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Transition from hydrodynamic turbulence to magnetohydrodynamic turbulence in von Kármán flows

Published online by Cambridge University Press:  09 January 2012

Gautier Verhille*
Affiliation:
Laboratoire de Physique, École Normale Supérieure de Lyon, CNRS UMR 5672 & Université de Lyon, 46 allée d’Italie, F-69364 Lyon CEDEX 07, France Institut de Recherche sur les Phénomènes Hors Équilibre, UMR 6594, CNRS & Aix-Marseille Université, 49 rue F. Joliot-Curie, BP 146, 13384 Marseille CEDEX 13, France
Ruslan Khalilov
Affiliation:
Institute of Continuous Media Mechanics, Korolev 1, Perm 614013, Russia
Nicolas Plihon
Affiliation:
Laboratoire de Physique, École Normale Supérieure de Lyon, CNRS UMR 5672 & Université de Lyon, 46 allée d’Italie, F-69364 Lyon CEDEX 07, France
Peter Frick
Affiliation:
Institute of Continuous Media Mechanics, Korolev 1, Perm 614013, Russia
Jean-François Pinton
Affiliation:
Laboratoire de Physique, École Normale Supérieure de Lyon, CNRS UMR 5672 & Université de Lyon, 46 allée d’Italie, F-69364 Lyon CEDEX 07, France
*
Email address for correspondence: verhille@irphe.univ-mrs.fr

Abstract

The influence of an externally applied magnetic field on flow turbulence is investigated in liquid-gallium von-Kármán (VK) swirling flows. Time-resolved measurements of global variables (such as the flow power consumption) and local recordings of the induced magnetic field are made. From these measurements, an effective Reynolds number is introduced as , so as to take into account the influence of the interaction parameter . This effective magnetic Reynolds number leads to unified scalings for both global variables and the locally induced magnetic field. In addition, when the flow rotation axis is perpendicular to the direction of the applied magnetic field, significant flow and induced magnetic field fluctuations are observed at low interaction parameter values, but corresponding to an Alfvèn speed of the order of the fluid velocity fluctuations . This strong increase in the flow fluctuations is attributed to chaotic changes between hydrodynamic and magnetohydrodynamic velocity profiles.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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