A note on the electrophoresis of a uniformly charged particle

A. Sellier 1, *
Abstract : We examine the electrophoretic motion of a uniformly charged particle embedded in a varying electric field E8. If R and ?-1 respectively denote the typical radius of curvature of the particle's surface and the usual Debye-Htickel screening length we assume that R " ?-1 and allow variations of E8 over lengths of order at least R. Under these assumptions, this paper shows that it is unnecessary to calculate the total electric field in the electrolyte when determining the rigid-body motion of the particle. The well-known Smoluchowski solution is thereafter readily recovered. Finally, we pay special attention to orthotropic and uniformly charged particles and detail the case of a solid ellipsoid.
Type de document :
Article dans une revue
Quarterly Journal of Mechanics and Applied Mathematics, Oxford University Press (OUP), 2002, 55 (4), pp.561-572. 〈10.1093/qjmam/55.4.561〉
Liste complète des métadonnées

https://hal-polytechnique.archives-ouvertes.fr/hal-01024928
Contributeur : Denis Roura <>
Soumis le : jeudi 17 juillet 2014 - 15:04:15
Dernière modification le : jeudi 10 mai 2018 - 02:01:41

Lien texte intégral

Identifiants

Collections

Citation

A. Sellier. A note on the electrophoresis of a uniformly charged particle. Quarterly Journal of Mechanics and Applied Mathematics, Oxford University Press (OUP), 2002, 55 (4), pp.561-572. 〈10.1093/qjmam/55.4.561〉. 〈hal-01024928〉

Partager

Métriques

Consultations de la notice

74