The stability of the flow of a dielectric fluid confined in a cylindrical annulus submitted to a radial temperature gradient and a radial electric field is investigated theoretically and experimentally. The radial temperature gradient induces a vertical Archimedean buoyancy and a radial dielectrophoretic buoyancy. These two forces intervene simultaneously in the destabilization of the flow, leading to the occurrence of four types of modes depending on the relative intensity of these two buoyancies and on the fluid's properties: hydrodynamic and thermal modes that are axisymmetric and oscillatory, stationary columnar modes and electric modes which are stationary and non-axisymmetric modes. Experiments performed in a parabolic flight show the existence of non-axisymmetric modes that should be either columnar or helicoidal vortices.
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Antoine Meyer 1 ; Marcel Jongmanns 2 ; Martin Meier 2 ; Christoph Egbers 2 ; Innocent Mutabazi 1
@article{CRMECA_2017__345_1_11_0, author = {Antoine Meyer and Marcel Jongmanns and Martin Meier and Christoph Egbers and Innocent Mutabazi}, title = {Thermal convection in a cylindrical annulus under a combined effect of the radial and vertical gravity}, journal = {Comptes Rendus. M\'ecanique}, pages = {11--20}, publisher = {Elsevier}, volume = {345}, number = {1}, year = {2017}, doi = {10.1016/j.crme.2016.10.003}, language = {en}, }
TY - JOUR AU - Antoine Meyer AU - Marcel Jongmanns AU - Martin Meier AU - Christoph Egbers AU - Innocent Mutabazi TI - Thermal convection in a cylindrical annulus under a combined effect of the radial and vertical gravity JO - Comptes Rendus. Mécanique PY - 2017 SP - 11 EP - 20 VL - 345 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2016.10.003 LA - en ID - CRMECA_2017__345_1_11_0 ER -
%0 Journal Article %A Antoine Meyer %A Marcel Jongmanns %A Martin Meier %A Christoph Egbers %A Innocent Mutabazi %T Thermal convection in a cylindrical annulus under a combined effect of the radial and vertical gravity %J Comptes Rendus. Mécanique %D 2017 %P 11-20 %V 345 %N 1 %I Elsevier %R 10.1016/j.crme.2016.10.003 %G en %F CRMECA_2017__345_1_11_0
Antoine Meyer; Marcel Jongmanns; Martin Meier; Christoph Egbers; Innocent Mutabazi. Thermal convection in a cylindrical annulus under a combined effect of the radial and vertical gravity. Comptes Rendus. Mécanique, Volume 345 (2017) no. 1, pp. 11-20. doi : 10.1016/j.crme.2016.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.10.003/
[1] Effect of dielectrophoretic force on the Bénard instability, Phys. Fluids, Volume 12 (1969), p. 1809
[2] Dielectrophoretic force-driven thermal convection in annular geometry, Phys. Fluids, Volume 25 (2013)
[3] A laboratory model of thermal convection under a central force field, Geophys. Fluid Dyn., Volume 3 (1972), pp. 211-224
[4] Numerical investigation of the heat transfer in cylindrical annulus with a dielectric fluid under microgravity, Phys. Fluids, Volume 27 (2015)
[5] First identification of sub- and supercritical convection patterns from ‘GeoFlow,’ the geophysical flow simulation experiment integrated in Fluid Science Laboratory, Acta Astronaut., Volume 66 (2010), p. 193
[6] Sheet-like and plume-like thermal flow in a spherical convection experiment performed under microgravity, J. Fluid Mech., Volume 735 (2013), p. 647
[7] Influence of the dielectrophoretic force on thermal convection, Exp. Fluids, Volume 34 (2003), p. 24
[8] J. Phys. Conf. Ser., 318 (2011)
[9] Electrodynamics of Continuous Media, Landau and Lifshitz Course of Theoretical Physics, vol. 8, Elsevier Butterworth–Heinemann, Burlington, MA, 1984
[10] Codimension 2 points in the flow inside a cylindrical annulus with a radial temperature gradient, Eur. Phys. J. Appl. Phys., Volume 9 (2000), pp. 253-264
[11] Natural convection between concentric vertical cylinders, Phys. Fluids, Volume 12 (1969) no. Suppl. II, pp. 198-207
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