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Feedback control of vortex shedding from a circular cylinder by cross-flow cylinder oscillations

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Abstract

Feedback control of vortex shedding from a circular cylinder in a uniform flow at moderate Reynolds numbers is studied experimentally with the cylinder subjected to feedback cylinder oscillations in cross-flow direction. The cylinder oscillation is digitally phase shifted with respect to the shedding vortex and is controlled by velocity feedback from the shear layer of the cylinder wake. Possible attenuation of vortex shedding is demonstrated by hot-wire measurements of the flow field and its mechanisms are studied by simultaneous data sampling and flow visualization with the smoke wire method and a laser-sheet illumination technique. Measurement results reveal substantial reduction in the fluctuating reference velocity at the optimum phase control. Flow visualization study indicates that the shear layer roll-up and the eventual vortex formation are dynamically attenuated under the control which results in a modification of the near wake.

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Abbreviations

A :

amplitude of cylinder oscillation

D :

cylinder diameter

E u :

power spectrum function for fluctuating velocity u′

\(f\) :

frequency

R :

radius of circular cylinder

t :

time

u :

streamwise mean velocity

u′:

streamwise fluctuating velocity

U :

streamwise mean velocity of main flow

u r :

mean reference velocity

u′ r :

fluctuating reference velocity

u′ rf :

fluctuating reference velocity after filtering

y c :

cylinder displacement

x, y, z :

coordinates from the cylinder center (Fig. 1)

α:

feedback coefficient

φ :

phase lag

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Additional information

The authors would like to express thanks to Professor K. Nagaya for his advice for designing electromagnetic actuators in the present experiments.

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Warui, H.M., Fujisawa, N. Feedback control of vortex shedding from a circular cylinder by cross-flow cylinder oscillations. Experiments in Fluids 21, 49–56 (1996). https://doi.org/10.1007/BF00204635

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  • DOI: https://doi.org/10.1007/BF00204635

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