End-wall effects on the transition between Taylor vortices and spiral vortices
arXiv:0909.1143 · doi:10.1103/PhysRevE.81.066313
Abstract
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.
6 figures
References in corpus (6)
- Spiral Vortices and Taylor Vortices in the Annulus between Rotating Cylinders and the Effect of an Axial Flow
- Spiral vortices traveling between two rotating defects in the Taylor-Couette system
- Competition between Traveling Fluid Waves of Left and Right Spiral Vortices and Their Different Amplitude Combinations
- Wave-number dependence of the transitions between traveling and standing vortex waves and their mixed states in the Taylor-Couette system
- Bifurcation of standing waves into a pair of oppositely traveling waves with oscillating amplitudes caused by a three-mode interaction
- Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations