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Numerical study of an oscillating cylinder in uniform flow and in the wake of an upstream cylinder

Published online by Cambridge University Press:  26 April 2006

Jing Li ,
Jiong Sun  and
Bernard Roux
Jing Li
Affiliation:
Institut de Mécanique des Fluides de Marseille-CNRS UM34, 1 Rue Honnorat, 13003 Marseille, France
Jiong Sun
Affiliation:
Laboratoire de Recherche en Combustion, Université d'Aix-Marseille I, Centre de St-Jérôme, Case 252, Avenue Escadrille Normandie Niemen, 13397 Marseille Cedex 13, France
Bernard Roux
Affiliation:
Institut de Mécanique des Fluides de Marseille-CNRS UM34, 1 Rue Honnorat, 13003 Marseille, France
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Abstract

Direct numerical simulation is carried out to study the response of an oscillating cylinder in uniform flow and in the wake of an upstream cylinder. It is found that the response of the cylinder wake is either a periodic (lock-in) or a quasi-periodic (non-lock-in) state. In the lock-in state, the vortex shedding frequency equals the forcing frequency. In the non-lock-in state, the shedding frequency shows a smooth variation with the driving frequency. For a cylinder oscillating in uniform flow, a lock-in diagram of different forcing amplitude is computed. However, no clear chaotic behaviour is detected near the lock-in boundary. For a cylinder oscillating in the wake of an upstream cylinder, the response state is strongly influenced by the distance between the two cylinders. By changing cylinder spacing, two different flow regimes are identified. In the ‘vortex formation regime’, found at large spacings, the vortex street develops behind both the upstream and downstream cylinders. The strength of the naturally produced oscillation upstream of the second cylinder becomes important compared to the forced oscillation and dominates the flow, leading to a very small or even indistinguishable zone of synchronization. However, in the ‘vortex suppression regime’, observed at small spacings, the oncoming flow to the downstream cylinder becomes so weak that it hardly affects its vortex wake, and therefore a large zone of synchronization is obtained. The numerical results are in good agreement with available experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 237 , April 1992 , pp. 457 - 478
Copyright
© 1992 Cambridge University Press

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