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Journal of Fluids Engineering | Volume 140 | Issue 6 | research-article
Research Papers: Fundamental Issues and Canonical Flows

Response of a Circular Cylinder Wake to Periodic Wave Excitations

[+] Author and Article Information
Sang Bong Lee

Department of Naval Architecture and
Offshore Engineering,
Dong-A University,
S03-509, 37 Nakdong-Daero, 550 beon-gil,
Busan 49315, South Korea
e-mail: sblee1977@dau.ac.kr

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 25, 2017; final manuscript received January 2, 2018; published online February 6, 2018. Assoc. Editor: Riccardo Mereu.

J. Fluids Eng 140(6), 061202 (Feb 06, 2018) (10 pages) Paper No: FE-17-1448; doi: 10.1115/1.4039032 History: Received July 25, 2017; Revised January 02, 2018
Article
References
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Two-dimensional (2D) numerical simulations of multiphase flows past a circular cylinder close to free surface waves were performed to investigate an interaction of vortex formation around a cylinder with periodic waves by utilizing waves2Foam. The lock-on responses of lift coefficient at low frequencies were lower than those of the natural response due to the existence of “out-of-phase” between the fluctuations of lift coefficient by vortex formation and the vertical force fluctuations by wave motions. The resonant effect of an external excitation by the periodic waves on the lift coefficient fluctuations was not significant despite the occurrence of lock-on.
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References

1
Berger, E. , and Wille, R. , 1972, “Periodic Flow Phenomena,” Annu. Rev. Fluid Mech., 4(1), pp. 313–340. [CrossRef]
2
Williamson, C. H. K. , 1996, “Vortex Dynamics in the Cylinder Wake,” Annu. Rev. Fluid Mech., 28(1), pp. 477–539. [CrossRef]
3
Triantafyllou, G. S. , and Dimas, A. A. , 1989, “Interaction of Two-Dimensional Separated Flows With a Free Surface at Low Froude Numbers,” Phys. Fluids, 1(11), pp. 1813–1821. [CrossRef]
4
Yu, D. , and Tryggvason, G. , 1990, “The Free Surface Signature of Unsteady Two Dimensional Vortex Flows,” J. Fluid Mech., 218(1), pp. 547–572. [CrossRef]
5
Miyata, H. , Shikazono, N. , and Kani, M. , 1990, “Forces on a Circular Cylinder Advancing Steadily Beneath the Free-Surface,” Ocean Eng., 17(1–2), pp. 81–104. [CrossRef]
6
Roshko, A. , Steinolfson, A. , and Chattoorgoon, V. , 1975, “Flow Forces on a Cylinder Near a Wall or Near Another Cylinder,” Second U.S. Conference of Wind Engineering Research, Fort Collins, CO, June 22–25, pp. 1–3. http://www.dtic.mil/docs/citations/ADA021165
7
Göktun, S. , 1975, “The Drag and Lift Characteristics of a Cylinder Placed Near a Plane Surface,” M.S. thesis, Naval Postgraduate School, Monterey, CA. https://calhoun.nps.edu/bitstream/handle/10945/20826/dragliftcharacte00gokt.pdf;sequence=1
8
Sheridan, J. , Lin, J.-C. , and Rockwell, D. , 1995, “Metastable States of a Cylinder Wake Adjacent to a Free Surface,” Phys. Fluids, 7(9), pp. 2099–2101. [CrossRef]
9
Warburton, T. C. , and Karniadakis, G. E. , 1997, “Spectral Simulations of Flow Past a Cylinder Close to a Free-Surface,” Vancouver, BC, Canada, June 22–26, Paper No. FEDSM97-3689.
10
Reichl, P. J. , Hourigan, K. , and Thompson, M. C. , 2003, “The Unsteady Wake of a Circular Cylinder Near a Free Surface,” Flow, Turbul. Combust., 71(1–4), pp. 347–359. [CrossRef]
11
Reichl, P. J. , Hourigan, K. , and Thompson, M. C. , 2005, “Flow Past a Cylinder Close to a Free Surface,” J. Fluid Mech., 533, pp. 269–296. [CrossRef]
12
Tănase, N. O. , Broboană, D. , and Bălan, C. , 2014, “Free Surface Flow in Vicinity of an Immersed Cylinder,” Proc. Rom. Acad., Ser. A, 15(4), pp. 371–378. http://hydrop.pub.ro/attachments/article/99/Paper%20Proc.Rom.Acad.%202014.pdf
13
Kostikov, V. K. , and Makarenko, N. I. , 2016, “The Motion of Elliptic Cylinder Under Free Surface,” J. Phys. Conf. Ser., 722(1), p. 012021. [CrossRef]
14
Kawamura, T. , Mayer, S. , Garapon, A. , and Sørensen, L. , 2002, “Large Eddy Simulation of a Flow Past Free Surface Piercing Circular Cylinder,” ASME J. Fluids Eng., 124(1), pp. 91–101. [CrossRef]
15
Yu, G. , Avital, E. J. , and Williams, J. J. R. , 2008, “Large Eddy Simulation of Flow Past Free Surface Piercing Circular Cylinders,” ASME J. Fluids Eng., 130(10), p. 101304. [CrossRef]
16
Koo, B. , Yang, J. , Yeon, S. M. , and Stern, F. , 2014, “Reynolds and Froude Number Effect on the Flow Past an Interface-Piercing Circular Cylinder,” Int. J. Nav. Archit. Ocean Eng., 6(3), pp. 529–561. [CrossRef]
17
Oshkai, P. M. , 1998, “Free-Surface Wave Interaction With a Horizontal Cylinder,” M.S. thesis, Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.515.1585&rep=rep1&type=pdf
18
Chern, M.-J. , Odhiambo, E. A. , Horng, T. -L. , and Borthwick, A. G. L. , 2016, “Numerical Simulation of Vibration of Horizontal Cylinder Induced by Progressive Waves,” Fluid Dyn. Res., 48(1), pp. 1–25. [CrossRef]
19
Taneda, S. , 1978, “Visual Observations of the Flow Past a Circular Cylinder Performing a Rotatory Oscillation,” J. Phys. Soc. Jpn., 45(3), pp. 1038–1043. [CrossRef]
20
Baek, S.-J. , and Sung, H. J. , 1998, “Numerical Simulation of the Flow Behind a Rotary Oscillating Circular Cylinder,” Phys. Fluids, 10(4), pp. 869–876. [CrossRef]
21
Baek, S.-J. , Lee, S. B. , and Sung, H. J. , 2001, “Response of a Circular Cylinder Wake to Superharmonic Excitation,” J. Fluid Mech., 442, pp. 67–88. [CrossRef]
22
Rusche, H. , 2002, “Computational Fluid Dynamics of Dispersed Two-Phase Flows at High Phase Fractions,” Ph.D. thesis, University of London, London. http://powerlab.fsb.hr/ped/kturbo/OpenFOAM/docs/HenrikRuschePhD2002.pdf
23
Jacobsen, N. G. , Fuhrman, D. R. , and Fredsøe, J. , 2012, “A Wave Generation Toolbox for the Open-Source CFD Library: OpenFoam®,” Int. J. Numer. Methods Fluids, 70(9), pp. 1073–1088. [CrossRef]
24
Mayer, S. , Garapon, A. , and Sørensen, L. S. , 1998, “A Fractional Step Method for Unsteady Free-Surface Flow With Application to Non-Linear Wave Dynamics,” Int. J. Numer. Methods Fluids, 28(2), pp. 293–315. [CrossRef]
25
Roache, P. J. , 1994, “Perspective: A Method for Uniform Reporting of Grid Refinement Studies,” ASME J. Fluids Eng., 116(3), pp. 405–413. [CrossRef]
26
Williamson, C. H. K. , 1989, “Oblique and Parallel Modes of Vortex Shedding in the Wake of a Circular Cylinder at Low Reynolds Numbers,” J. Fluid Mech., 206(1), pp. 579–627. [CrossRef]
27
Qu, L. , Norberg, C. , Davidson, L. , Peng, S.-H. , and Wang, F. , 2013, “Quantitative Numerical Analysis of Flow Past a Circular Cylinder at Reynolds Number Between 50 and 200,” J. Fluid Struct., 39, pp. 347–370. [CrossRef]
28
Rajani, B. N. , Kandasamy, A. , and Majumdar, S. , 2009, “Numerical Simulation of Laminar Flow Past a Circular Cylinder,” Appl. Math. Modell., 33(3), pp. 1228–1247. [CrossRef]
29
Filler, J. R. , Marston, P. L. , and Mih, W. C. , 1991, “Response of the Shear Layers Separating From a Circular Cylinder to Small-Amplitude Rotational Oscillations,” J. Fluid Mech., 231(1), pp. 481–499. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic of flow past a circular cylinder close to periodic waves: (a) schematic diagram showing important parameters and (b) computation domain size and relaxation zones

+Schematic of flow past a circular cylinder close to periodic waves: (a) schematic diagram showing important parameters and (b) computation domain size and relaxation zones
View Large  |  Save Figure  |  Download Slide (.ppt)
Schematic of flow past a circular cylinder close to periodic waves: (a) schematic diagram showing important parameters and (b) computation domain size and relaxation zones
Grahic Jump Location
Fig. 2

Frequency response of lift coefficient at Re = 180 and Fr = 0.3 when using a stationary free surface, where St∞ represents a natural frequency of CL for a circular cylinder in an infinite medium at Re = 180

+Frequency response of lift coefficient at Re = 180 and Fr = 0.3 when using a stationary free surface, where St∞ represents a natural frequency of CL for a circular cylinder in an infinite medium at Re = 180
View Large  |  Save Figure  |  Download Slide (.ppt)
Frequency response of lift coefficient at Re = 180 and Fr = 0.3 when using a stationary free surface, where St∞ represents a natural frequency of CL for a circular cylinder in an infinite medium at Re = 180
Grahic Jump Location
Fig. 3

Phase diagrams of lift coefficient fluctuations at h/D = 2.5 with respect to Re = 180 and Fr = 0.3, where Ste represents the encountering frequency of waves: (a) Ste = 0.1947, (b) Ste = 0.1966, (c) Ste = 0.1985, (d) Ste = 0.2004, (e) Ste = 0.2024, (f) Ste = 0.2043, (g) Ste = 0.2062, and (h) Ste = 0.2081

+Phase diagrams of lift coefficient fluctuations at h/D = 2.5 with respect to Re = 180 and Fr = 0.3, where Ste represents the encountering frequency of waves: (a) Ste = 0.1947, (b) Ste = 0.1966, (c) Ste = 0.1985, (d) Ste = 0.2004, (e) Ste = 0.2024, (f) Ste = 0.2043, (g) Ste = 0.2062, and (h) Ste = 0.2081
View Large  |  Save Figure  |  Download Slide (.ppt)
Phase diagrams of lift coefficient fluctuations at h/D = 2.5 with respect to Re = 180 and Fr = 0.3, where Ste represents the encountering frequency of waves: (a) Ste = 0.1947, (b) Ste = 0.1966, (c) Ste = 0.1985, (d) Ste = 0.2004, (e) Ste = 0.2024, (f) Ste = 0.2043, (g) Ste = 0.2062, and (h) Ste = 0.2081
Grahic Jump Location
Fig. 4

Responses of CL(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3, where the subscript “∞” denotes quantities obtained from the circular cylinder in an infinite medium, while the subscript “0” represents quantities obtained from the circular cylinder beneath a stationary free surface: (a) response of CL′(t) and (b) response of CL′(t)

+Responses of CL(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3, where the subscript “∞” denotes quantities obtained from the circular cylinder in an infinite medium, while the subscript “0” represents quantities obtained from the circular cylinder beneath a stationary free surface: (a) response of CL′(t) and (b) response of CL′(t)
View Large  |  Save Figure  |  Download Slide (.ppt)
Responses of CL(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3, where the subscript “∞” denotes quantities obtained from the circular cylinder in an infinite medium, while the subscript “0” represents quantities obtained from the circular cylinder beneath a stationary free surface: (a) response of CL′(t) and (b) response of CL′(t)
Grahic Jump Location
Fig. 5

Temporal evolutions of vorticity fluctuations at Ste = 0.1966, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively

+Temporal evolutions of vorticity fluctuations at Ste = 0.1966, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively
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Temporal evolutions of vorticity fluctuations at Ste = 0.1966, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively
Grahic Jump Location
Fig. 6

Temporal evolutions of vorticity fluctuations at Ste = 0.2062, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively

+Temporal evolutions of vorticity fluctuations at Ste = 0.2062, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively
View Large  |  Save Figure  |  Download Slide (.ppt)
Temporal evolutions of vorticity fluctuations at Ste = 0.2062, where the positive (counterclockwise) and the negative (clockwise) vorticities are represented by solid and dashed lines, respectively
Grahic Jump Location
Fig. 7

Responses of CL(rms)′ and CL(S)(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3

+Responses of CL(rms)′ and CL(S)(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3
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Responses of CL(rms)′ and CL(S)(rms)′ based on the gap ratio in the lock-on ranges for Fr = 0.3
Grahic Jump Location
Fig. 8

Phase diagrams of lift coefficient fluctuations at h/D = 0.5 with respect to H0/D = 0.15: (a) Ste = 0.2033, (b) Ste = 0.2043, (c) Ste = 0.2052, (d) Ste = 0.2062, (e) Ste = 0.2072, (f) Ste = 0.2081, (g) Ste = 0.2091, (h) Ste = 0.2100, (i) Ste = 0.2110, (j) Ste = 0.2120, (k) Ste = 0.2129, and (l) Ste = 0.2139

+Phase diagrams of lift coefficient fluctuations at h/D = 0.5 with respect to H0/D = 0.15: (a) Ste = 0.2033, (b) Ste = 0.2043, (c) Ste = 0.2052, (d) Ste = 0.2062, (e) Ste = 0.2072, (f) Ste = 0.2081, (g) Ste = 0.2091, (h) Ste = 0.2100, (i) Ste = 0.2110, (j) Ste = 0.2120, (k) Ste = 0.2129, and (l) Ste = 0.2139
View Large  |  Save Figure  |  Download Slide (.ppt)
Phase diagrams of lift coefficient fluctuations at h/D = 0.5 with respect to H0/D = 0.15: (a) Ste = 0.2033, (b) Ste = 0.2043, (c) Ste = 0.2052, (d) Ste = 0.2062, (e) Ste = 0.2072, (f) Ste = 0.2081, (g) Ste = 0.2091, (h) Ste = 0.2100, (i) Ste = 0.2110, (j) Ste = 0.2120, (k) Ste = 0.2129, and (l) Ste = 0.2139
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Fig. 9

Temporal fluctuations of the free surface above the center of a circular cylinder located at x = 0, where c1–c8 represents one period at the crest of CL′(t) and t1–t8 represents on period at the trough

+Temporal fluctuations of the free surface above the center of a circular cylinder located at x = 0, where c1–c8 represents one period at the crest of CL′(t) and t1–t8 represents on period at the trough
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Temporal fluctuations of the free surface above the center of a circular cylinder located at x = 0, where c1–c8 represents one period at the crest of CL′(t) and t1–t8 represents on period at the trough

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