu, G., and Zhou, Y., 2004, “Strouhal Numbers in the Wake of Two Inline Cylinders,” Exp. Fluids, 37, pp. 248–256. [CrossRef]
Zhou, Y., and Yiu, M. W., 2006, “Flow Structure, Momentum and Heat Transport in a Two-Tandem-Cylinder Wake,” J. Fluid Mech., 548, pp. 17–48. [CrossRef]
Bokaian, A., and Geoola, F., 1984, “Wake-Induced Galloping of Two Interfering Circular Cylinders,” J. Fluid Mech., 146, pp. 383–415. [CrossRef]
Hover, F. S., and Triantafyllou, M. S., 2001, “Galloping Response of a Cylinder With Upstream Wake Interference,” J. Fluids Struct., 15, pp. 503–512. [CrossRef]
Assi, G. R. S., Bearman, P. W., and Meneghini, J. R., 2010, “On the Wake-Induced Vibration of Tandem Circular Cylinders: The Vortex Interaction Excitation Mechanism,” J. Fluid Mech., 661, pp. 365–401. [CrossRef]
Khalak, A., and Williamson, C. H. K., 1999, “Motions, Forces and Mode Transitions in Vortex-Induced Vibrations at Low Mass-Damping,” J. Fluids Struct., 13, pp. 813–851. [CrossRef]
Sarpkaya, T., 1995, “Hydrodynamic Damping, Flow-Induced Oscillations, and Biharmonic Response,” ASME J. Offshore Mech. Arct. Eng., 117, pp. 232–238. [CrossRef]
Chaplin, J. R., Bearman, P. W., Huera-Huarte, F. J., and Pattenden, R. J., 2005, “Laboratory Measurements of Vortex-Induced Vibrations of a Vertical Tension Riser in a Stepped Current,” J. Fluids Struct., 21, pp. 3–24. [CrossRef]
Huang, S., Khorasanchi, M., and Herfjord, K., 2011, “Drag Amplification of Long Flexible Riser Models Undergoing Multi-Mode VIV in Uniform Currents,” J. Fluids Struct., 27, pp. 342–353. [CrossRef]
Alam, M. M., Moriya, M., Takai, K., and Sakamoto, H., 2003, “Fluctuating Fluid Forces Acting on Two Circular Cylinders in a Tandem Arrangement at a Subcritical Reynolds Number,” J. Wind. Eng. Ind. Aerodyn., 91, pp. 139–154. [CrossRef]
Alam, M. M., Moriya, M., and Sakamoto, H., 2003, “Aerodynamic Characteristics of Two Side-By-Side Circular Cylinders and Application of Wavelet Analysis on the Switching Phenomenon,” J. Fluids Struct., 18, pp. 325–346. [CrossRef]
Bearman, P. W., 2011, “Circular Cylinder Wakes and Vortex-Induced Vibrations,” J. Fluids Struct., 27, pp. 648–658. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

A schematic of the test model setup

Grahic Jump Location
Fig. 2

Four flexible cylinders in square arrangements: (a) the 1G configuration; (b) the 2G configuration

Grahic Jump Location
Fig. 3

The vibration amplitude ratio (A*std) versus reduced velocity (Ur) for four group cylinders along with a single cylinder

Grahic Jump Location
Fig. 4

The IL and CF frequency responses of the four multiple and single cylinders for the 1G configuration

Grahic Jump Location
Fig. 5

The IL and CF frequency responses of four multiple and single cylinders for the 2G configuration

Grahic Jump Location
Fig. 6

The hydrodynamic force coefficients of four multiple cylinders and single cylinder for the 1G configuration: (a) mean drag coefficient; (b) fluctuating drag coefficient; (c) mean lift coefficient; (d) fluctuating lift coefficient

Grahic Jump Location
Fig. 7

The hydrodynamic force coefficients of four multiple cylinders and single cylinder for the 2G configuration: (a) mean drag coefficient; (b) fluctuating drag coefficient; (c) mean lift coefficient; (d) fluctuating lift coefficient

Grahic Jump Location
Fig. 8

Mean tension increased value (Tmean) of the downstream cylinder (P1) at the 1G and 2G cases along with that of the single cylinder

Grahic Jump Location
Fig. 9

Fluctuating tension increased value (Tstd) of the P1cylinder at the 1G and 2G configurations along with the single cylinder

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In