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Effect of the number of vortices on the torque scaling in Taylor–Couette flow

Published online by Cambridge University Press:  08 May 2014

B. Martínez-Arias ,
J. Peixinho ,
O. Crumeyrolle  and
I. Mutabazi
B. Martínez-Arias
Affiliation:
Laboratoire Ondes et Milieux Complexes, Université du Havre & CNRS UMR 6294, 53 rue de Prony, 76600 Le Havre, France
J. Peixinho*
Affiliation:
Laboratoire Ondes et Milieux Complexes, Université du Havre & CNRS UMR 6294, 53 rue de Prony, 76600 Le Havre, France
O. Crumeyrolle
Affiliation:
Laboratoire Ondes et Milieux Complexes, Université du Havre & CNRS UMR 6294, 53 rue de Prony, 76600 Le Havre, France
I. Mutabazi
Affiliation:
Laboratoire Ondes et Milieux Complexes, Université du Havre & CNRS UMR 6294, 53 rue de Prony, 76600 Le Havre, France
*
†Email address for correspondence: jorge.peixinho@univ-lehavre.fr
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Abstract

Torque measurements in Taylor–Couette flow, with large radius ratio and large aspect ratio, over a range of velocities up to a Reynolds number of 24 000 are presented. Following a specific procedure, nine states with distinct numbers of vortices along the axis were found and the aspect ratios of the vortices were measured. The relationship between the speed and the torque for a given number of vortices is reported. In the turbulent Taylor vortex flow regime, at relatively high Reynolds number, a change in behaviour is observed corresponding to intersections of the torque–speed curves for different states. Before each intersection, the torque for a state with a larger number of vortices is higher. After each intersection, the torque for a state with a larger number of vortices is lower. The exponent, from the scaling laws of the torque, always depends on the aspect ratio of the vortices. When the Reynolds number is rescaled using the mean aspect ratio of the vortices, only a partial collapse of the exponent data is found.

JFM classification

Turbulent Flows: Rotating turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 748 , 10 June 2014 , pp. 756 - 767
Copyright
© 2014 Cambridge University Press 

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