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1/f noise and long-term memory of coherent structures in a turbulent shear flow

Type
Articles dans des revues avec comité de lecture
Author
PEREIRA, M.
134975 Laboratoire de Dynamique des Fluides [DynFluid]
556928 Laboratoire de physique de l'ENS - ENS Paris [LPENS (UMR_8023)]
GISSINGER, C.
556928 Laboratoire de physique de l'ENS - ENS Paris [LPENS (UMR_8023)]
FAUVE, S.
556928 Laboratoire de physique de l'ENS - ENS Paris [LPENS (UMR_8023)]

URI
http://hdl.handle.net/10985/18010
DOI
10.1103/physreve.99.023106
Date
2019
Journal
Physical Review E

Abstract

A shear flow of liquid metal (Galinstan) is driven in an annular channel by counter-rotating traveling magnetic fields imposed at the endcaps. When the traveling velocities are large, the flow is turbulent and its azimuthal component displays random reversals. Power spectra of the velocity field exhibit a 1/ f α power law on several decades and are related to power-law probability distributions P(τ) ∼ τ−β of the waiting times between succes-sive reversals. This 1/ f type spectrum is observed only when the Reynolds number is large enough. In addition, the exponents α and β are controlled by the symmetry of the system : a continuous transition between two different types of Flicker noise is observed as the equatorial symmetry of the flow is broken, in agreement with theoretical predictions.

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