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Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers

Published online by Cambridge University Press:  05 January 2010

J. M. DAHL ,
F. S. HOVER ,
M. S. TRIANTAFYLLOU  and
O. H. OAKLEY
J. M. DAHL*
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
F. S. HOVER
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
M. S. TRIANTAFYLLOU
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
O. H. OAKLEY
Affiliation:
Chevron Energy Technology Company, 6001 Bollinger Canyon Road, Rm. L-4228, San Ramon, CA 94583, USA
*
†Present address: Singapore–MIT Alliance for Research and Technology Centre, S16-05-08 3 Science Drive 2, Singapore117543. Email address for correspondence: jdahl@smart.mit.edu
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Abstract

An experimental study is performed on the vortex induced vibrations of a rigid flexibly mounted circular cylinder placed in a crossflow. The cylinder is allowed to oscillate in combined crossflow and in-line motions, and the ratio of the nominal in-line and transverse natural frequencies is varied systematically. Experiments were conducted on a smooth cylinder at subcritical Reynolds numbers between 15 000 and 60 000 and on a roughened cylinder at supercritical Reynolds numbers between 320 000 and 710 000, with a surface roughness equal to 0.23 % of the cylinder diameter. Strong qualitative and quantitative similarities between the subcritical and supercritical experiments are found, especially when the in-line natural frequency is close to twice the value of the crossflow natural frequency. In both Reynolds number regimes, the test cylinder may exhibit a ‘dual-resonant’ response, resulting in resonant crossflow motion at a frequency fv, near the Strouhal frequency, and resonant in-line motion at 2 fv. This dual resonance is shown to occur over a relatively wide frequency region around the Strouhal frequency, accompanied by stable, highly repeatable figure-eight cylinder orbits, as well as large third-harmonic components of the lift force. Under dual-resonance conditions, both the subcritical and the supercritical response is shown to collapse into a narrow parametric region in which the effective natural-frequency ratio is near the value 2, regardless of the nominal natural-frequency ratio. Some differences are noted in the magnitudes of forces and the cylinder response between the two different Reynolds number regimes, but the dual-resonant response and the resulting force trends are preserved despite the large Reynolds number difference.

JFM classification

Wakes/Jets: Separated flows Wakes/Jets: Vortex streets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 643 , 25 January 2010 , pp. 395 - 424
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Achenback, E. 1968 Distribution of local pressure and skin friction around a circular cylinder in crossflow up to Re = 5 × 106. J. Fluid Mech. 34, 525–539.Google Scholar
Allen, D. W. & Henning, D. L. 1997 Vortex-induced vibration tow tests of smooth cylinders at supercritical Reynolds numbers. In Proceedings of the 7th International Offshore and Polar Engineering Conference, pp. 680–685. ISOPE.Google Scholar
Bearman, P. W. 1969 On vortex shedding from a circular cylinder in the critical Reynolds number regime. J. Fluid Mech. 37 (3), 577–585.CrossRefGoogle Scholar
Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16, 195–222.CrossRefGoogle Scholar
Blevins, R. D. 1990 Flow Induced Vibration. Van Nostrand Reinhold.Google Scholar
Boashash, B. (Ed.) 2003 Time Frequency Signal Analysis and Processing: A Comprehensive Reference, 1st edn. Elsevier.Google Scholar
Carberry, J., Sheridan, J. & Rockwell, D. 2005 Controlled oscillations of a cylinder: forces and wake modes. J. Fluid Mech. 538, 31–69.CrossRefGoogle Scholar
Dahl, J. M., Hover, F. S. & Triantafyllou, M. S. 2006 Two-degree-of-freedom vortex-induced vibrations using a force assisted apparatus. J. Fluids Struct. 22, 807–818.CrossRefGoogle Scholar
Dahl, J. M., Hover, F. S. & Triantafyllou, M. S. 2008 Third harmonic lift forces from phase variation in forced crossflow and in-line cylinder motions. In Ninth International Conference on Flow-Induced Vibrations, Prague, Czech Republic.Google Scholar
Dahl, J. M., Hover, F. S., Triantafyllou, M. S., Dong, S. & Karniadakis, G. E. 2007 Resonant vibrations of bluff bodies cause multi-vortex shedding. Phys. Rev. Lett. 99 (144503).Google Scholar
Ding, Z. J., Balasubramanian, S., Lokken, R. T. & Yung, T.-W. 2004 Lift and damping characteristics of bare and straked cylinders at riser scale Reynolds numbers. In Offshore Technology Conf erence, OTC-16341, Houston, TX.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.CrossRefGoogle Scholar
Hover, F. S., Techet, A. H. & Triantafyllou, M. S. 1998 Forces on oscillating uniform and tapered cylinders in crossflow. J. Fluid Mech. 363, 97–114.CrossRefGoogle Scholar
James, W. D., Paris, S. W. & Malcolm, G. N. 1980 Study of viscous crossflow effects on circular cylinders at high Reynolds numbers. AIAA J. 18 (9), 1066–1072.CrossRefGoogle 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.CrossRefGoogle Scholar
Jeon, D. & Gharib, M. 2001 On circular cylinders undergoing two-degree-of-freedom forced motions. J. Fluids Struct. 15, 533–541.CrossRefGoogle Scholar
Klamo, J. T., Leonard, A. & Roshko, A. 2005 On the maximum amplitude for a freely vibrating cylinder in crossflow. J. Fluids Struct. 21 (4), 429–434.CrossRefGoogle Scholar
Lucor, D., Mukundan, H. & Triantafyllou, M. S. 2006 Riser modal identification in CFD and full-scale experiments. J. Fluids Struct. 22, 905–917.CrossRefGoogle Scholar
Mukundan, H. 2008 Vortex-induced vibration of marine risers: motion and force reconstruction from field and experimental data. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
Mukundan, H., Hover, F. S. & Triantafyllou, M. S. 2009 Applications of accurate viv response reconstruction schemes. In International Conference on Ocean, Offshore and Arctic Engineering, OMAE'09. Honolulu, HI, paper no. 79948.Google Scholar
Raghavan, K. & Bernitsas, M. M. 2007 Enhancement of high damping VIV through roughness distribution for energy harnessing at 8 × 103 < Re < 1.5 × 105. In Fifth Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Costa do Saupe, Bahia, Brazil.Google Scholar
Roshko, A. 1961 Experiments on the flow past a circular cylinder at very high Reynolds number. J. Fluid Mech. 10, 345–356.CrossRefGoogle Scholar
Sarpkaya, T. 1979 Vortex induced oscillations. J. Appl. Mech. 46, 241–258.CrossRefGoogle Scholar
Sarpkaya, T. 1995 Hydrodynamic damping, flow-induced oscillations, and biharmonic response. J. Offshore Mech. Arct. Engng 117, 232–238.Google Scholar
Sarpkaya, T. 2004 A critical review of the intrinsic nature of vortex-induced vibrations. J. Fluids Struct. 19, 389–447.CrossRefGoogle Scholar
Schewe, G. 1983 On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers. J. Fluid Mech. 133, 265–285.CrossRefGoogle Scholar
Shih, W. C. L., Wang, C., Coles, D. & Roshko, A. 1993 Experiments on flow past rough circular cylinders at large Reynolds numbers. J. Wind Engng Indus. Aerodyn. 49, 351–368.CrossRefGoogle Scholar
Szechenyi, E. 1975 Supercritical Reynolds number simulation for two-dimensional flow over circular cylinders. J. Fluid Mech. 70 (3), 529–542.CrossRefGoogle Scholar
Triantafyllou, M. S., Dahl, J., Mukundan, H. & Hover, F. 2007 Recent conceptual developments in vortex-induced vibrations. In International Conference on Ocean, Offshore and Arctic Engineering, OMAE'07, San Diego, CA.Google Scholar
Trim, A. D., Braaten, H., Lie, H. & Tognarelli, M. A. 2005 Experimental investigation of vortex-induced vibration of long marine risers. J. Fluids Struct. 21, 335–361.CrossRefGoogle Scholar
Vandiver, J. K., Jaiswal, V. & Jhingran, V. 2009 Insights on vortex-induced travelling waves on long risers. J. Fluids Struct. 25, 641–653.Google Scholar
Vandiver, J. K., Swithenbank, S., Jaiswal, V. & Jhingran, V. 2006 Fatigue damage from high mode number vortex-induced vibration. In 25th International Conferenece on Offshore Mechanical and Arctic Engineering, Hamburg, Germany.Google Scholar
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355–381.CrossRefGoogle Scholar
Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413–455.CrossRefGoogle Scholar
Zan, S. J. 2008 Experiments on circular cylinders in crossflow at Reynolds numbers up to 7 million. J. Wind Engng Indus. Aerodyn. 96, 880–886.CrossRefGoogle Scholar
Zan, S. J. & Matsuda, K. 2002 Steady and unsteady loading on a roughened circular cylinder at Reynolds numbers up to 900,000. J. Wind Engng Indus. Aerodyn. 90, 567–581.Google Scholar
Zdravkovich, M. M. 1997 Flow around Circular Cylinders, Volume1: Fundamentals. Oxford University Press.Google Scholar