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Numerical simulations of swirling electrovortex flows in cylinders

Published online by Cambridge University Press:  25 October 2022

S. Bénard Open the ORCID record for S. Bénard [Opens in a new window] ,
W. Herreman Open the ORCID record for W. Herreman [Opens in a new window] ,
J.L. Guermond  and
C. Nore Open the ORCID record for C. Nore [Opens in a new window]
S. Bénard*
Affiliation:
Université Paris-Saclay, CNRS, LISN, 91400 Orsay, France
W. Herreman
Affiliation:
Université Paris-Saclay, CNRS, LISN, 91400 Orsay, France
J.L. Guermond
Affiliation:
Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843-3368, USA
C. Nore
Affiliation:
Université Paris-Saclay, CNRS, LISN, 91400 Orsay, France
*
†Email address for correspondence: [email protected]
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Abstract

We study swirling electrovortex flows in a cylinder filled with GaInSn metal using axisymmetric and large-scale three-dimensional numerical simulations. In our set-up electrical currents enter and exit the cell symmetrically through wires and the result is a von Kármán-like flow. Three inductionless and an inductive flow regimes are identified. Scaling laws for the magnitude of the velocity in each of these regimes are obtained both numerically and explained theoretically. We study how the aspect ratio of the cell affects the flow and how symmetrically wired cells are different from asymmetrical wired cells. We vary the radius of the connecting wires and propose a simple model that captures how the flow's intensity varies with the wire radius.

JFM classification

MHD and Electrohydrodynamics: Magnetic fluids Instability: Transition to turbulence Mixing: Turbulent mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 950 , 10 November 2022 , A28
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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