Bifurcations in the wake of a thick circular disk

Using DNS, we investigate the dynamics in the wake of a circular disk of aspect ratio χ = d / w = 3 (where d is the diameter and w the thickness) embedded in a uniform flow of magnitude U 0 perpendicular to its symmetry axis. As the Reynolds number Re = U 0 d / ν is increased, the flow is shown to e...

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Bibliographic Details
Published inTheoretical and computational fluid dynamics Vol. 24; no. 1-4; pp. 305 - 313
Main Authors Auguste, Franck, Fabre, David, Magnaudet, Jacques
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.03.2010
Springer
Springer Nature B.V
Springer Verlag
Subjects
Bifurcations
Classical and Continuum Physics
Computational fluid dynamics
Computational Science and Engineering
Disks
Engineering
Engineering Fluid Dynamics
Engineering Sciences
Fluid flow
Fluid mechanics
Fluids mechanics
Mechanics
Physics
Reynolds number
Special Issue Original Article
Symmetry
Uniform flow
Wakes
Bifurcation theory
47.15. Fe Stability of laminar flows
47.10. Fg Dynamical systems methods
Wake instabilities
47.15. Tr Laminar wakes
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Summary:Using DNS, we investigate the dynamics in the wake of a circular disk of aspect ratio χ = d / w = 3 (where d is the diameter and w the thickness) embedded in a uniform flow of magnitude U 0 perpendicular to its symmetry axis. As the Reynolds number Re = U 0 d / ν is increased, the flow is shown to experience an original series of bifurcations leading to chaos. The range Re [150, 218] is analysed in detail. In this range, five different non-axisymmetric regimes are successively encountered, including states similar to those previously identified in the flow past a sphere or an infinitely thin disk, as well as a new regime characterised by the presence of two distinct frequencies. A theoretical model based on the theory of mode interaction with symmetries, previously introduced to explain the bifurcations in the flow past a sphere or an infinitely thin disk (Fabre et al. in Phys Fluids 20:051702, 2008), is shown to explain correctly all these results. Higher values of the Reynolds number, up to 270, are also considered. Results indicate that the flow encounters at least four additional bifurcations before reaching a chaotic state.
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ISSN:0935-4964
1432-2250
DOI:10.1007/s00162-009-0144-3