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Electromagnetically driven anticyclonic rotation in spherical Couette flow

Published online by Cambridge University Press:  24 April 2023

D. Proal Open the ORCID record for D. Proal [Opens in a new window] ,
D.R. Domínguez-Lozoya Open the ORCID record for D.R. Domínguez-Lozoya [Opens in a new window] ,
A. Figueroa Open the ORCID record for A. Figueroa [Opens in a new window] ,
M. Rivero Open the ORCID record for M. Rivero [Opens in a new window] ,
S. Piedra Open the ORCID record for S. Piedra [Opens in a new window]  and
J. Núñez Open the ORCID record for J. Núñez [Opens in a new window]
D. Proal
Affiliation:
Instituto de Investigación en Ciencias Básicas y Aplicadas – Universidad Autónoma del Estado de Morelos, Cuernavaca, Morelos 62209, Mexico
D.R. Domínguez-Lozoya
Affiliation:
Instituto de Energías Renovables – Universidad Nacional Autónoma de Mexico, Temixco, Morelos 62209, Mexico
A. Figueroa*
Affiliation:
CONACYT-Centro de Investigación en Ciencias-Universidad Autónoma del Estado de Morelos, Cuernavaca, Morelos 62209, Mexico
M. Rivero
Affiliation:
Instituto de Investigaciones en Materiales, Unidad Morelia, Universidad Nacional Autónoma de México, 58190 Morelia, Michoacán, Mexico
S. Piedra
Affiliation:
CONACYT – Centro de Ingeniería y Desarrollo Industrial, Querétaro, Querétaro 76270, Mexico
J. Núñez
Affiliation:
Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, 58190 Morelia, Michoacán, Mexico
*
†Email address for correspondence: alfil@uaem.mx
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Abstract

The electromagnetically driven anticyclonic flow in the wide gap of a rotating concentric spheres system is studied experimentally and numerically in the laminar regime. The working fluid is an electrolyte contained in the spherical gap. The outer sphere rotates at constant angular speed, and the inner sphere is at rest. The electromagnetic stirring is generated due to the interaction of a direct current, which is injected radially through ring-shaped electrodes located at the equatorial zone of each sphere, and a dipolar magnetic field produced by a permanent magnet located inside the inner sphere. Experimental velocity fields in the equatorial plane were obtained with particle image velocimetry. Additionally, full three-dimensional numerical simulations were performed. The high shearing at the equatorial region promotes an instability that can be perceived as a triggering mechanism of four tornado-like vortical structures tilted and entangled in the polar direction. The instability structure rotates in either the cyclonic or the anticyclonic direction, depending on the flow parameters, namely, the angular velocity of the outer sphere and the applied electric current. To the best knowledge of the authors, this is the first time the phenomenon under study is reported with electromagnetic forcing. The numerical results agree quantitatively with the experimental observations.

JFM classification

Geophysical and Geological Flows: Rotating flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 961 , 25 April 2023 , A25
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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