Skip to main content
Log in

Experimental investigation of the suppression of vortex-induced vibration in four cylinders arranged in a square under different spacing ratios

  • Original article
  • Published:
Journal of Marine Science and Technology Aims and scope Submit manuscript

Abstract

A vortex-induced vibration (VIV) is a typical flow-structure interference phenomenon that causes an unsteady flow pattern owing to vortex shedding at or near the structure’s natural frequency, leading to resonant vibrations. VIVs can cause the failure of marine risers owing to premature fatigue, because of which a growing amount of research has attended to them. To investigate the effects of suppressing the VIV of splitter plates on a square array of cylinders under different spacing ratios, cylinders undergoing VIV in a flow with a Reynolds number ranging from 3300 to 6750 were experimentally studied in this paper. The results show that the splitter plate can suppress cross-flow (CF) vibrations as well as in-line flow (IF) vibrations in the cylinders. For cross-flow vibration, the suppression effects of the splitter plate on the upstream cylinders were at their maximum at \(S/D = 5\) while the effects on downstream cylinders reached this at \(S/D = 6\), where \(S/D\) refers to the ratio of the distance between the centers of cylinders to its diameter. For in-line flow vibrations, the effects on upstream and downstream cylinders all reached the maximum at \(S/D = 4\). The vibrational frequency of the cylinder with splitter plate was also lower than that of the bare cylinder in the flow.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

Abbreviations

\(S\) :

Distance between centers of cylinders

\(H\) :

Length of the cylinder

\(L\) :

Length of the splitter plate

\(D\) :

Outer diameter

\(D_{\text{in}}\) :

Inner diameter

\(m^{*}\) :

Mass ratio

\(\zeta\) :

Damping ratio

\(E\) :

Modulus of elasticity

\(V_{\text{r}}\) :

Reduced velocity

A :

Amplitude

\(Re\) :

Reynolds number

References

  1. Vandiver JK (1983) Drag coefficients of long flexible cylinders. In: Proceedings of the offshore technology conference, OTC4490, pp 405–414

  2. Vandiver JK, Chung TY (1988) Predicted and measured response of flexible cylinders in sheared flow. In: Proceedings of the ASME winter annual meeting symposium on flow-induced vibration. Chicago

  3. Roshko A (1955) On the wake and drag of bluff bodies. J Aeronaut Sci 22(2):124–132

    Article  Google Scholar 

  4. Bearman PW (1965) Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates. J Fluid Mech 21(2):241–255

    Article  Google Scholar 

  5. Hwang JY, Yang KS, Sun SH (2003) Reduction of flow-induced forces on a circular cylinder using a detached splitter plate. Phys Fluids 15(8):2433–2436

    Article  Google Scholar 

  6. Assi G, Bearman P, Kitney N (2009) Low drag solutions for suppressing vortex-induced vibration of circular cylinders. J Fluids Struct 25(4):666–675

    Article  Google Scholar 

  7. Stappenbelt B (2010) Splitter-plate wake stabilization and low aspect ratio cylinder flow-induced vibration mitigation. Int J Offshore Polar Eng 20(3):190–195

    Google Scholar 

  8. Gu F, Wang J, Huang Z (2012) Pressure distribution, fluctuating forces and vortex shedding behavior of circular cylinder with rotatable splitter plates. J Fluids Struct 28(1):263–278

    Article  Google Scholar 

  9. Eloranta H, Pärssinen T, Saarenrinne P, Poranen J, Sekki H (2006) On the fluid-structure interaction of a splitter plate: vibration modes and Reynolds number effects. Exp Fluids 41(1):67–77

    Article  Google Scholar 

  10. Liang S, Wang J, Xu B, Wu W, Lin K (2018) Vortex-induced vibration and structure instability for a circular cylinder with flexible splitter plates. J Wind Eng Ind Aerodyn 174:200–209

    Article  Google Scholar 

  11. Huang Y, Deng J, Ren A (2003) Research on lift and drag in unsteady viscous flow around circular cylinders. J Zhejiang Univ (Eng Sci) 37(5):596–601

    Google Scholar 

  12. Zou L, Lin YF, Lu H (2011) Flow patterns and force characteristics of laminar flow past four cylinders in diamond arrangement. J Hydrodyn 23(1):55–64

    Article  Google Scholar 

  13. Lam K, Gong WQ, So RMC (2008) Numerical simulation of cross-flow around four cylinders in an in-line square configuration. J Fluids Struct 24(1):34–57

    Article  Google Scholar 

  14. Lou M, Chen Z, Chen P (2016) Experimental investigation of the suppression of vortex induced vibration of two interfering risers with splitter plates. J Nat Gas Sci Eng 35(A):736–752

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the National Natural Science Foundation of China (Grant 51579245) and the National Key Research and Development Program of China (Grant 2016YFC0303800).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Min Lou.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lou, M., Qian, G. & Li, R. Experimental investigation of the suppression of vortex-induced vibration in four cylinders arranged in a square under different spacing ratios. J Mar Sci Technol 25, 467–481 (2020). https://doi.org/10.1007/s00773-019-00654-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00773-019-00654-z

Keywords

Navigation