title: Dynamic electrophoresis of a sphere in a spherical cavity: arbitrary surface potential.
abstract: The boundary effect on the dynamic electrophoretic behavior of a charged entity is examined by considering a sphere in a spherical cavity. The present study extends previous analysis to the case of an arbitrary level of electrical potential where the effect of double-layer distortion can be significant. The governing equations are solved numerically based on a pseudo-spectral method, which is found to be sufficient in solving the corresponding electrophoresis problem when a static electric field is applied. The result of numerical simulation reveals that as the size of a cavity decreases, both the magnitude of the mobility and the inertial force acting on a particle decrease accordingly. Also, while the distortion of the ionic cloud should not be ignored, in general, when the surface potential of a particle is high, its influence on the magnitude and on the phase angle of the mobility is alleviated by the presence of the cavity.
authors.affiliation: Department of Chemical Engineering, National Taiwan University, Taipei, Taiwan 10617.
authors.forename: Shih-Han
authors.initials: SH
authors.lastname: Lou
authors.forename: Eric
authors.initials: E
authors.lastname: Lee
authors.forename: Jyh-Ping
authors.initials: JP
authors.lastname: Hsu