End-wall effects on the transition between Taylor vortices and spiral vortices

Details End-wall effects on the transition between Taylor vortices and spiral vortices End-wall effects on the transition between Taylor vortices and spiral vortices

2009-09-07

arxiv.org/abs/0909.1143v1

Nonlinear Sciences

Pattern Formation and Solitons

6 figures

Scientific paper

We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, non-rotating end-walls in axial direction. As in the axial periodic case, these transitions are performed by wavy structures appearing via a secondary bifurcation out of Taylor vortices and spirals, respectively. But in the presence of rigid lids, pure spiral solutions do not occur but are substituted by primary bifurcating, stable wavy spiral structures (wSPI). Similarly to the periodic system, we found a transition from Taylor vortices to wSPI mediated by so called wavy Taylor vortices (wTVF) and, on the other hand, a transition from wSPI to TVF triggered by a propagating defect. We furthermore observed and investigated the primary bifurcation of wSPI out of basic Ekman flow.

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