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Research Papers: Fundamental Issues and Canonical Flows

Characteristics of the Wake Behind a Transversely Oscillating Cylinder Near a Wall

[+] Author and Article Information
S. Peter

Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati, Assam 781039, India

A. K. De

Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati, Assam 781039, India
e-mail: akd@iitg.ernet.in

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 15, 2016; final manuscript received October 6, 2016; published online January 19, 2017. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 139(3), 031201 (Jan 19, 2017) (8 pages) Paper No: FE-16-1098; doi: 10.1115/1.4035012 History: Received February 15, 2016; Revised October 06, 2016

In the present study, numerical investigation is carried out for flow past a transversely oscillating circular cylinder near a wall. A second-order finite-volume method employing diffuse interface immersed boundary method is used to handle the nonconforming boundaries. The cylinder is allowed to oscillate on a fixed Eulerian mesh in order to handle the moving boundary. Simulations are carried out for a number of forcing frequencies at three different gap distances and two amplitudes of oscillation with Reynolds number fixed at 200. While a pair of vortices is found to be shed near the stationary shedding frequency at larger gap distance, multiple interconnected vortices are observed at larger forcing frequencies. Proximity of the wall promotes greater interaction of the wall layer with the near wake resulting in inhibited irregular shedding. Energy transfer changes its direction when the correlation between the cylinder motion and the lift force is strongest. Positive energy transfer attains a peak at the onset of the synchronization regime accompanied by a weaker correlation. Amplitude of oscillation of the cylinder evidently has systematic effect on the drag coefficient and wake fluctuations, though lift force remains grossly unaltered. Lower amplitude of motion favors induced motion as opposed to larger ones where greater negative energy transfer occurs.

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References

Blevins, R. D. , 1990, Flow-Induced Vibration, 2nd ed., Van Nostrand Reinhold, New York.
Bearman, P. W. , 1984, “ Vortex Shedding From Oscillating Bluff Bodies,” Annu. Rev. Fluid Mech., 16(1), pp. 195–222. [CrossRef]
Sarpkaya, T. , 2004, “ A Critical Review of the Intrinsic Nature of Vortex-Induced Vibrations,” J. Fluids Struct., 19(4), pp. 389–447. [CrossRef]
Williamson, C. H. K. , and Govardhan, R. , 2004, “ Vortex-Induced Vibrations,” Annu. Rev. Fluid Mech., 36(1), pp. 413–455. [CrossRef]
Blevins, R. D. , 2009, “ Models for Vortex-Induced Vibration of Cylinders Based on Measured Forces,” ASME J. Fluids Eng., 131(10), p. 101203. [CrossRef]
Bishop, R. E. D. , and Hassan, A. Y. , 1964, “ The Lift and Drag Forces on a Circular Cylinder Oscillating in a Flowing Fluid,” Proc. R. Soc. London, Ser. A, 277(1368), pp. 51–75. [CrossRef]
Williamson, C. H. K. , and Roshko, A. , 1988, “ Vortex Formation in the Wake of an Oscillating Cylinder,” J. Fluids Struct., 2(4), pp. 355–381. [CrossRef]
Leontini, J. S. , Stewart, B. E. , Thompson, M. C. , and Hourigan, K. , 2006, “ Wake State and Energy Transitions of an Oscillating Cylinder at Low Reynolds Number,” Phys. Fluids, 18(6), p. 067101. [CrossRef]
Morse, T. L. , and Williamson, C. H. K. , 2006, “ Employing Controlled Vibrations to Predict Fluid Forces on a Cylinder Undergoing Vortex-Induced Vibration,” J. Fluids Struct., 22(6–7), pp. 877–884. [CrossRef]
Morse, T. L. , and Williamson, C. H. K. , 2009, “ Prediction of Vortex-Induced Vibration Response by Employing Controlled Motion,” J. Fluid Mech., 634, pp. 5–39. [CrossRef]
Sumer, B. M. , Fredsoe, J. , Jensen, B. L. , and Christiansen, N. , 1994, “ Forces on Vibrating Cylinder Near Wall in Current and Waves,” J. Waterw., Port, Coastal, Ocean Eng., 120(3), pp. 233–250. [CrossRef]
Huang, Z. , and Larsen, C. M. , 2010, “ Large Eddy Simulation of an Oscillating Cylinder Close to a Wall,” ASME Paper No. OMAE2010-20006.
Fu, S. , Xu, Y. , and Chen, Y. , 2014, “ Seabed Effects on the Hydrodynamics of a Circular Cylinder Undergoing Vortex-Induced Vibration at High Reynolds Number,” J. Waterw., Port, Coastal, Ocean Eng., 140(3), p. 04014008. [CrossRef]
Chen, Y. , Fu, S. , Xu, Y. , and Fan, D. , 2013, “ High Order Force Components of a Near-Wall Circular Cylinder Oscillating in Transverse Direction in a Steady Current,” Ocean Eng., 74, pp. 37–47. [CrossRef]
Zhao, M. , and Cheng, L. , 2011, “ Numerical Simulation of Two-Degree-of-Freedom Vortex-Induced Vibration of a Circular Cylinder Close to a Plane Boundary,” J. Fluids Struct., 27(7), pp. 1097–1110. [CrossRef]
Wang, X. K. , Hao, Z. , and Tan, S. K. , 2013, “ Vortex-Induced Vibrations of a Neutrally Buoyant Circular Cylinder Near a Plane Wall,” J. Fluids Struct., 39, pp. 188–204. [CrossRef]
Yang, B. , Gao, F. , Jeng, D. , and Wu, Y. , 2009, “ Experimental Study of Vortex-Induced Vibrations of a Cylinder Near a Rigid Plane Boundary in Steady Flow,” Acta Mech. Sin., 25(1), pp. 51–63. [CrossRef]
Tham, D. M. , Gurugubelli, P. S. , Li, Z. , and Jaiman, R. K. , 2015, “ Freely Vibrating Circular Cylinder in the Vicinity of a Stationary Wall,” J. Fluids Struct., 59, pp. 103–128. [CrossRef]
Pan, D. , 2006, “ An Immersed Boundary Method for Incompressible Flows Using Volume of Body Function,” Int. J. Numer. Methods Fluids, 50(6), pp. 733–750. [CrossRef]
De, A. K. , 2016, “ A Diffuse Interface Immersed Boundary Method for Convective Heat and Fluid Flow,” Int. J. Heat Mass Transfer, 92, pp. 957–969. [CrossRef]
Verma, A. K. , and Eswaran, V. , 1999, “ An Overlapping Control Volume Method for Navier–Stokes Equations on Nonstaggered Grids,” Int. J. Numer. Methods Fluids, 30(3), pp. 279–308. [CrossRef]
De, A. K. , 2014, “ An Implicit Non-Staggered Cartesian Grid Method for Incompressible Viscous Flows in Complex Geometries,” Sadhana, 39(5), pp. 1071–1094. [CrossRef]
Singh, A. P. , De, A. K. , Carpenter, V . K. , Eswaran, V. , and Muralidhar, K. , 2009, “ Flow Past a Transversely Oscillating Square Cylinder in Free Stream at Low Reynolds Numbers,” Int. J. Numer. Methods Fluids, 61(6), pp. 658–682. [CrossRef]
Yang, J. , and Stern, F. , 2012, “ A Simple and Efficient Direct Forcing Immersed Boundary Framework for Fluid–Structure Interactions,” J. Comput. Phys., 231(15), pp. 5039–5061.
Pham, A.-H. , Lee, C.-Y. , Seo, J.-H. , Chun, H.-H. , Kim, H.-J. , Yoon, H.-S. , Kim, J.-H. , Park, D.-W. , and Park, I.-R . , 2010, “ Laminar Flow Past an Oscillating Circular Cylinder in Cross Flow,” J. Mar. Sci. Technol., 18(3), pp. 361–368.
Guilmineau, E. , and Queutey, P. , 2002, “ A Numerical Simulation of Vortex Shedding From an Oscillating Circular Cylinder,” J. Fluids Struct., 16(6), pp. 773–794. [CrossRef]
Chung, M. , 2016, “ Transverse Vortex-Induced Vibration of Spring-Supported Circular Cylinder Translating Near a Plane Wall,” Eur. J. Mech. B/Fluids, 55(Part 1), pp. 88–103. [CrossRef]
Sewatkar, C. M. , Sharma, A. , and Agrawal, A. , 2012, “ On Energy Transfer in Flow Around a Row of Transversely Oscillating Square Cylinders at Low Reynolds Number,” J. Fluids Struct., 31, pp. 1–17. [CrossRef]
Sarkar, S. , and Sarkar, S. , 2009, “ Large-Eddy Simulation of Wake and Boundary Layer Interactions Behind a Circular Cylinder,” ASME J. Fluids Eng., 131(9), p. 091201. [CrossRef]

Figures

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Fig. 1

Schematic diagram of the flow geometry and boundary conditions

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Fig. 2

Comparisons of CD and CL signals for transversely oscillating cylinder in freestream

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Fig. 5

Instantaneous vorticity field at extreme frequency ratios for A = 0.2

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Fig. 9

Six instantaneous snapshots within one cycle of cylinder motion for g/d=2,fr=1.5, and A=0.4 as plotted in Fig. 6

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Fig. 10

Frequency spectra of the lift signal; two left columns a/d=0.2 and two right columns a/d=0.4

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Fig. 11

Normalized vortex shedding frequency fs by the natural shedding frequency fo as a function of the frequency ratio fr

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Fig. 12

Time histories of CD and CL for fr=0.8 (odd rows) and 1.5 (even rows) at g/d=0.5 (first two rows), 1 (third and fourth rows), and 2 (last two rows) with a/d=0.2 (left column) and 0.4 (right column)

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Fig. 13

Time histories of energy rate at three frequency ratios for a/d=0.2 (top two rows) and 0.4 (bottom two rows) with g/d=0.5 (odd rows) and 2 (even rows)

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Fig. 14

Variation of correlation coefficient between the lift force (CL) and cylinder motion (ys) (left) and energy coefficient (CE) (right) with frequency ratio

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Fig. 15

Average and RMS of drag 〈CD〉,CD′ and lift 〈CL〉,CL′ coefficients as a function of frequency ratio

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Fig. 8

Instantaneous vorticity field at extreme frequency ratios for A = 0.4

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Fig. 7

Six instantaneous snapshots within one cycle of cylinder oscillation for g/d=2,fr=0.9, and A=0.2 as plotted in Fig.6

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Fig. 6

Six instantaneous snapshots within one cycle of cylinder motion for g/d=0.5,fr=1.5, and A=0.2. The time instances are marked on the CL curve (solid line) plotted with the cylinder motion (dashed line) in the inset.

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Fig. 4

A blown-up view of the computing grid (M5) where every second grid line is shown

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Fig. 3

Time traces of CD and CL at different grid levels and domain sizes

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