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TECHNICAL PAPERS

Flow Structure in the Wake of a Rotationally Oscillating Cylinder

[+] Author and Article Information
F. M. Mahfouz, H. M. Badr

Mechanical Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

J. Fluids Eng 122(2), 290-301 (Nov 15, 1999) (12 pages) doi:10.1115/1.483257 History: Received June 15, 1998; Revised November 15, 1999
Copyright © 2000 by ASME
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References

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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, 227, pp. 51–75.
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Griffin,  O. M., and Ramberg,  S. E., 1976, “Vortex shedding from a cylinder vibrating in line with an incipient uniform flow,” J. Fluid Mech., 75, pp. 257–271.
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Tokumaru,  P. T., and Dimotakis,  P. E., 1991, “Rotary oscillation control of cylinder wake,” J. Fluid Mech., 224, pp. 77–90.
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Ta Phuoc,  Loc, and Bouard,  R., 1985, “Numerical solution of the early stage of the unsteady viscous flow around a circular cylinder: A comparison with experimental visualization and measurements,” J. Fluid Mech., 180, pp. 93–117.
Ta Phuoc,  Loc, 1980, “Numerical analysis of unsteady secondary vortices generated by an impulsively started circular cylinder,” J. Fluid Mech., 100, Part 1, pp. 111–128.
Coutanceau,  M., and Menard,  C., 1985, “Influence of rotation on the near-wake development behind an impulsively started circular cylinder,” J. Fluid Mech., 158, pp. 399–446.
Williamson,  C. H. K., 1991, “2-D and 3-D Aspects of the wake of a cylinder, and their relation to wake computations,” Lectures of Applied Mathematics,9, Am. Math. Soc., pp. 719–751.
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Figures

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The streamline pattern for impulsively started over a fixed cylinder for the case of Re=3000 at t=3 and comparison with previous results; (a) present study, (b) experimental, and (c) theoretical results obtained by Ta Phuoc Loc and Bouard 16.
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The physical model and coordinate system
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Effect of oscillation amplitude on the time variation of lift coefficient at Re=200 and FR=0.5
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The time variation of lift and drag coefficients and angular velocity in the far wake (r=10, θ=0) at Re=200, ΘA=π/2 and (a) FR=1.11, (b) FR=1.5, and (c) FR=2
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Streamline patterns (left) and equi-vorticity patterns (right) for one complete cycle of cylinder oscillation in case of Re=200, ΘA=π/2 and FR=1.11 at times (a) t=to. (b) t=to+1/4Tp, (c) t=to+1/2Tp, (d) t=to+3/4Tp, (e) t=to+Tp.
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Frequency selection diagram
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(a) The time variation of lift and drag coefficients and angular velocity in the far wake at Re=200, ΘA=π/2 and FR=0.83 and the corresponding Fourier analysis of (b) the near wake and (c) the far wake.
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The effect of frequency ratio on the time-averaged lift and drag coefficients at Re=100, ΘA=π/8 and π/4; (a) lift coefficient and (b) drag coefficient. ––– ΘA=π/8; —— ΘA=π/4.
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Effect of frequency on average amplitude of lift coefficient and comparison with previous studies for the case of Re=80 and α=0.2. ∏ present study; —— experimental and ⋄ numerical results of Okajima et al. 5.
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Streamline patterns (left) and equi-vorticity patterns (right) for one complete cycle in case of Re=200, ΘA=π/2 and FR=0.83 at times (a) t=to. (b) t=to+1/4Tp, (c) t=to+1/2Tp, (d) t=to+3/4Tp (e) t=to+Tp where Tp is the time period of cylinder oscillation.
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The time development of the x-component of velocity along θ=0 at Re=550; —— present results; ––– numerical results of Ta Phuoc Loc 17.
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Time development of velocity components along θ=0 and comparison with experimental results of Coutanceau and Menard 18 at Re=200 and α=1/2. Experimental values: • t=1; ○ t=2; ⊕ t=3; ▵ t=4; ⋄ t=5; ★ t=6; Theoretical curves (a) x-component, (b) y-component.
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The time variation of tangential velocity component, drag coefficient and lift coefficient for the case of a fixed cylinder at Re=200.
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(a) The time variation of lift and drag coefficients for a non-lock-on regime at Re=200, ΘA=π/4 and FR=0.5. (b) The time variation of lift and drag coefficients for a non-lock-on regime at Re=200, ΘA=π/8 and FR=2.
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Fourier analysis of the far wake for two non-lock-on regimes at Re=200 and (a) ΘA=π/4,FR=1/2, (b) ΘA=π/8,FR=2
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Streamline patterns (left) equi-vorticity patterns (right) for one complete cycle in case of Re=200, ΘA=π/4 and FR=1/2 at times (a) t=40, (b) t=42.75, (c) t=45.5, (d) t=48.25, (e) t=51, (f) t=53.75, (g) t=56.5, (h) t=59.25, (i) t=62
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The time variation of surface pressure distribution for an non lock-on regime during (a) one complete cycle in case of Re=200, ΘA=π/4 and FR=1/2, (b) two complete cycle in case of Re=200, ΘA=π/8 and FR=2
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The time variation of the lift coefficient for a lock-on regime in case of Re=200, ΘA=π/4 and FR=0.83 and 1.11
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The time variation of the lift coefficient for the case of Re=40, S=0.1 and α=0.2 and comparison with the numerical results of Okajima et al. 5.
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Streamline patterns (left) and equi-vorticity patterns (right) for one complete cycle of cylinder oscillation in case of Re=200, ΘA=π/2 and FR=1.11 at times (a) t=to. (b) t=to+1/4Tp, (c) t=to+1/2Tp, (d) t=to+3/4Tp, (e) t=to+Tp.
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The time variation of the lift coefficient and corresponding Fourier analysis for the case of Re=200, ΘA=π/8 and FR=1.25: (a) lift coefficient, (b) Fourier analysis.

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