The three‐dimensional (3‐D) instability of a two‐dimensional (2‐D) flow with elliptical streamlines has been proposed as a generic mechanism for the breakdown of many 2‐D flows. A physical interpretation for the mechanism is presented together with an analytical treatment of the problem. It is shown that the stability of an elliptical flow is governed by an Ince equation. An analytical representation for a localized solution is given and establishes a direct link with previous computations and experiments.
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Research Article| January 01 1990
On the three‐dimensional instability of strained vortices
Fabian Waleffe; On the three‐dimensional instability of strained vortices. Phys. Fluids 1 January 1990; 2 (1): 76–80. https://doi.org/10.1063/1.857682
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