2020
DOI: 10.1017/jfm.2020.843
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Columnar vortices induced by dielectrophoretic force in a stationary cylindrical annulus filled with a dielectric liquid

Abstract: Abstract

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Cited by 7 publications
(10 citation statements)
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References 55 publications
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“…This is the situation we will investigate. Annular tubes are used in other fluid systems (for example, Smedley 1990; Pour & Thiessen 2019; Kang & Mutabazi 2021; Stokes 2021). It is noted that the use of eccentricity can avoid occlusion even at zero Bond number for ranges of radius ratio and eccentricity (Smedley 1990; Pour & Thiessen 2019).…”
Section: Introductionmentioning
confidence: 99%
“…This is the situation we will investigate. Annular tubes are used in other fluid systems (for example, Smedley 1990; Pour & Thiessen 2019; Kang & Mutabazi 2021; Stokes 2021). It is noted that the use of eccentricity can avoid occlusion even at zero Bond number for ranges of radius ratio and eccentricity (Smedley 1990; Pour & Thiessen 2019).…”
Section: Introductionmentioning
confidence: 99%
“…The elimination of the pressure and the use of relations (10) leads to the following system of coupled equations for W , Θ, and Φ:…”
Section: Substitution Into the Linearized Equation Leads To Ilmentioning
confidence: 99%
“…Many studies have focused on the thermoelectric convection in spherical and cylindrical cavities because of the intense values of the dielectrophoretic force due to the inhomogeneity of the electric field induced by the curvature and because of its potential applications in the modeling of convection generation in planets [5][6][7][8][9][10]. Despite their simplicity, thermoelectric convection in rectangular cavities has been less investigated [11][12][13] in particular because the electric gravity is less effective than in curved configurations.…”
Section: Introductionmentioning
confidence: 99%
“…Le paramètre γ e = e∆T représente le coefficient de couplage thermoélectrique. L'expression de la gravité électrique de l'état de base est donnée par [9,11,12] :…”
Section: Configuration Géométrique Et éQuations Généralesunclassified
“…Après avoir déterminé les paramètres critiques par une analyse de stabilité linéaire, nous avons fait une étude non linéaire des instabilités thermoélectriques. Les simulations numériques ont été réalisées à l'aide d'un code basé sur la méthode des volumes finis [12]. Une méthode hybride a été utilisée pour la discrétisation temporelle : le schéma de Cranck-Nicolson pour les termes non linéaires et diffusifs tandis que nous avons employé le schéma de Runge-Kutta d'ordre 3 pour les autres termes.…”
Section: Analyse De Stabilité Linéaireunclassified