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Updated: Aug 11, 2026

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Competition between traveling fluid waves of left and right spiral vortices and their different amplitude
A Pinter1, M Lücke, Ch Hoffmann
1Institut für Theoretische Physik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germany.
Abstract:
Stability, bifurcation properties, and the spatiotemporal behavior of different nonlinear combination structures of spiral vortices in the counterrotating 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 counterpropagating wave states of pure spirals and the axially standing waves of so-called ribbons that become stable slightly farther away from the onset of vortex flow.
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