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  • Journal of Fluid Mechanics, Volume 642
  • January 2010, pp. 477-487

Effect of confinement on three-dimensional stability in the wake of a circular cylinder

  • DOI:
  • Published online: 23 December 2009

This paper investigates the three-dimensional stability of the wake behind a symmetrically confined circular cylinder by a linear stability analysis. Emphasis has been placed on discussing analogies and differences with the unconfined case to highlight the role of the inversion of the von Kármán street in the nature of the three-dimensional transition. Indeed, in this flow, the vortices of opposite sign that are alternately shed from the body into the wake cross the symmetry line further downstream and they assume a final configuration which is inverted with respect to the unconfined case. It is shown that the transition to a three-dimensional state has the same space–time symmetries of the unconfined case, although the shape of the linearly unstable modes is affected by the inversion of the wake vortices. A possible interpretation of this result is given here.

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D. Barkley 2005 Confined three-dimensional stability analysis of the cylinder wake. Phys. Rev. E 71, 017301.

F. Rehimi , F. Aloui , S. B. Nasrallah , L. Doubliez & J. Legrand 2008 Experimental investigation of a confined flow downstream of a circular cylinder centred between two parallel walls. J. Fluids Struct. 24 (6), 885–882.

M. Sahin & R. G. Owens 2004 A numerical investigation of wall effects up to high blockage ratios on two-dimensional flow past a confined circular cylinder. Phys. Fluids 16 (5), 13051320.

H. Suzuki , Y. Inoue , T. Nishimura , K. Fukutani & K. Suzuki 1993 Unsteady flow in a channel obstructed by a square rod (crisscross motion of vortex). Int. J. Heat Fluid Flow 14 (1), 29.

M. C. Thompson , T. Leweke & C. H. K. Williamson 2001 The phyisical mechanism of transition in bluff body wakes. J. Fluids Struct. 15, 607616.

C. H. K. Williamson 1988 The existence of two stages in the transition to three-dimensionality of a cylinder wake. Phys. Fluids 31 (11), 31653168.

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Journal of Fluid Mechanics
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