Electrophoretic mobility of a colloidal cylinder between two parallel walls

Electrophoresis of a cylindrical particle placed between two parallel walls is considered for arbitrary eccentricity. The electric field is perpendicular to the particle axis, and both the particle and walls are non-conducting. The electrical double layers adjacent to the solid surfaces are assumed to be thin with respect to the particle radius and to the particle–wall gap. A boundary-element method is used to solve the governing equations. It is found that the viscous effect becomes comparable to the electrophoresis when the ratio between the channel width and cylinder diameter approaches unity. In addition, the eccentricity has a significant effect on the particle's rotation.