Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Center of Applied Space Technology and Microgravity ZARM https://www.zarm.uni-bremen.de/de/ Borrero-Echeverry Daniel Burin Michael J Avila Kerstin Avila Marc marc.avila@zarm.uni-bremen.de 0000-0001-5988-1090 Center of Applied Space Technology and Microgravity ZARM https://www.zarm.uni-bremen.de/de/ 2023 Routes to turbulence in Taylor–Couette flow dataset https://doi.org/10.1594/PANGAEA.955328 2023-02-06T13:07:52 Fluid flows between rotating concentric cylinders exhibit two distinct routes to turbulence. In flows dominated by inner-cylinder rotation, a sequence of linear instabilities leads to temporally chaotic dynamics as the rotation speed is increased. The resulting flow patterns occupy the whole system and sequentially lose spatial symmetry and coherence in the transition process. In flows dominated by outercylinder rotation, the transition is abrupt and leads directly to turbulent flow regions that compete with laminar ones. We here review the main features of these two routes to turbulence. Bifurcation theory rationalises the origin of temporal chaos in both cases. However, the catastrophic transition of flows dominated by outer-cylinder rotation can only be understood by accounting for the spatial proliferation of turbulent regions with a statistical approach. We stress the role of the rotation number (the ratio of Coriolis to inertial forces) and show that it determines the lower border for the existence of intermittent laminar-turbulent patterns. Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Borrero-Echeverry Daniel Burin Michael J Avila Kerstin Avila Marc marc.avila@zarm.uni-bremen.de 0000-0001-5988-1090 accepted Routes to turbulence in Taylor-Couette flow arXiv https://doi.org/10.48550/arXiv.2209.04921 not specified 122 CC-BY-4.0 Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/ Binary Object Binary Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Binary Figure Fig Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Fig Title Title Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Title Binary Object (File Size) Binary (Size) Bytes Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Binary (Size) [Bytes] File name File name Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 File name Variable Variable variable Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Variable File format File format Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 File format Description Description description Feldmann Daniel daniel.feldmann@zarm.uni-bremen.de 0000-0002-6585-2875 Description CurationLevelC Enhanced curation https://wiki.pangaea.de/wiki/Curation_levels ProcLevel2 PANGAEA data processing level 2 https://wiki.pangaea.de/wiki/Processing_levels#PANGAEA_data_processing_level_2 citable dynamical systems pattern formation transition to turbulence ZARM author70363 author70364 author97990 author97991 author97993 curlevel30 inst20763 license21 param108501 param146419 param16143 param25541 param50001 param7055 param96152 pi70363 proclevel30 ref117382 term2663220 term40710 term67823 term71280 term72067 term72068 topotype1