The effect of tandem spacing on the flow-induced motions (FIM) of two circular cylinders with passive turbulence control is investigated using two-dimensional (2D) unsteady Reynolds-averaged Navier–Stokes equations with the Spalart–Allmaras turbulence model. Results are compared to experiments in the range of Reynolds number of 30,000 < Re < 100,000. The center-to-center spacing between the two cylinders is varied from 2 to 6 diameters. Simulation results predict well all the ranges of FIM including vortex-induced vibrations (VIV) and galloping and match well with experimental measurements. For the upstream cylinder, the amplitude and frequency responses are not considerably influenced by the downstream cylinder when the spacing is greater than 2D. For the downstream cylinder, a rising amplitude trend in the VIV upper-branch can be observed in all the cases as is typical of flows in the TrSL3 flow regime (transition in shear layer 3; 2 × 104 < Re < 3 × 105). The galloping branch merges with the VIV upper-branch for spacing greater than three-dimensional (3D). Vortex structures show significant variation in different flow regimes in accordance with experimental observations. High-resolution postprocessing shows that the interaction between the wakes of cylinders results in various types of FIM.
Issue Section:
CFD and VIV
References
1.
Bernitsas
, M. M.
, Ben-Simon
, Y.
, Raghavan
, K.
, and Garcia
, E. M. H.
, 2009
, “The VIVACE Converter: Model Tests at High Damping and Reynolds Number Around 105
,” ASME J. Offshore Mech. Arctic Eng.
, 131
(1
), p. 011102
.2.
Bernitsas
, M. M.
, and Raghavan
, K.
, 2009
, “Converter of Current, Tide, or Wave Energy
,” United States Patent and Trademark Office, U.S. Patent No. 7,493,759 B2.3.
Bernitsas
, M. M.
, Raghavan
, K.
, Ben-Simon
, Y.
, and Garcia
, E. M. H.
, 2008
, “VIVACE (Vortex Induced Vibration Aquatic Clean Energy): A New Concept in Generation of Clean and Renewable Energy From Fluid Flow
,” ASME J. Offshore Mech. Arctic Eng.
, 130
(4
), p. 041101
.4.
Chang
, C. C.
, Kumar
, R. A.
, and Bernitsas
, M. M.
, 2011
, “VIV and Galloping of Single Circular Cylinder With Surface Roughness at 3.0 × 104 ≤ Re ≤ 1.2 × 105
,” Ocean Eng.
, 38
(16
), pp. 1713
–1732
.5.
Ding
, L.
, Bernitsas
, M. M.
, and Kim
, E. S.
, 2013
, “2-D URANS vs. Experiments of Flow Induced Motions of Two Circular Cylinders in Tandem With Passive Turbulence Control for 30,000 < Re < 105,000
,” Ocean Eng.
, 72
, pp. 429
–440
.6.
Kim
, E. S.
, Bernitsas
, M. M.
, and Kumar
, R. A.
, 2013
, “Multicylinder Flow-Induced Motions: Enhancement by Passive Turbulence Control at 28,000 < Re < 120,000
,” ASME J. Offshore Mech. Arctic Eng.
, 135
(2
), p. 021802
.7.
Lee
, J. H.
, and Bernitsas
, M. M.
, 2011
, “High-Damping, High-Reynolds VIV Tests for Energy Harnessing Using the VIVACE Converter
,” Ocean Eng.
, 38
(16
), pp. 1697
–1712
.8.
Park
, H.
, Bernitsas
, M. M.
, and Kumar
, R. A.
, 2012
, “Selective Roughness in the Boundary Layer to Suppress Flow-Induced Motions of Circular Cylinder at 30,000 < Re < 120,000
,” ASME J. Offshore Mech. Arctic Eng.
, 134
(4
), p. 041801
.9.
Park
, H.
, Kumar
, R. A.
, and Bernitsas
, M. M.
, 2013
, “Enhancement of Flow-Induced Motion of Rigid Circular Cylinder on Springs by Localized Surface Roughness at 3 × 104 ≤ Re ≤ 1.2 × 105
,” Ocean Eng.
, 72
, pp. 403
–415
.10.
Bearman
, P. W.
, 2011
, “Circular Cylinder Wakes and Vortex-Induced Vibrations
,” J. Fluids Struct.
, 27
(5–6
), pp. 648
–658
.11.
Williamson
, C. H. K.
, and Govardhan
, R.
, 2004
, “Vortex-Induced Vibrations
,” Ann. Rev. Fluid Mech.
, 36
, pp. 413
–455
.12.
Assi
, G.
, Bearman
, P.
, and Meneghini
, J.
, 2010
, “On the Wake-Induced Vibration of Tandem Circular Cylinders: The Vortex Interaction Excitation Mechanism
,” J. Fluid Mech.
, 661
(1
), pp. 365
–401
.13.
Assi
, G.
, Meneghini
, J.
, Aranha
, J.
, Bearman
, P.
, and Casaprima
, E.
, 2006
, “Experimental Investigation of Flow-Induced Vibration Interference Between Two Circular Cylinders
,” J. Fluids Struct.
, 22
(6
), pp. 819
–827
.14.
Chen
, S. S.
, 1986
, “A Review of Flow-Induced Vibration of Two Circular Cylinders in Crossflow
,” ASME J. Pressure Vessel Technol.
, 108
(4
), pp. 129
–140
.15.
Ruscheweyh
, H. P.
, 1983
, “Aeroelastic Interference Effects Between Slender Structures
,” J. Wind Eng. Ind. Aerodyn.
, 14
(1–3
), pp. 129
–140
.16.
Zdravkovich
, M. M.
, and Pridden
, D. L.
, 1977
, “Interference Between Two Circular Cylinders; Series of Unexpected Discontinuities
,” J. Wind Eng. Ind. Aerodyn.
, 2
(3
), pp. 255
–270
.17.
Zdravkovich
, M. M.
, 1988
, “Review of Interference-Induced Oscillations in Flow Past 2 Parallel Circular-Cylinders in Various Arrangements
,” J. Wind Eng. Ind. Aerodyn.
, 28
(1–3
), pp. 183
–200
.18.
Zdravkovich
, M. M.
, 1997
, Flow Around Circular Cylinders Volume 1: Fundamentals
, Oxford University Press
, New York
.19.
Zdravkovich
, M. M.
, 2003
, Flow Around Circular Cylinders Volume 2: Applications
, Oxford University Press
, New York
.20.
Laneville
, A.
, and Brika
, D.
, 1999
, “The Fluid and Mechanical Coupling Between Two Circular Cylinders in Tandem Arrangement
,” J. Fluids Struct.
, 13
(7–8
), pp. 967
–986
.21.
Mittal
, S.
, and Kumar
, V.
, 2001
, “Flow-Induced Oscillations of Two Cylinders in Tandem and Staggered Arrangements
,” J. Fluids Struct.
, 15
(5
), pp. 717
–736
.22.
Mittal
, S.
, and Kumar
, V.
, 2004
, “Vortex Induced Vibrations of a Pair of Cylinders at Reynolds Number 1000
,” Int. J. Comput. Fluid Dyn.
, 18
(7
), pp. 601
–614
.23.
Kim
, S.
, Alam
, M. M.
, Sakamoto
, H.
, and Zhou
, Y.
, 2009
, “Flow-Induced Vibrations of Two Circular Cylinders in Tandem Arrangement—Part 1: Characteristics of Vibration
,” J. Wind Eng. Ind. Aerodyn.
, 97
(5–6
), pp. 304
–311
.24.
Lin
, J. Z.
, Jiang
, R. J.
, Chen
, Z. L.
, and Ku
, X. K.
, 2013
, “Poiseuille Flow-Induced Vibrations of Two Cylinders in Tandem
,” J. Fluids Struct.
, 40
, pp. 70
–85
.25.
Zhao
, M.
, 2013
, “Flow Induced Vibration of Two Rigidly Coupled Circular Cylinders in Tandem and Side-By-Side Arrangements at a Low Reynolds Number of 150
,” Phys. Fluids
, 25
(12
), p. 123601
.26.
Hanenkamp
, W.
, and Hammer
, W.
, 1981
, “Transverse Vibration Behaviour of Cylinders in Line
,” J. Wind Eng. Ind. Aerodyn.
, 7
(1
), pp. 37
–53
.27.
Liu
, X.
, Levitan
, M.
, and Nikitopoulos
, D.
, 2008
, “Wind Tunnel Tests for Mean Drag and Lift Coefficients on Multiple Circular Cylinders Arranged In-Line
,” J. Wind Eng. Ind. Aerodyn.
, 96
(6
), pp. 831
–839
.28.
Wang
, X.
, Zhang
, H.
, Zhou
, Y.
, and Tu
, J.
, 2002
, “Flow Visualization Behind Three Cylinders of Equal and Unequal Spacing
,” J. Flow Visualization Image Process.
, 9
(2–3
), pp. C672
–C685
.29.
Spalart
, P. R.
, and Allmaras
, S. R.
, 1994
, “A One-Equation Turbulence Model for Aerodynamic Flows
,” 30th Aerospace Sciences Meeting and Exhibit
, Reno, NV, Jan. 6–9.30.
Travin
, A.
, Shur
, M.
, Strelets
, M.
, and Spalart
, P.
, 2000
, “Detached-Eddy Simulations Past a Circular Cylinder
,” Flow Turbul. Combust.
, 63
(1
), pp. 293
–313
.31.
Ding
, L.
, Zhang
, L.
, Kim
, E. S.
, and Bernitsas
, M. M.
, 2015
, “URANS vs. Experiments of Flow Induced Motions of Multiple Circular Cylinders With Passive Turbulence Control
,” J. Fluids Struct.
, 54
, pp. 612
–628
.32.
Ding
, L.
, Zhang
, L.
, Wu
, C.
, Mao
, X.
, and Jiang
, D.
, 2015
, “Flow Induced Motion and Energy Harvesting of Bluff Bodies With Different Cross Sections
,” Energy Convers. Manage.
, 91
, pp. 416
–426
.33.
Wu
, W.
, Bernitsas
, M. M.
, and Maki
, K.
, 2014
, “RANS Simulation vs. Experiments of Flow Induced Motion of Circular Cylinder With Passive Turbulence Control at 35,000 < Re < 130,000
,” ASME J. Offshore Mech. Arctic Eng.
, 136
(4
), p. 041802
.34.
Ding
, L.
, Chen
, Y.
, Kim
, E. S.
, and Bernitsas
, M. M.
, 2013
, “2-D URANS vs. Experiments of Flow Induced Motions of Multiple Circular Cylinders With Passive Turbulence Control
,” 32nd OMAE Conference
, Nantes, France, June 9–14, Paper No. 10911.35.
Foulhoux
, L.
, and Bernitsas
, M. M.
, 1993
, “Forces and Moments on a Small Body Moving in a 3-D Unsteady Flow
,” ASME J. Offshore Mech. Arctic Eng.
, 115
(2
), pp. 91
–104
.36.
Bernitsas
, M. M.
, 2016
, “Harvesting Energy by Flow Included Motions
,” Springer Handbook of Ocean Engineering
, M. R.
Dhanak
and N. I.
Xiros
, eds., Springer International Publishing
, Berlin.37.
Wanderley
, J. B. V.
, Sphaier
, S. H.
, and Levi
, C.
, 2008
, “A Numerical Investigation of Vortex Induced Vibration on an Elastically Mounted Rigid Cylinder
,” ASME
Paper No. OMAE2008-57344.38.
Lee
, J. H.
, Xiros
, N.
, and Bernitsas
, M. M.
, 2011
, “Virtual Damper-Spring System for VIV Experiments and Hydrokinetic Energy Conversion
,” Ocean Eng.
, 38
(5–6
), pp. 732
–747
.39.
Blevins
, R. D.
, 1990
, Flow-Induced Vibration
, Krieger Publishing
, Malabar, FL
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