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

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

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 os...

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Main Authors: J. A. P. Aranha, K. P. Burr, I. C. Barbeiro, I. Korkischko, J. R. Meneghini
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2009/526945
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spelling doaj-fc4f0df68ffc412ca9335d3f329a395f2020-11-24T22:09:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472009-01-01200910.1155/2009/526945526945Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf BifurcationJ. A. P. Aranha0K. P. Burr1I. C. Barbeiro2I. Korkischko3J. R. Meneghini4Nucleus of Dynamics and Fluids (NDF), Mechanical Engineering, University of Sao Paulo, Sao Paulo, BrazilNucleus of Dynamics and Fluids (NDF), Mechanical Engineering, University of Sao Paulo, Sao Paulo, BrazilNucleus of Dynamics and Fluids (NDF), Mechanical Engineering, University of Sao Paulo, Sao Paulo, BrazilNucleus of Dynamics and Fluids (NDF), Mechanical Engineering, University of Sao Paulo, Sao Paulo, BrazilNucleus of Dynamics and Fluids (NDF), Mechanical Engineering, University of Sao Paulo, Sao Paulo, BrazilThis 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.http://dx.doi.org/10.1155/2009/526945
collection DOAJ
language English
format Article
sources DOAJ
author J. A. P. Aranha
K. P. Burr
I. C. Barbeiro
I. Korkischko
J. R. Meneghini
spellingShingle J. A. P. Aranha
K. P. Burr
I. C. Barbeiro
I. Korkischko
J. R. Meneghini
Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
Mathematical Problems in Engineering
author_facet J. A. P. Aranha
K. P. Burr
I. C. Barbeiro
I. Korkischko
J. R. Meneghini
author_sort J. A. P. Aranha
title Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
title_short Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
title_full Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
title_fullStr Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
title_full_unstemmed Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation
title_sort flow around a slender circular cylinder: a case study on distributed hopf bifurcation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2009-01-01
description 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.
url http://dx.doi.org/10.1155/2009/526945
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AT ikorkischko flowaroundaslendercircularcylinderacasestudyondistributedhopfbifurcation
AT jrmeneghini flowaroundaslendercircularcylinderacasestudyondistributedhopfbifurcation
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