Onset of wavy Taylor vortex flow in finite geometries

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Abstract
The transition from Taylor to wavy vortex flows is described by an amplitude equation for the vortices. In agreement with experimental data, finite-size effects are shown to select azimuthal wave numbers greater than 1 at the onset and to modify the position of the transition. Moreover, the onset of wavy flows is also much more sensitive to end effects than the onset of Taylor vortex flows.