4.7 Article

Bifurcation theory for three-dimensional flow in the wake of a circular cylinder

Journal

PHYSICAL REVIEW E
Volume 61, Issue 5, Pages 5247-5252

Publisher

AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevE.61.5247

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A bifurcation scenario is presented for three-dimensional vortex shedding in the wake of a circular cylinder for Reynolds numbers up to 300. Amplitude equations are proposed to describe the nonlinear interaction between two three-dimensional modes of shedding with different spanwise wave numbers and different spa tiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.

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