Routes to turbulence in Taylor–Couette flow

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Autori principali: Feldmann, Daniel, Borrero-Echeverry, Daniel, Burin, Michael J, Avila, Kerstin, Avila, Marc
Natura: Dataset Open Access
Lingua:en
Pubblicazione: PANGAEA 2023
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author Feldmann, Daniel
Borrero-Echeverry, Daniel
Burin, Michael J
Avila, Kerstin
Avila, Marc
author_facet Feldmann, Daniel
Borrero-Echeverry, Daniel
Burin, Michael J
Avila, Kerstin
Avila, Marc
collection Datos científicos de ciencias marinas y ambientales
contents 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.
format Dataset Open Access
id pangaea_https___doi_org_10_1594_PANGAEA_955328
institution PANGAEA
language en
publishDate 2023
publisher PANGAEA
record_format pangaea
spellingShingle Routes to turbulence in Taylor–Couette flow
Feldmann, Daniel
Borrero-Echeverry, Daniel
Burin, Michael J
Avila, Kerstin
Avila, Marc
Binary Object; Binary Object (File Size); Description; dynamical systems; Figure; File format; File name; pattern formation; Title; transition to turbulence; Variable
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.
title Routes to turbulence in Taylor–Couette flow
topic Binary Object; Binary Object (File Size); Description; dynamical systems; Figure; File format; File name; pattern formation; Title; transition to turbulence; Variable
url https://doi.org/10.1594/PANGAEA.955328