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Columnar vortices induced by dielectrophoretic force in a stationary cylindrical annulus filled with a dielectric liquid

Published online by Cambridge University Press:  15 December 2020

Changwoo Kang Open the ORCID record for Changwoo Kang [Opens in a new window]  and
Innocent Mutabazi Open the ORCID record for Innocent Mutabazi [Opens in a new window]
Changwoo Kang
Affiliation:
Laboratoire Ondes et Milieux Complexes (LOMC), UMR 6294, Normandie Université, UNIHAVRE, CNRS-Université du Havre, 53 Rue de Prony, CS 80540, 76058Le Havre CEDEX, France Department of Mechanical Engineering, Jeonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54896, Republic of Korea
Innocent Mutabazi*
Affiliation:
Laboratoire Ondes et Milieux Complexes (LOMC), UMR 6294, Normandie Université, UNIHAVRE, CNRS-Université du Havre, 53 Rue de Prony, CS 80540, 76058Le Havre CEDEX, France
*
† Email address for correspondence: innocent.mutabazi@univ-lehavre.fr
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Abstract

The dynamics of flow of a dielectric fluid in a vertical cylindrical annulus with a fixed temperature difference and an increasing alternating electric tension has been investigated using a direct numerical simulation (DNS). The temperature difference imposed on the cylindrical surfaces induces a radial temperature gradient perpendicular to the ground gravity which generates a baroclinic flow ascending near the hot surface and descending near the cold one. The electric field coupled with the permittivity gradient generates a dielectrophoretic buoyancy force which is a source of vorticity. Above a critical value of the electric tension, the flow bifurcates to a pattern of stationary columnar vortices. These columnar vortices which characterize the thermoelectric convection are not axially invariant, in contrast with classical Taylor columns. They bifurcate to regular wave patterns and then to spatio-temporal chaotic patterns when the electric field intensity is increased. The flow and temperature fields, the kinetic energy and the enstrophy of thermoelectric convective regimes are computed for different values of the electric tension.

JFM classification

Complex Fluids: Dielectrics Convection: Buoyancy-driven instability Nonlinear Dynamical Systems: Pattern formation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A26
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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