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Competition between Traveling Fluid Waves of Left and Right Spiral Vortices and Their Different Amplitude Combinations

A. Pinter, M. Lücke, Ch. Hoffmann

physics.flu-dynarXiv:physics/0512215

Abstract

Stability, bifurcation properties, and the spatiotemporal behavior of different nonlinear combination structures of spiral vortices in the counter rotating Taylor-Couette system are investigated by full numerical simulations and by coupled amplitude equation approximations. Stable cross-spiral structures with continuously varying content of left and right spiral modes are found. They provide a stability transferring connection between the initially stable, axially counter propagating wave states of pure spirals and the axially standing waves of so-called ribbons that become stable slightly further away from onset of vortex flow.

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