Wave-number dependence of the transitions between traveling and standing vortex waves and their mixed states in the Taylor-Couette system

Abstract

Previous numerical investigations of the stability and bifurcation properties of different nonlinear combination structures of spiral vortices in a counterrotating Taylor-Couette system that were done for fixed axial wavelengths are supplemented by exploring the dependence of the vortex phenomena waves on their wavelength. This yields information about the experimental and numerical accessability of the various bifurcation scenarios. Also backwards bifurcating standing waves with oscillating amplitudes of the constituent traveling waves are found.

arXiv comment4 pages, 5 figures

References in corpus (4)

• Spiral Vortices and Taylor Vortices in the Annulus between Rotating Cylinders and the Effect of an Axial Flow
• Competition between Traveling Fluid Waves of Left and Right Spiral Vortices and Their Different Amplitude Combinations
• Spiral and Taylor vortex fronts and pulses in axial through-flow
• Controlling the stability transfer between oppositely traveling waves and standing waves by inversion-symmetry-breaking perturbations

Cited by in corpus (3)

• End-wall effects on the transition between Taylor vortices and spiral vortices
• Spirals and ribbons in counter-rotating Taylor-Couette flow: frequencies from mean flows and heteroclinic orbits
• Bifurcation of standing waves into a pair of oppositely traveling waves with oscillating amplitudes caused by a three-mode interaction