Skip to main content Accessibility help
×
×
Home

Intermittency in free vibration of a cylinder beyond the laminar regime

  • Sanjay Mittal (a1)

Abstract

Vortex-induced vibration of a circular cylinder that is free to move in the transverse ( $Y$ ) and streamwise ( $X$ ) directions is investigated at subcritical Reynolds numbers ( $1500\lesssim Re\lesssim 9000$ ) via three-dimensional (3-D) numerical simulations. The mass ratio of the system for all the simulations is $m^{\ast }=10$ . It is observed that while some of the characteristics associated with the $XY$ -oscillation are similar to those of the $Y$ -only oscillation (in line with the observations made by Jauvtis & Williamson (J. Fluid Mech., vol. 509, 2004, pp. 23–62)), notable differences exist between the two systems with respect to the transition between the branches of the cylinder response in the lock-in regime. The flow regime between the initial and lower branch is characterized by intermittent switching in the cylinder response, aerodynamic coefficients and modes of vortex shedding. Similar to the regime of laminar flow, the system exhibits a hysteretic response near the lower- and higher- $Re$ end of the lock-in regime. The frequency spectrum of time history of the cylinder response shows that the most dominant frequency in the streamwise oscillation on the initial branch is the same as that of the transverse oscillation.

Copyright

Corresponding author

Email address for correspondence: smittal@iitk.ac.in

References

Hide All
Bearman, P. W. 2011 Circular cylinder wakes and vortex-induced vibrations. J. Fluids Struct. 27, 648658.10.1016/j.jfluidstructs.2011.03.021
Blackburn, H. M., Marques, F. & Lopez, J. M. 2005 Symmetry breaking of two-dimensional time-periodic wakes. J. Fluid Mech. 522, 395411.
Bourguet, R. & Lo Jacono, D. 2015 In-line flow-induced vibrations of a rotating cylinder. J. Fluid Mech. 781, 127165.
Govardhan, R. & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech. 420, 85130.
Govardhan, R. & Williamson, C. H. K. 2002 Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration. J. Fluid Mech. 473, 147166.
Govardhan, R. & 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, 147180.
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, 2362.
Khalak, A. & Williamson, C. H. K. 1999 Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J. Fluids Struct. 13 (7), 813851.10.1006/jfls.1999.0236
Lighthill, J. 1986 Wave loading on offshore structures. J. Fluid Mech. 173, 667681.
Navrose & Mittal, S. 2013 Free vibrations of a cylinder: 3-D computations at Re = 1000. J. Fluids Struct. 41, 109118.10.1016/j.jfluidstructs.2013.02.017
Navrose & Mittal, S. 2017 The critical mass phenomenon in vortex-induced vibration at low Re . J. Fluid Mech. 820, 159186.
Navrose, Yogeswaran, V., Sen, S. & Mittal, S. 2014 Free vibrations of an elliptic cylinder at low Reynolds numbers. J. Fluids Struct. 51, 5567.10.1016/j.jfluidstructs.2014.07.012
Prasanth, T. K. & Mittal, S. 2008 Vortex-induced vibrations of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 594, 463491.
Ryan, K. C., Thompson, M. C. & Hourigan, K. 2005 Variation in the critical mass ratio of a freely oscillating cylinder as a function of Reynolds number. Phys. Fluids 17 (3), 038106.
Sarpkaya, T. 2004 A critical review of the intrinsic nature of vortex-induced vibrations. J. Fluids Struct. 19, 389447.10.1016/j.jfluidstructs.2004.02.005
Singh, S. P. & Mittal, S. 2005 Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes. J. Fluids Struct. 20 (8), 10851104.
Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413455.
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2 (4), 355381.
Zhao, J., Leontini, J. S., Lo Jacono, D. & Sheridan, J. 2014 Chaotic vortex induced vibrations. Phys. Fluids 26 (12), 121702.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

JFM classification

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed