Thermoelectric convection in a dielectric liquid inside a cylindrical annulus with a solid-body rotation

Changwoo Kang, Antoine Meyer, Harunori N. Yoshikawa, and Innocent Mutabazi
Phys. Rev. Fluids 4, 093502 – Published 24 September 2019

Abstract

The flow stability of a dielectric fluid confined in the cylindrical annulus is investigated by linear stability analysis and direct numerical simulations. The annulus is in solid-body rotation about its axis and it is subject to a radial temperature gradient and a high-frequency electric tension, which produce a radial dielectrophoretic force. We analyze the effects of the rotation of the annulus on the thermoelectric convection and of the alternating electric tension on the onset of the rotation-induced thermal convection. Critical states are predicted by linear stability analysis for different values of the rotation rate of the cylindrical annulus and of the electric tension. Direct numerical simulations allow for the validation of the critical states, for the determination of their bifurcation nature, and for the visualization of instantaneous velocity and temperature fields.

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  • Received 8 May 2019

DOI:https://doi.org/10.1103/PhysRevFluids.4.093502

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsNonlinear DynamicsGeneral PhysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Changwoo Kang1,*, Antoine Meyer1,†, Harunori N. Yoshikawa2, and Innocent Mutabazi1,‡

  • 1Normandie Université, UNIHAVRE, CNRS, Laboratoire Ondes et Milieux Complexes (LOMC), UMR 6294, 53 Rue de Prony, CS 80540, 76058 Le Havre CEDEX, France
  • 2Université de Côte d’Azur, CNRS UMR 7010, Institut de Physique de Nice, 06100 Nice, Nice, France

  • *Present address: Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 W. Taylor Street, Chicago, IL 60607, USA.
  • Present address: Department of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology, Cottbus-Senftenberg, Siemens-Halske-Ring 14, 03046 Cottbus, Germany.
  • Corresponding author: innocent.mutabazi@univ-lehavre.fr

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Issue

Vol. 4, Iss. 9 — September 2019

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