Y. Yokoi et K. Kamemoto, VORTEX SHEDDING FROM AN OSCILLATING CIRCULAR-CYLINDER IN A UNIFORM-FLOW, Experimental thermal and fluid science, 8(2), 1994, pp. 121-127
In this study, the vortex shedding from a circular cylinder in forced
oscillation in the direction of a uniform flow was investigated by vis
ualizing water flows around it at Reynolds numbers of 260-2460. It was
observed that the frequency of vortex shedding from the oscillating c
ylinder tends to be equal to n times the cylinder's oscillation freque
ncy (n = 0.5, 1, 2, 3,...), even if the oscillation frequency is small
er than the natural Karman vortex frequency. This tendency can be cons
idered a sort of ''lock-in'' phenomenon, and its features vary with bo
th oscillation amplitude and Reynolds number. It was also known that f
lows of vortex shedding wakes in the lock-in states can be classified
into three typical patterns depending on the lock-in frequency ratio n
(n = 0.5, 1, 2, 3,...). At the lock-in states of n = 2, 3,..., a set
of vortices are shed with shorter and longer periods during one cycle
of cylinder oscillation. At the lock-in state of n = 1, a twin vortex
street is formed; twin vortices are also formed at n = 0.5, but a Karm
an vortex street appears instead of the twin vortex street. When the v
ortex shedding is out of a lock-in state, the flow pattern of the wake
becomes very complex. Although the instantaneous vortex shedding freq
uency varies with the change of relative velocity in one cycle of the
cylinder oscillation, the rate of variation of the vortex shedding fre
quency is greater than that of the relative flow velocity. Even if the
oscillation frequency is as small as about 10% of the Karman vortex f
requency, the vortex shedding shows a tendency to deviate from the sta
te of so-called quasi-steady vortex shedding.