In Part 1 of the present study, it was found that the phase angle between the transverse force and the motion of a cylinder subjected to oscillations in the cross-flow direction, is strongly dependent on the parameters of the cylinder excitation. Since the phase angle is associated with the timing of vortex shedding, i.e., the phase of vortex formation with respect to the cylinder motion, the alteration of the phase angle at different conditions of forced excitation suggests a change in timing. For the investigation of timing at different excitation conditions, a detailed numerical visualization in the near-wake was conducted, by superimposing the vorticity contours on the streamlines when the cylinder displacement had reached the uppermost position. Flow visualization during a half-cycle for characteristic cases of the cylinder excitation was also performed, in an attempt to explain the alterations induced in the vortex spacing by the cylinder motion, which were also observed in Part 1. The numerical solution revealed a switch in timing when the excitation frequency is increased over the natural shedding frequency, which is accompanied by an instability in the near-wake which renders the wake aperiodic. Various examples of aperiodic flows are illustrated, and an explanation for the initiation of aperiodicity is provided. Finally, a balance between the circulation shed into the wake per oscillation cycle and that surviving in the vortices is conducted, while the distribution ofu ′rmsalong the wake centreline and the base pressure on the cylinder for various excitation conditions are also presented.
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