Electrophoresis of a 2-particle cluster near a plane boundary

Antoine Sellier

doi:10.1016/S1631-0721(03)00095-0

Electrophoresis of a 2-particle cluster near a plane boundary
[Electrophorèse de deux particules en présence d'une paroi plane]

Présenté par : Paul Germain

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 401-406.

Résumé
Abstract

On examine l'électrophorèse d'une particule isolante, sous l'action d'un champ électrique uniforme $E_{\infty}$ , en présence d'une seconde particule isolante et d'une paroi plane parfaitement conductrice et normale à $E_{\infty}$ ou isolante et parallèle à $E_{\infty}$ . La méthode préconisée utilise 13 équations intégrales de frontière et on montre que, selon la nature (translation ou rotation) de la vitesse examinée, les intéractions paroi–particule peuvent être plus fortes ou moindres que les intéractions particule–particule.

Particle–boundary and particle–particle interactions in Electrophoresis are examined by considering a 2-particle cluster near a plane boundary. The advocated treatment holds for two insulating particles of arbitrary shapes and zeta potential functions and resorts to 13 boundary-integral equations. Preliminary results reveal that, depending upon the addressed velocity nature (translational or angular), wall–particle may be stronger or weaker than particle–particle interactions.

Reçu le : 2002-05-27
Accepté le : 2003-05-02
Publié le : 2003-06-01

DOI : 10.1016/S1631-0721(03)00095-0

Keywords: Fluid mechanics, Electrophoresis, Wall–particle interactions, Particle–particle interactions
Mots-clés : Mécanique des fluides, Electrophorèse, Paroi plane, Interactions

Affiliations des auteurs :

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

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Antoine Sellier. Electrophoresis of a 2-particle cluster near a plane boundary. Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 401-406. doi : 10.1016/S1631-0721(03)00095-0. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00095-0/

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Touvia Miloh Dipolophoresis of interacting conducting nano-particles of finite electric double layer thickness, Physics of Fluids, Volume 23 (2011) no. 12 | DOI:10.1063/1.3671681

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