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

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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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

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

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

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)

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

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

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

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

Grahic Jump Location
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



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