Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-25T01:49:38.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Free vibrations of two tandem elastically mounted cylinders in crossflow

Published online by Cambridge University Press:  21 December 2018

Bin Qin Open the ORCID record for Bin Qin [Opens in a new window] ,
Md. Mahbub Alam Open the ORCID record for Md. Mahbub Alam [Opens in a new window]  and
Yu Zhou
Bin Qin
Affiliation:
Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology, Shenzhen, China Digital Engineering Laboratory of Offshore Equipment, Shenzhen, China
Md. Mahbub Alam*
Affiliation:
Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology, Shenzhen, China Digital Engineering Laboratory of Offshore Equipment, Shenzhen, China
Yu Zhou
Affiliation:
Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology, Shenzhen, China Digital Engineering Laboratory of Offshore Equipment, Shenzhen, China
*
†Email addresses for correspondence: alam@hit.edu.cn, alamm28@yahoo.com
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper presents an experimental investigation on the flow-induced vibrations of two tandem circular cylinders for spacing ratio $L/D=1.2{-}6.0$ and reduced velocity $U_{r}=3.8{-}47.8$, where $L$ is the cylinder centre-to-centre spacing and $D$ is the cylinder diameter. Both cylinders are allowed to vibrate only laterally. Extensive measurements are conducted to capture the cylinder vibration and frequency responses, surface pressures, shedding frequencies and flow fields using laser vibrometer, hotwire, pressure scanner and PIV techniques. Four vibration regimes are identified based on the characteristics and generation mechanisms of the cylinder galloping vibrations. Several findings are made on the mechanisms of vibration generation and sustainability. First, the initial states (vibrating or fixed) of a cylinder may have a pronounced impact on the vibration of the other. Second, alternating reattachment, detachment, rolling up and shedding of the upper and lower gap shear layers all contribute to the vibrations. Third, the gap vortices around the base surface of the upstream cylinder produce positive work on the cylinder, sustaining the upstream cylinder vibration. Fourth, reattachment, detachment and switching of the gap shear layers result in largely positive work on the downstream cylinder, playing an important role in sustaining its vibration.

JFM classification

Vortex Flows: Vortex interactions Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 861 , 25 February 2019 , pp. 349 - 381
Copyright
© 2018 Cambridge University Press 

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

Alam, M. M. 2014 The aerodynamics of a cylinder submerged in the wake of another. J. Fluids Struct. 51, 393–400.Google Scholar
Alam, M. M. 2016 Lift forces induced by phase lag between the vortex sheddings from two tandem bluff bodies. J. Fluids Struct. 65, 217–237.Google Scholar
Alam, M. M. & Meyer, J. P. 2013 Global aerodynamic instability of twin cylinders in cross flow. J. Fluids Struct. 41, 135–145.Google Scholar
Alam, M. M., Moriya, M., Takai, K. & Sakamoto, H. 2003 Fluctuating fluid forces acting on two circular cylinders in a tandem arrangement at a subcritical Reynolds number. J. Wind Engng Ind. Aerodyn. 91 (1–2), 139–154.Google Scholar
Alam, M. M. & Sakamoto, H. 2005 Investigation of Strouhal frequencies of two staggered bluff bodies and detection of multistable flow by wavelets. J. Fluids Struct. 20, 425–449.Google Scholar
Alam, M. M. & Zhou, Y. 2007 Phase lag between vortex shedding from two tandem bluff bodies. J. Fluids Struct. 23 (2), 339–347.Google Scholar
Arie, M., Kiya, M., Moriya, M. & Mori, H. 1983 Pressure fluctuations on the surface of two circular cylinders in tandem arrangement. Trans. ASME J. Fluids Engng 105 (2), 161–166.Google Scholar
Assi, G. R. S., Bearman, P. W., Carmo, B. S., Meneghini, J. R., Sherwin, S. J. & Willden, R. H. J. 2013 The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair. J. Fluid Mech. 718, 210–245.Google Scholar
Assi, G. R. S., Bearman, P. W. & Meneghini, J. R. 2010 On the wake-induced vibration of tandem circular cylinders: the vortex interaction excitation mechanism. J. Fluid Mech. 661, 365–401.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 (6), 819–827.Google Scholar
Bearman, P. W., Gartshore, I. S., Maull, D. J. & Parkinson, G. V. 1987 Experiments on flow-induced vibration of a square-section cylinder. J. Fluids Struct. 1 (1), 19–34.Google Scholar
Bokaian, A. & Geoola, F. 1984a Wake-induced galloping of two interfering circular cylinders. J. Fluid Mech. 146, 383–415.Google Scholar
Bokaian, A. & Geoola, F. 1984b Proximity-induced galloping of two interfering circular cylinders. J. Fluid Mech. 146, 417–449.Google Scholar
Borazjani, I. & Sotiropoulos, F. 2009 Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity–wake interference region. J. Fluid Mech. 621, 321–364.Google Scholar
Brika, D. & Laneville, A. 1993 Vortex-induced vibrations of a long flexible circular cylinder. J. Fluid Mech. 250, 481–508.Google Scholar
Brika, D. & Laneville, A. 1997 Wake interference between two circular cylinders. J. Wind Engng Ind. Aerodyn. 72, 61–70.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.Google Scholar
Carmo, B. S., Meneghini, J. R. & Sherwin, S. J. 2010 Secondary instabilities in the flow around two circular cylinders in tandem. J. Fluid Mech. 644, 395–431.Google Scholar
Carmo, B. S., Sherwin, S. J., Bearman, P. W. & Willden, R. H. J. 2011 Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number. J. Fluids Struct. 27 (4), 503–522.Google Scholar
Cooper, K. R. & Wardlaw, R. L. 1971 Aeroelastic instabilities in wakes. In Proceedings of the 3rd International Conferences on Wind Effects on Buildings and Structures, Tokyo, pp. 647–655.Google Scholar
Couder, Y. & Basdevant, C. 1986 Experimental and numerical study of vortex couples in two-dimensional flows. J. Fluid Mech. 173, 225–251.Google Scholar
Feng, C. C.1968 The measurements of vortex-induced effects in flow past a stationary and oscillating circular and D-section cylinders. Master’s thesis, University of British Columbia, Vancouver, Canada.Google Scholar
Govardhan, R. & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech. 420, 85–130.Google Scholar
Govardhan, R. N. & Williamson, C. H. K. 2006 Defining the ‘modified Griffin plot’ in vortex-induced vibration: revealing the effect of Reynolds number using controlled damping. J. Fluid Mech. 561, 147–180.Google Scholar
Griffith, M. D., Jacono, D. L., Sheridan, J. & Leontini, J. S. 2017 Flow-induced vibration of two cylinders in tandem and staggered arrangements. J. Fluid Mech. 833, 98–130.Google Scholar
Hover, F. S. & Triantafyllou, M. S. 2001 Galloping response of a cylinder with upstream wake interference. J. Fluids Struct. 15, 503–512.Google Scholar
Huera-Huarte, F. J. & 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 (2), 193–211.Google Scholar
Huera-Huarte, F. J. & 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 (5), 824–828.Google Scholar
Igarashi, T. 1981 Characteristics of the flow around two circular cylinders arranged in tandem: 1st report. Bull. JSME 24 (188), 323–331.Google Scholar
Igarashi, T. 1984 Characteristics of the flow around two circular cylinders arranged in tandem: 2nd report, unique phenomenon at small spacing. Bull. JSME 27 (233), 2380–2387.Google Scholar
Jauvtis, N. & Williamson, C. H. K. 2004 The effect of two degrees of freedom on vortex-induced vibration at low mass and damping. J. Fluid Mech. 509, 23–62.Google Scholar
Jester, W. & Kallinderis, Y. 2003 Numerical study of incompressible flow about fixed cylinder pairs. J. Fluids Struct. 17, 561–577.Google Scholar
Khalak, A. & Williamson, C. H. 1997 Investigation of relative effects of mass and damping in vortex-induced vibration of a circular cylinder. J. Wind Engng Ind. Aerodyn. 69, 341–350.Google Scholar
Kim, S., Alam, M. M., Sakamoto, H. & Zhou, Y. 2009 Flow-induced vibrations of two circular cylinders in tandem arrangement. Part 1. Characteristics of vibration. J. Wind Engng Ind. Aerodyn. 97, 304–311.Google Scholar
King, R. & Johns, D. J. 1976 Wake interaction experiments with two flexible circular cylinders in flowing water. J. Sound Vib. 45, 259–283.Google Scholar
Laneville, A. & Brika, D. 1999 The fluid and mechanical coupling between two circular cylinders in tandem arrangement. J. Fluids Struct. 13, 967–986.Google Scholar
Lin, C. & Hsieh, S. C. 2003 Convection velocity of vortex structures in the near wake of a circular cylinder. J. Engng Mech. 129 (10), 1108–1118.Google Scholar
Lin, J. C., Yang, Y. & Rockwell, D. 2002 Flow past two cylinders in tandem: instantaneous and averaged flow structure. J. Fluids Struct. 16 (8), 1059–1071.Google Scholar
Ljungkrona, L., Norberg, C. H. & 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 (6), 701–727.Google Scholar
Mittal, S. & Kumar, V. 2001 Flow-induced oscillations of two cylinders in tandem and staggered arrangements. J. Fluids Struct. 15 (5), 717–736.Google Scholar
Nishimura, H. & Taniike, Y. 2001 Aerodynamic characteristics of fluctuating forces on a circular cylinder. J. Wind Engng Ind. Aerodyn. 89 (7), 713–723.Google Scholar
Oviedo-Tolentino, F., Perez-Gutierrez, F. G., Romero-Mendez, R. & Hernandez-Guerrero, A. 2014 Vortex-induced vibration of a bottom fixed flexible cylinder beam. Ocean Engng 88, 463–471.Google Scholar
Papaioannou, G. V., Yue, D. K. P., Triantafyllou, M. S. & Karniadakis, G. E. 2008 On the effect of spacing on the vortex-induced vibrations of two tandem cylinders. J. Fluids Struct. 24 (6), 833–854.Google Scholar
Prasanth, T. K. & Mittal, S. 2009a Flow-induced oscillation of two circular cylinders in tandem arrangement at low Re . J. Fluids Struct. 25 (6), 1029–1048.Google Scholar
Prasanth, T. K. & Mittal, S. 2009b Vortex-induced vibration of two circular cylinders at low Reynolds number. J. Fluids Struct. 25 (4), 731–741.Google Scholar
Prasanth, T. K., Premchandran, V. & Mittal, S. 2011 Hysteresis in vortex-induced vibrations: critical blockage and effect of m ∗ . J. Fluid Mech. 671, 207–225.Google Scholar
Qin, B., Alam, M. M. & Zhou, Y. 2017 Two tandem cylinders of different diameters in crossflow: flow-induced vibration. J. Fluid Mech. 829, 621–658.Google Scholar
Ruscheweyh, H. & Dielen, B. 1992 Interference galloping-investigations concerning the phase lag of the flow switching. J. Wind Engng Ind. Aerodyn. 43 (1–3), 2047–2056.Google Scholar
Singh, S. P. & Mittal, S. 2005 Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes. J. Fluids Struct. 20 (8), 1085–1104.Google Scholar
Sumner, D. 2010 Two circular cylinders in cross-flow: a review. J. Fluids Struct. 26 (6), 849–899.Google Scholar
Tu, J., Zhou, D., Bao, Y., Ma, J., Lu, J. & Han, Z. 2015 Flow-induced vibrations of two circular cylinders in tandem with shear flow at low Reynolds number. J. Fluids Struct. 59, 224–251.Google Scholar
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355–381.Google Scholar
Xu, G. & Zhou, Y. 2004 Strouhal numbers in the wake of two inline cylinders. Exp. Fluids 37, 248–256.Google Scholar
Zdravkovich, M. M. 1985 Flow-induced oscillations of two interfering circular cylinders. J. Sound Vib. 101, 511–521.Google Scholar
Zdravkovich, M. M. 1988 Review of interference-induced oscillations in flow past two parallel circular cylinders in various arrangements. J. Wind Engng Ind. Aerodyn. 28 (1–3), 183–199.Google Scholar
Zhou, Y. & Alam, M. M. 2016 Wake of two interacting circular cylinders: a review. Intl J. Heat Fluid Flow 62, 510–537.Google Scholar
Zhou, Y., Feng, S. X., Alam, M. M. & Bai, H. L. 2009 Reynolds number effect on the wake of two staggered cylinders. Phys. Fluids 21, 125105.Google Scholar
Zhu, H., Lin, P. & Yao, J. 2016 An experimental investigation of vortex-induced vibration of a curved flexible pipe in shear flow. Ocean Engng 121, 62–75.Google Scholar
Zhou, Y., Wang, Z. J., So, R. M. C., Xu, S. J. & Jin, W. 2001 Free vibrations of two side-by-side cylinders in a cross flow. J. Fluid Mech. 443, 197–229.Google Scholar
Zhou, Y. & Yiu, M. W. 2006 Flow structure, momentum and heat transport in a two-tandem-cylinder wake. J. Fluid Mech. 548, 17–48.Google Scholar