Three-dimensional vortex structures in a cylinder wake

J. Wu, J. Sheridan, M. C. Welsh, K. Hourigan

Research output: Contribution to journalArticleResearchpeer-review

Abstract

The three-dimensionality of the velocity field in the wake of a circular cylinder has excited considerable interest and debate over the past decade. Presented here are experimental results that characterize the underlying vorticity field of such wakes. Using particle image velocimetry (PIV), instantaneous velocity fields were measured and from these the vorticity of the longitudinal vortices lying in the region between Kármán vortices was found. Near the saddle point, induced by the stretching of the Kármán vortices, the vorticity of the longitudinal vortices was found to be greater than the Kármán vortices themselves. Their circulation was of the order of 10% of the Kármán vortices. The high levels of vorticity result from the stretching of the longitudinal vortices, as evident in the topology of the vortices. It is shown that the longitudinal vortices are locked in phase to the Kármán vortices, effectively riding on their backs in the braid region. While only one mode of longitudinal vortex formation was observed, evidence was found of a step change in the vorticity levels at a Reynolds number of approximately 200. This is consistent with the transition point between the two modes of vortex shedding shown to exist by Williamson (1988). It had previously been proposed that the observed vortex patterns were consistent with the evolution of the longitudinal vortices from perturbations of vortex lines in the separating shear layer which experience self-induction and stretching from the Kármán vortices. Evidence is presented that supports this model.

Original languageEnglish
Pages (from-to)201-222
Number of pages22
JournalJournal of Fluid Mechanics
Volume312
DOIs
Publication statusPublished - 10 Apr 1996

Cite this

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title = "Three-dimensional vortex structures in a cylinder wake",
abstract = "The three-dimensionality of the velocity field in the wake of a circular cylinder has excited considerable interest and debate over the past decade. Presented here are experimental results that characterize the underlying vorticity field of such wakes. Using particle image velocimetry (PIV), instantaneous velocity fields were measured and from these the vorticity of the longitudinal vortices lying in the region between K{\'a}rm{\'a}n vortices was found. Near the saddle point, induced by the stretching of the K{\'a}rm{\'a}n vortices, the vorticity of the longitudinal vortices was found to be greater than the K{\'a}rm{\'a}n vortices themselves. Their circulation was of the order of 10{\%} of the K{\'a}rm{\'a}n vortices. The high levels of vorticity result from the stretching of the longitudinal vortices, as evident in the topology of the vortices. It is shown that the longitudinal vortices are locked in phase to the K{\'a}rm{\'a}n vortices, effectively riding on their backs in the braid region. While only one mode of longitudinal vortex formation was observed, evidence was found of a step change in the vorticity levels at a Reynolds number of approximately 200. This is consistent with the transition point between the two modes of vortex shedding shown to exist by Williamson (1988). It had previously been proposed that the observed vortex patterns were consistent with the evolution of the longitudinal vortices from perturbations of vortex lines in the separating shear layer which experience self-induction and stretching from the K{\'a}rm{\'a}n vortices. Evidence is presented that supports this model.",
author = "J. Wu and J. Sheridan and Welsh, {M. C.} and K. Hourigan",
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Three-dimensional vortex structures in a cylinder wake. / Wu, J.; Sheridan, J.; Welsh, M. C.; Hourigan, K.

In: Journal of Fluid Mechanics, Vol. 312, 10.04.1996, p. 201-222.

Research output: Contribution to journalArticleResearchpeer-review

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