Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation

J. A. P. Aranha, K. P. Burr, I. C. Barbeiro, I. Korkischko and J. R. Meneghini

Mathematical Problems in Engineering, 2009, vol. 2009, 1-16

Abstract:

This paper presents a short overview of the flow around a slender circular cylinder, the purpose being to place it within the frame of the distributed Hopf bifurcation problems described by the Ginzburg-Landau equation (GLE). In particular, the chaotic behavior superposed to a well tuned harmonic oscillation observed in the range Re > 270, with Re being the Reynolds number, is related to the defect-chaos regime of the GLE. Apparently new results, related to a Kolmogorov like length scale and the rms of the response amplitude, are derived in this defect-chaos regime and further related to the experimental rms of the lift coefficient measured in the range Re > 270.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:526945

DOI: 10.1155/2009/526945

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