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Flow structure from an oscillating cylinder Part 2. Mode competition in the near wake

Published online by Cambridge University Press:  21 April 2006

A. Ongoren  and
D. Rockwell
A. Ongoren
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA
D. Rockwell
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA
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Abstract

A circular cylinder subjected to forced oscillations at angle α with respect to the free stream shows a number of admissible modes of vortex formation synchronized with the body motion. These modes can be categorized into two basic groups: symmetrical vortex formation; and antisymmetrical vortex formation. Whereas there is a single symmetrical mode, there are four basic antisymmetrical modes. Three of these antisymmetrical modes show period doubling relative to the classical Kármán mode. This doubling arises from the symmetrical perturbation component induced by the cylinder motion at α ± 90°. Synchronization, i.e. phase-locking of the vortex shedding with the cylinder motion, is possible for all of these modes. It occurs even when streamwise (α = 0°) motion induces an antisymmetrical mode.

When synchronization does not occur, there is competition between the symmetrical and antisymmetrical modes; the near-wake structure successively locks-on to each mode over a defined number of cycles, abruptly switching between modes. The number of occurrences of each mode is a well-defined function of excitation frequency and angle α.

If, in contrast to steady-state motion of the cylinder, there is an initial transient motion, the transition between symmetrical and antisymmetrical modes has a markedly different character, emphasizing the importance of initial conditions. Abrupt onset of sinusoidal motion produces an initially synchronized symmetrical mode, which gradually decays to an antisymmetrical mode. The number of excitation cycles to onset of decay to antisymmetrical mode is highly repeatable. Moreover, the mechanism of decay of the near wake from the symmetrical to antisymmetrical mode can occur deterministically over a defined number of cycles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 191 , June 1988 , pp. 225 - 245
Copyright
© 1988 Cambridge University Press

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References

Griffin, O. M. & Ramberg, S. E. 1976 Vortex shedding from a cylinder vibrating in line with an incident uniform flow. J. Fluid Mech. 75, 257–271.Google Scholar
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Ongoren, A. 1986 Unsteady structure and control of near-wake. Ph.D. dissertation, Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania.
Ongoren, A. & Rockwell, D. 1988 Flow structure from an oscillating cylinder. Part 1. Mechanisms of phase shift and recovery in the near wake. J. Fluid Mech. 191, 197–223.Google Scholar