Skip to main content
Log in

Influence of corner radius on the near wake structure of a transversely oscillating square cylinder

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The near wake flow field features of transversely oscillating square section cylinders with different corner radii were studied in an attempt to assess the influence of corner radius. The investigation was performed by using particle image velocimetry (PIV) technique in a water channel with a turbulence intensity of 6.5%. Five models were studied with r/B=0, 0.1, 0.2, 0.3 and 0.5 (r is the corner radius and B is the characteristic dimension of the body), and the body oscillation was limited to lock-in condition (at fe/fo=1.0; fe is the excitation frequency and fo is the vortex shedding frequency from a stationary cylinder at the same Re). The corner radius was found to significantly influence the flow features around the bodies. Except for r/B=0.5, for all the other cases of r/B ratios, cycle-to cycle variation in the mode of vortex shedding was observed in the case of oscillating cylinders inducing highly non-linear wake characteristics. Apart from variation in the shedding mode, changes in shedding cycle timing were also observed for sharp and rounded square cylinders. The hgher the r/B ratio, shedding in the near wake was found to be more uniform (lesser variation in shedding cycle timings). Another admissible shedding mechanism is newly identified to operate in the near wake of oscillating cylinders now being called as the ‘passive shedding’ mechanism. Results indicate that increasing the corner radius suppresses the possible instabilities of the cylinder.

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.

Similar content being viewed by others

References

  1. G. V. Parkinson, Wind induced instability of structures, Phil.Trans.Roy.Soc.Lon. A 269 (1971) 395–409.

    Article  Google Scholar 

  2. K. Washizu, A. Ohya, Y. Otsuki and K. Fuji, Aeroelastic instability of rectangular cylinders in a heaving mode, J.Sound Vib.59 (1978) 195–210.

    Article  Google Scholar 

  3. Y. Nakamura, Bluff-Body Aerodynamics and Turbulence, J.Wind Eng.Ind.Aerodyn. 49 (1993) 65–78.

    Article  Google Scholar 

  4. E. Naudascher, J.R. Weske and B. Fey, Exploratory study on damping of galloping vibrations, J.Wind Eng.Ind.Aerodyn 8 (1981) 211–222.

    Article  Google Scholar 

  5. A. R. Bokaian and F. Geoola, Hydroelastic instabilities of square cylinders, J.Sound Vib. 92 (1984) 117–141.

    Article  Google Scholar 

  6. K. C. S. Kwok, P. A, Wilhelm and B. G. Wilkie, Effect of edge configuration on wind-induced response of a tall building, Eng.Struct. 10 (1988) 135–140.

    Article  Google Scholar 

  7. H. Kawai, Effect of corner modifications on aeroelastic instabilities of tall buildings, J.Wind Eng.Ind.Aerodyn. 74–76 (1998) 719–729.

    Article  Google Scholar 

  8. T. Tamura, T. Miyagi and T. Kitagishi, Numerical prediction of unsteady pressures on a square cylinder with various corner shapes, J.Wind Eng.Ind.Aerodyn. 74–76 (1998) 531–542.

    Article  Google Scholar 

  9. T. Tamura and T. Miyagi, The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes, J.Wind Eng.Ind.Aerodyn 83 (1999) 135–145.

    Article  Google Scholar 

  10. C. Dalton and W. Zheng, Numerical solutions of a viscous uniform approach flow past square and diamond cylinders, J.Fluids Struct. 18 (2003) 455–465.

    Article  Google Scholar 

  11. J. C. Hu, Y. Zhou and C. Dalton, Effects of the corner radius on the near wake of a square prism, Exp Fluid 40 (2006) 106–118.

    Article  Google Scholar 

  12. N. K. Delany and N. E. Sorensen, Low-speed drag of cylinder of various shapes, NACA Technical notes 3038 (1953).

  13. P. W. Bearman, J. M. R. Graham, E. D. Obasaju and G. M. Drossopoulos, The influence of corner radius on the forces experienced by cylindrical bodies in oscillatory flow, Appl.Ocean Res. 6 (1984) 83–89.

    Article  Google Scholar 

  14. W. Zheng and C. Dalton, Numerical prediction of force on rectangular cylinders in oscillating viscous flow, J Fluids Struct 13 (1999) 225–249.

    Article  Google Scholar 

  15. A. Ongoren and D. Rockwell, Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake, J Fluid Mech 191 (1988) 197–223.

    Article  Google Scholar 

  16. S. C. Luo, Vortex wake of a transversely oscillating square cylinder: A flow visualization analysis, J.Wind Eng.Ind.Aerodyn 45 (1992) 97–119.

    Article  Google Scholar 

  17. R. Ajith Kumar and B. H. L. Gowda, Flowinduced vibration of a square cylinder without and with interference, J Fluids Struct 22 (2006) 345–369.

    Article  Google Scholar 

  18. S. Deniz and Th. Staubli, Oscillating rectangular and octagonal profiles: Interaction of leading-and-trailing edge vortex formation, J Fluids Struct 11 (1997) 3–31.

    Article  Google Scholar 

  19. S. Komatsu and H. Kobayashi, Vortex-induced oscillation of bluff cylinders, J.Wind Eng.Ind.Aerodyn 6 (1980) 335–362.

    Article  Google Scholar 

  20. J. H. Gerrard, The mechanics of the formation region of vortices behind bluff bodies, J. Fluid Mech. 25 (1966) 401–413.

    Article  Google Scholar 

  21. O. M. Griffin and S. E. Ramberg, The vortexstreet wakes of vibrating cylinders, J. Fluid Mech. 66 (1974) 553–576.

    Article  Google Scholar 

  22. P. Hemon and F. Santi, On the aeroelastic behavior of rectangular cylinders in cross-flow, J Fluids Struct 16(7) (2002) 855–889.

    Article  Google Scholar 

  23. M. Matsumoto, N. Shiraishi, H. Shirato, S. Stoyanoff and T. Yagi, Mechanism of, and turbulence effect on vortex-induced oscillations for bridge box girders, J.Wind Eng.Ind.Aerodyn 49 (1993) 467–476.

    Article  Google Scholar 

  24. N. Shiraishi and M. Matsumoto, On classification of vortex-induced oscillation and its application for bridge structures, J.Wind Eng.Ind.Aerodyn 14 (1983) 419–430.

    Article  Google Scholar 

  25. K. C. S. Kwok, Effects of turbulence on the pressure distribution around a square cylinder and possibility of reduction, J.Fluids Eng. 105 (1983) 140–145.

    Google Scholar 

  26. Y. Nakamura and Y. Tomonari, Galloping of rectangular prisms in a smooth and in a turbulent flow, J Sound Vib. 52(2) (1977) 233–241.

    Article  Google Scholar 

  27. P. W. Bearman, Vortex shedding from oscillating bluff bodies, Annu. Rev. Fluid Mech. 16 (1984) 195–222.

    Article  Google Scholar 

  28. Y. Nakamura and K. Hirata, Pressure fluctuations on oscillating rectangular cylinders with the long side normal to the flow, J. Fluids Struct. 5 (1991) 165–183.

    Article  Google Scholar 

  29. E. Naudascher and Y. Wang, Flow-induced vibrations of prismatic bodies and grids of prisms, J. Fluids Struct. 7 (1993) 341–373.

    Article  Google Scholar 

  30. A. Laneville and G. V. Parkinson, 1971. Proc. 3rd International Conference on Wind Effects on Buildings & Structures, Saikon, Tokyo, 787–797 (not seen the original; referred in [30]).

  31. Y. Nakamura, Recent research into bluff-body flutter, J.Wind Eng.Ind.Aerodyn 33 (1990) 1–10.

    Article  Google Scholar 

  32. G. V. Parkinson and P. P. Sullivan, Galloping response of towers, J. Ind. Aerodyn 4 (1979) 253–260.

    Article  Google Scholar 

  33. O. M. Griffin and S. E. Ramberg, Vortex shedding from a cylinder vibrating in line with an incident uniform flow, J. Fluid Mech. 75 (1976) 257–271.

    Article  Google Scholar 

  34. A. Laneville and Lu Zhi. Yong, Mean flow patterns around two-dimensional rectangular cylinders and their interpretation, J.Wind Eng.Ind.Aerodyn. 14 (1983) 387–398.

    Article  Google Scholar 

  35. M. A. Wawzonek, Aeroelastic behavior of square section prisms in uniform flow, Thesis of M.A.Sc, The University of British Colombia (1979) (not seen the original; referred in [36]).

  36. Y. Tamura and K. Shimada, A mathematical model for the transverse oscillations of square cylinders, Proc. International Conference on Flow Induced Vibrations, Bowness-on-Windermere, England: 12–14 May, Paper F4, 267–275.

  37. P. W. Bearman, I. S. Gartshore, D. J. Maull and G. V. Parkinson, Experiments on flow-induced vibration of a square section cylinder, J. Fluids Struct. 1 (1987) 19–34.

    Article  Google Scholar 

  38. Y. Nakamura, K. Hirata, K. Kashima, Galloping of a circular cylinder in the presence of a splitter plate, J. Fluids Struct. 8 (1994) 355–365.

    Article  Google Scholar 

  39. I. S. Gartshore, Some effects of upstream turbulence on the unsteady lift forces imposed on prismatic two dimensional bodies, J.Fluids Eng. 106 (1984) 418–424.

    Article  Google Scholar 

  40. A. Torum and N. M. Anand, Free span vibrations of submarine pipelines in steady flows–Effect of free stream turbulence on mean drag coefficients, J.Energy Res Tech. 107 (1985) 415–420.

    Google Scholar 

  41. Z. J. Wang and Y. Zhou, Vortex-induced vibration characteristics of an elastic square cylinder on fixed supports, J Fluids Eng. 127 (2005) 241–249.

    Article  Google Scholar 

  42. H. A. Dwyer and W. J. McCroskey, Oscillating flow over a cylinder at large Reynolds number, J Fluid Mech. 61 (1973) 753–767.

    Article  MATH  Google Scholar 

  43. B. H. L. Gowda and V. Sreedharan, Flow-induced oscillations of a circular cylinder due to interference effects, J. Sound Vib. 176 (1994) 497–514.

    Article  MATH  Google Scholar 

  44. B. H. L. Gowda and R. Ajith Kumar, Flowinduced oscillations of a square cylinder due to interference effects, J. Sound Vib. 297 (2006) 842–864.

    Article  Google Scholar 

  45. P. W. Bearman and E. D. Obasaju, An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders, J Fluid Mech. 119 (1982) 297–321.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chang Hyun Sohn.

Additional information

This paper was recommended for publication in revised form by Associate Editor Kyung-Soo Yang

R. Ajith Kumar holds an M.Tech and PhD degrees from Indian Institute of Technology, Madras. His field of specialization is Flow-Induced Vibrations. He has authored several articles in international journals and conferences. He serves as an editorial board member to an international journal and also as a reviewer to many international journals. He is a full professor to the department of mechanical engineering, Amrita Vishwa Vidyapeetham (Deemed University), India. Currently, on leave, he is pursuing his post-doctoral studies in the department of naval architecture and marine engineering, University of Michigan, Ann Arbor. Prior to this assignment, he was a BK21 post-doctoral scholar at Kyungpook National University, South Korea.

Chang Hyun Sohn received M.Sc. (Eng) and Ph.D. from KAIST. He worked in ADD for 3 years. He studied in Cambridge University as a visiting assistant professor from 1996 to 1997. He is a full professor to the school of mechanical engineering, Kyungpook National University. His research interests are CFD, PIV, Flow Induced Vibration and Thermal-hydraulics in Mechanical Engineering Field.

B. H. Lakshmana Gowda: He received his M.E. (Eng) in 1965 from Indian Institute of Science, Bangalore. He also received his Ph.D. in 1974 from Indian Institute of Technology, Madras. He worked in Indian Institute of Technology, Madras as a professor since 1967. He worked in Kyungpook National University as a visiting professor from 2004. He works in Mechanical Engineering, BTL Institute of Tecnology, Bommasandra, Bangalore since 2008. His research interests are Turbulent Shear Flows, Flow Induced Vibration and Flow Around Three-Dimensional Bluff Bodies.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ajith Kumar, R., Sohn, C.H. & Gowda, B.H.L. Influence of corner radius on the near wake structure of a transversely oscillating square cylinder. J Mech Sci Technol 23, 2390–2416 (2009). https://doi.org/10.1007/s12206-009-0630-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-009-0630-y

Keywords

Navigation