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Research Papers: Fluid-Structure Interaction

Numerical Simulation of Three-Dimensional Flow Past a Cylinder Oscillating at the Strouhal Frequency

[+] Author and Article Information
S. Peppa

Department of Naval Architecture,
Technological Educational Institute of Athens,
Aegaleo 12210, Greece
e-mail: speppa@teiath.gr

L. Kaiktsis

Department of Naval Architecture
and Marine Engineering,
National Technical University of Athens,
P.O. Box 64033,
Zografos 15710, Greece
e-mail: kaiktsis@naval.ntua.gr

G. S. Triantafyllou

Department of Naval Architecture
and Marine Engineering,
National Technical University of Athens,
P.O. Box 64033,
Zografos 15710, Greece
e-mail: gtrian@deslab.ntua.gr

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 25, 2013; final manuscript received June 19, 2014; published online September 15, 2014. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 137(1), 011302 (Sep 15, 2014) (9 pages) Paper No: PVT-13-1124; doi: 10.1115/1.4027890 History: Received July 25, 2013; Revised June 19, 2014

The paper presents computational results of 3D flow past a cylinder forced to oscillate: (a) transversely with respect to a uniform stream and (b) both transversely and in-line with respect to a uniform stream, following a figure-eight trajectory. For a flow from left to right the figure-eight is traversed counterclockwise in the upper half-plane. Direct numerical simulation (DNS) of the Navier–Stokes equations for 3D flow is performed using a spectral element code. Computations are carried out for a Reynolds number equal to 400, at a transverse oscillation frequency equal to the natural frequency of the Kármán vortex street. For both oscillation modes, the transverse oscillation amplitude is varied from 0 to 0.60 cylinder diameters. The forces on the cylinder are calculated and related to flow structure in the wake. The results indicate that, in general, the presence of in-line oscillation increases the magnitude of forces acting on the cylinder, as well as the power transfer from the flow to the structure. Flow visualizations indicate that, for the figure-eight mode, low-amplitude forcing tends to reduce the wake three-dimensionality. However, at high oscillation amplitudes, the wake structure is found to become more complex at increasing amplitude.

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References

Figures

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Fig. 2

Time-averaged drag coefficient versus Reynolds number in flow past a stationary circular cylinder. Results of present simulations of 2D and 3D flow and literature studies are presented.

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Fig. 3

Values of nondimensional power transfer parameter, P, versus reduced y-oscillation amplitude, for frequency ratio F = 1.0: (a) total value of P for 2D flow, ε = 0, 0.2 (counterclockwise and clockwise modes); (b) total value of P for 3D flow, ε = 0, 0.2 (counterclockwise mode); and (c) individual contributions and total value of P for 3D flow, ε = 0.2 (counterclockwise mode)

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Fig. 4

Time-averaged drag coefficient versus reduced y-oscillation amplitude, for frequency ratio F = 1.0: (a) 2D flow, ε = 0, 0.2 (counterclockwise and clockwise modes); (b) 3D flow, ε = 0, 0.2 (counterclockwise mode)

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Fig. 5

Excitation force coefficient, CLv, versus reduced y-oscillation amplitude, for frequency ratio F = 1.0; here, the cases ε = 0 (transverse-only oscillation) and ε = 0.2 (counterclockwise mode) for 3D flow are presented

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Fig. 6

RMS fluctuation intensity of drag coefficient versus reduced y-oscillation amplitude, for frequency ratio F = 1.0; here, the cases ε = 0 (transverse-only oscillation) and ε = 0.2 (counterclockwise mode) for 3D flow are presented

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Fig. 9

Values of phase shift (in degrees) between instantaneous force components and the corresponding cylinder displacement versus reduced y-oscillation amplitude, for frequency ratio F = 1.0; here, the cases ε = 0 (transverse-only oscillation) and ε = 0.2 (counterclockwise mode) for 3D flow are presented

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Fig. 1

Spectral element grid for 3D flow past a circular cylinder

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Fig. 17

Instantaneous isocontours of spanwise vorticity for the plane z = 3 for 3D flow past a cylinder undergoing a figure-eight oscillation (ε = 0.2) with F = 1.0 and transverse oscillation amplitude: (a) Ay/D = 0.10, (b) Ay/D = 0.20, (c) Ay/D = 0.30, (d) Ay/D = 0.40, and (e) Ay/D = 0.60

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Fig. 7

RMS fluctuation intensity of lift coefficient versus reduced y-oscillation amplitude, for frequency ratio F = 1.0; here, the cases ε = 0 (transverse-only oscillation) and ε = 0.2 (counterclockwise mode) for 3D flow are presented

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Fig. 8

Inertia force coefficient CLa versus reduced y-oscillation amplitude, for frequency ratio F = 1.0; here, the cases ε = 0 (transverse-only oscillation) and ε = 0.2 (counterclockwise mode) for 3D flow are presented

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Fig. 14

Instantaneous vorticity isosurfaces (top view) for 3D flow past a cylinder oscillating in the transverse-only direction (ε = 0) with F = 1.0 and oscillation amplitude: (a) Ay/D = 0.10, (b) Ay/D = 0.20, (c) Ay/D = 0.30, (d) Ay/D = 0.40, and (e) Ay/D = 0.60

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Fig. 15

Instantaneous isocontours of spanwise vorticity for the plane z = 3 for 3D flow past a cylinder oscillating in the transverse-only direction (ε = 0) with F = 1.0 and oscillation amplitude: (a) Ay/D = 0.10, (b) Ay/D = 0.20, (c) Ay/D = 0.30, (d) Ay/D = 0.40, and (e) Ay/D = 0.60

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Fig. 16

Instantaneous vorticity isosurfaces (top view) for 3D flow past a cylinder undergoing a figure-eight oscillation (ε = 0.2) with F = 1.0 and transverse oscillation amplitude: (a) Ay/D = 0.10, (b) Ay/D = 0.20, (c) Ay/D = 0.30, (d) Ay/D = 0.40, and (e) Ay/D = 0.60

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Fig. 10

Lift coefficient spectrum for 3D simulation with frequency ratio F = 1.0, ε = 0 (transverse-only oscillation) and transverse oscillation amplitude Ay/D = 0.20

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Fig. 11

Lift coefficient spectrum for 3D simulation with frequency ratio F = 1.0, ε = 0 (transverse-only oscillation) and transverse oscillation amplitude Ay/D = 0.60

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Fig. 12

Lift coefficient spectrum for 3D simulation with frequency ratio F = 1.0, counterclockwise cylinder motion with ε = 0.2 and transverse oscillation amplitude Ay/D = 0.20

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Fig. 13

Lift coefficient spectrum for 3D simulation with frequency ratio F = 1.0, counterclockwise cylinder motion with ε = 0.2 and transverse oscillation amplitude Ay/D = 0.60

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