Comptes Rendus
Electrophoresis of a 2-particle cluster near a plane boundary
[Electrophorèse de deux particules en présence d'une paroi plane]
Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 401-406.

On examine l'électrophorèse d'une particule isolante, sous l'action d'un champ électrique uniforme E, en présence d'une seconde particule isolante et d'une paroi plane parfaitement conductrice et normale à E ou isolante et parallèle à E. 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 :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(03)00095-0
Keywords: Fluid mechanics, Electrophoresis, Wall–particle interactions, Particle–particle interactions
Mot clés : Mécanique des fluides, Electrophorèse, Paroi plane, Interactions

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/

[1] J.L. Anderson Colloid transport by interfacial forces, Ann. Rev. Fluid Mech., Volume 21 (1989), pp. 61-99

[2] M.V. Smoluchowski Handbuch der Elektrizität und des Magnetismus (L. Graetz, ed.), J.A. Barth, Leipzig, 1921

[3] F.A. Morrison Electrophoresis of a particle of arbitrary shape, J. Colloid Interface Sci., Volume 34 (1970), pp. 210-214

[4] M. Teubner The motion of charged colloidal particles in electric fields, J. Chem. Phys., Volume 76 (1982) no. 11, pp. 5564-5573

[5] J.L. Anderson Effect of nonuniform zeta potential on particle movements in electric fields, J. Colloid Interface Sci., Volume 105 (1985), pp. 45-54

[6] L.D. Reed; F.A. Morrison Hydrodynamic interactions in electrophoresis, J. Colloid Interface Sci., Volume 54 (1976), pp. 117-133

[7] B. Chen; H.J. Keh Particles interactions in electrophoresis: I. Motion of two spheres along their line of centers, J. Colloid Interface Sci., Volume 130 (1989) no. 2, pp. 542-555

[8] B. Chen; H.J. Keh Particles interactions in electrophoresis: II. Motion of two spheres normal to their line of centers, J. Colloid Interface Sci., Volume 130 (1989) no. 2, pp. 556-567

[9] F.A. Morrison; J.J. Stuckel Electrophoresis of an insulating sphere normal to a conducting plane, J. Colloid Interface Sci., Volume 34 (1970), pp. 210-214

[10] H.J. Keh; J.L. Anderson Boundary effects on electrophoretic motion of colloidal spheres, J. Fluid Mech., Volume 153 (1985), pp. 417-439

[11] H.J. Keh; S.B. Chen Electrophoresis of a colloidal sphere parallel to a dielectric plane, J. Fluid Mech., Volume 153 (1988), pp. 377-390

[12] A. Sellier On boundary effects in electrophoresis, C. R. Acad. Sci. Paris, Ser. IIb, Volume 329 (2001), pp. 565-570

[13] J. Happel; H. Brenner Low Reynolds Number Hydrodynamics, Martinus Nijhoff, 1973

[14] C. Pozrikidis Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, 1992

[15] J.R. Blake A note on the image system for a Stokeslet in a no-slip boundary, Proc. Cambridge Phil. Soc., Volume 70 (1971), pp. 303-310

[16] M. Bonnet Boundary Integral Equations Methods for Solids and Fluids, Wiley, 1999

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