PANGAEA_955328
Routes to turbulence in Taylor–Couette flow
Feldmann, Daniel; Borrero-Echeverry, Daniel; Burin, Michael J; Avila, Kerstin; Avila, Marc
Routes to turbulence in Taylor–Couette flow
2023-02-06
PANGAEA
Dataset
https://doi.pangaea.de/10.1594/PANGAEA.955328
Investigator
Daniel
Feldmann
daniel.feldmann@zarm.uni-bremen.de
Earth Science
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Figure
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Description
geoscientificInformation
dynamical systems
pattern formation
transition to turbulence
Complete
unrestricted
CC-BY-4.0: Creative Commons Attribution 4.0 International
English
PANGAEA
Data Publisher for Earth & Environmental Science
https://www.pangaea.de/
Data Center Contact
Michael
Diepenbroek
info@pangaea.de
Leobener Str.
Bremen
Bremen
28359
Germany
online
122 data points
text/tab-separated-values
Feldmann, Daniel; Borrero-Echeverry, Daniel; Burin, Michael J; Avila, Kerstin; Avila, Marc (accepted): Routes to turbulence in Taylor-Couette flow. arXiv, https://doi.org/10.48550/arXiv.2209.04921
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. ** For all details see the full metadata description at "https://doi.pangaea.de/10.1594/PANGAEA.955328"!
https://doi.org/10.48550/arXiv.2209.04921
Routes to turbulence in Taylor-Couette flow
DIF
9.4
2023-02-06
2026-07-15