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Vortex shedding patterns, their competition, and chaos in flow past inline oscillating rectangular cylinders

2010/12/10 by Srikanth Toppaladoddi, Toppaladoddi, Srikanth, Harish N Dixit +6
Earth and Planetary Sciences · Engineering · Environmental Science · Physics and Astronomy · #Fluid Dynamics and Vibration Analysis #Tropical and Extratropical Cyclones Research #Wind and Air Flow Studies #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1012.2369

Submitted to the Physics of Fluids

arxiv created 2010/12/10 · arxiv updated 2010/12/13

Abstract

The flow past inline oscillating rectangular cylinders is studied numerically at a Reynolds number representative of two-dimensional flow. A symmetric mode, known as S-II, consisting of a pair of oppositely-signed vortices on each side, observed recently in experiments, is obtained computationally. A new symmetric mode, named here as S-III, is also found. At low oscillation amplitudes, the vortex shedding pattern transitions from antisymmetric to symmetric smoothly via a regime of intermediate phase. At higher amplitudes, this intermediate regime is chaotic. The finding of chaos extends and complements the recent work of Perdikaris et al. [1]. Moreover it shows that the chaos results from a competition between antisymmetric and symmetric shedding modes. Rectangular cylinders rather than square are seen to facilitate these observations. A global, and very reliable, measure is used to establish the existence of chaos.

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