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Thermoelectrohydrodynamic convection in a finite cylindrical annulus under microgravity

Published online by Cambridge University Press:  20 August 2024

Changwoo Kang*
Affiliation:
Department of Mechanical Engineering, Jeonbuk National University, 567 Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54896, Republic of Korea Laboratoire Ondes et Milieux Complexes (LOMC), UMR 6294, Normandie Université, UNIHAVRE, CNRS-Université du Havre, 53 Rue de Prony, CS 80540, 76058 Le Havre CEDEX, France Laboratory for Renewable Energy and Sector Coupling, 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, 76058 Le Havre CEDEX, France
Harunori N. Yoshikawa
Affiliation:
Université Côte d'Azur, CNRS UMR 7010, Institut de Physique de Nice, 06100 Nice, France
*
Email address for correspondence: changwoo.kang@jbnu.ac.kr

Abstract

Numerical simulations of thermoelectrohydrodynamic convection in a dielectric liquid inside a finite-length cylindrical annulus with a fixed temperature difference have been performed with increasing high-frequency electric tension under microgravity conditions. The electric field, coupled with the permittivity gradient, generates a dielectrophoretic buoyancy force whose non-conservative part can induce thermoelectric convection in the liquid. The liquid remains in a conductive state below a critical value of the applied electric voltage. At a critical value, a supercritical bifurcation occurs from the conductive state to a convective state made of stationary helicoidal vortices. A further increase of electric voltage leads to oscillatory helicoidal vortices and then to wavy patterns before spoke patterns dominate the convective flow. The dielectrophoretic force is shown to enhance the heat transfer from the hot to cold walls due to induced convective flows. Particularly, these results demonstrate that the dielectrophoretic buoyancy force holds promise to replace the gravitational force to induce efficient heat transfer in microgravity conditions, and they contribute to a better fundamental understanding of heat transfer in microgravity.

Type
JFM Papers
Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Footnotes

Present address: Faculty of science and engineering, Doshisha University, 1–3 Tatara Miyakodani, Kyotanabe-shi, Kyoto 610-0321, Japan

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Supplementary material: File

Kang et al. supplementary movie 1

Contours of the temperature (θ) at the central surface (x = 0.5) for VE = 1000.
Download Kang et al. supplementary movie 1(File)
File 607.2 KB
Supplementary material: File

Kang et al. supplementary movie 2

Contours of the radial velocity component (ur) at the central surface (x = 0.5) for VE = 1000.
Download Kang et al. supplementary movie 2(File)
File 685.3 KB
Supplementary material: File

Kang et al. supplementary movie 3

Contours of the iso-value of Q = 0.6 at the central surface (x = 0.5) for VE = 1000.
Download Kang et al. supplementary movie 3(File)
File 1 MB
Supplementary material: File

Kang et al. supplementary movie 4

Iso-surface of Q = 0.6 for VE = 1000.
Download Kang et al. supplementary movie 4(File)
File 1.1 MB
Supplementary material: File

Kang et al. supplementary movie 5

Contours of the temperature (θ) at the central surface (x = 0.5) for VE = 1500.
Download Kang et al. supplementary movie 5(File)
File 698 KB
Supplementary material: File

Kang et al. supplementary movie 6

Contours of the radial velocity component (ur) at the central surface (x = 0.5) for VE = 1500.
Download Kang et al. supplementary movie 6(File)
File 1 MB
Supplementary material: File

Kang et al. supplementary movie 7

Contours of the iso-value of Q = 1.5 at the central surface (x = 0.5) for VE = 1500.
Download Kang et al. supplementary movie 7(File)
File 3.1 MB
Supplementary material: File

Kang et al. supplementary movie 8

Iso-surface of Q = 1.5 for VE = 1500.
Download Kang et al. supplementary movie 8(File)
File 4.1 MB
Supplementary material: File

Kang et al. supplementary movie 9

Contours of the temperature (θ) at the central surface (x = 0.5) for VE = 2000.
Download Kang et al. supplementary movie 9(File)
File 1.8 MB
Supplementary material: File

Kang et al. supplementary movie 10

Contours of the radial velocity component (ur) at the central surface (x = 0.5) for VE = 2000.
Download Kang et al. supplementary movie 10(File)
File 2 MB
Supplementary material: File

Kang et al. supplementary movie 11

Contours of the iso-value of Q = 3 at the central surface (x = 0.5) for VE = 2000.
Download Kang et al. supplementary movie 11(File)
File 4.3 MB
Supplementary material: File

Kang et al. supplementary movie 12

Iso-surface of Q = 3 for VE = 2000.
Download Kang et al. supplementary movie 12(File)
File 2.8 MB
Supplementary material: File

Kang et al. supplementary movie 13

Contours of the temperature (θ) at the central surface (x = 0.5) for VE = 3000.
Download Kang et al. supplementary movie 13(File)
File 977.7 KB
Supplementary material: File

Kang et al. supplementary movie 14

Contours of the radial velocity component (ur) at the central surface (x = 0.5) for VE = 3000.
Download Kang et al. supplementary movie 14(File)
File 1.2 MB
Supplementary material: File

Kang et al. supplementary movie 15

Iso-surface of Q = 10 for VE = 3000.
Download Kang et al. supplementary movie 15(File)
File 5.2 MB
Supplementary material: File

Kang et al. supplementary movie 16

The contours of temperature (θ) at the central surface (x = 0.5) for VE = 4000.
Download Kang et al. supplementary movie 16(File)
File 1.7 MB
Supplementary material: File

Kang et al. supplementary movie 17

The contours of temperature (θ) at the central surface (x = 0.5) for VE = 5000.
Download Kang et al. supplementary movie 17(File)
File 3 MB
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Kang et al. supplementary movie 18

The three-dimensional vortical structures for VE = 4000 (Q = 20).
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File 1.2 MB
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Kang et al. supplementary movie 19

The three-dimensional vortical structures for VE = 5000 (Q = 30).
Download Kang et al. supplementary movie 19(File)
File 1.5 MB