The role of the added mass coefficient in vortex induced vibration (VIV) of the bluff body is complex and elusive. It is certain that decoding the relationship between the added mass and the vibration pattern will benefit the prediction and prevention of VIV. We present a study on VIV of a long flexible cylinder and forced vibration of a rigid cylinder, in a combination of experimental optical measurements and high-fidelity numerical simulation. We focus on uniform flow over a uniform cylinder at a fixed Reynolds number, Red = 900, but systematically varied the motion amplitude in the in-line () and cross-flow direction (), as well as the phase angle (θ) between the motions. We show that is associated with negative added mass coefficients in the cross-flow direction (Cmy < 0), and there is a strong correlation between the vortex shedding mode of “2P” or “P+S” and Cmy < 0.
References
1.
J.
Wang
, D.
Fan
, and K.
Lin
, “A review on flow-induced vibration of offshore circular cylinders
,” J. Hydrodynamics
32
, 415
–440
(2020
).2.
D.
Fan
and M. S.
Triantafyllou
, “Vortex-induced vibration of riser with low span to diameter ratio buoyancy modules
,” in the 27th International Offshore and Polar Engineers Conference
(International Society of Offshore and Polar Engineers
, 2017
).3.
D.
Fan
, G.
Jodin
, T.
Consi
, L.
Bonfiglio
, Y.
Ma
, L.
Keyes
, G. E.
Karniadakis
, and M. S.
Triantafyllou
, “A robotic intelligent towing tank for learning complex fluid-structure dynamics
,” Sci. Rob.
4
, eaay5063
(2019
).4.
K.
Lin
, D.
Fan
, and J.
Wang
, “Dynamic response and hydrodynamic coefficients of a cylinder oscillating in crossflow with an upstream wake interference
,” Ocean Eng.
209
, 107520
(2020
).5.
K.
Lin
, J.
Wang
, D.
Fan
, and M. S.
Triantafyllou
, “Flow-induced cross-flow vibrations of long flexible cylinder with an upstream wake interference
,” Phys. Fluids
33
, 065104
(2021
).6.
B.
Liu
and H.
Zhu
, “Secondary lock-in of vortex-induced vibration and energy transfer characteristics of a vibrating cylinder subject to cross buoyancy
,” Phys. Fluids
33
, 073607
(2021
).7.
C. H. K.
Williamson
and A.
Roshko
, “Vortex formation in the wake of an oscillating cylinder
,” J. Fluids Struct.
2
, 355
–381
(1988
).8.
R.
Gopalkrishnan
, “Vortex-induced forces on oscillating bluff cylinders
,” Ph.D. thesis (Massachusetts Institute of Technology
, 1993
).9.
J.
Carberry
, J.
Sheridan
, and D.
Rockwell
, “Controlled oscillations of a cylinder: Forces and wake modes
,” J. Fluid Mech.
538
, 31
–69
(2005
).10.
J. M.
Dahl
, F. S.
Hover
, M. S.
Triantafyllou
, and O. H.
Oakley
, “Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers
,” J. Fluid Mech.
643
, 395
–424
(2010
).11.
J. M.
Dahl
, F. S.
Hover
, M. S.
Triantafyllou
, S.
Dong
, and G. E.
Karniadakis
, “Resonant vibrations of bluff bodies cause multivortex shedding and high frequency forces
,” Phys. Rev. Lett.
99
, 144503
(2007
).12.
J. M.
Dahl
, F. S.
Hover
, and M. S.
Triantafyllou
, “High harmonic forces and predicted vibrations from forced in-line and cross-flow cylinder motions
,” in the 18th International Offshore and Polar Engineer Conference
(International Society of Offshore and Polar Engineers
, 2008
).13.
Z.
Wang
, D.
Fan
, M. S.
Triantafyllou
, and G. E.
Karniadakis
, “A large-eddy simulation study on the similarity between free vibrations of a flexible cylinder and forced vibrations of a rigid cylinder
,” J. Fluids Struct.
101
, 103223
(2021
).14.
D.
Fan
, “Mapping the hydrodynamic properties of flexible and rigid bodies undergoing vortex-induced vibrations
,” Ph.D. thesis (Massachusetts Institute of Technology
, 2019
).15.
F. J.
Huera-Huarte
and P. W.
Bearman
, “Wake structures and vortex-induced vibrations of a long flexible cylinder—Part 1: Dynamic response
,” J. Fluids Struct.
25
, 969
–990
(2009
).16.
The Reynolds number where ν is the fluid kinematic viscosity.
17.
The nominal reduced velocity where is the natural frequency of the cylinder first vibration mode in the still water, assuming uniform added mass distribution along the span of .
18.
Z.
Wang
, M. S.
Triantafyllou
, Y.
Constantinides
, and G. M.
Karniadakis
, “An entropy-viscosity large eddy simulation study of turbulent flow in a flexible pipe
,” J. Fluid Mech.
859
, 691
–730
(2019
).19.
G. E.
Karniadakis
and S.
Sherwin
, Spectral/hp Element Methods for Computational Fluid Dynamics
, 2nd ed. (Oxford University Press
, Oxford
, 2005
).20.
R.
Bourguet
, G. E.
Karniadakis
, and M. S.
Triantafyllou
, “Phasing mechanisms between the in-line and cross-flow vortex-induced vibrations of a long tensioned beam in shear flow
,” Comput. Struct.
122
, 155
–163
(2013
).21.
R.
Bourguet
, Y.
Modarres-Sadeghi
, G. E.
Karniadakis
, and M. S.
Triantafyllou
, “Wake-body resonance of long flexible structures is dominated by counterclockwise orbits
,” Phys. Rev. Lett
107
, 134502
(2011
).© 2021 Author(s). Published under an exclusive license by AIP Publishing.
2021
Author(s)
You do not currently have access to this content.
