Journal
PHYSICS OF FLUIDS
Volume 22, Issue 5, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3431695
Keywords
dielectric materials; dielectric polarisation; eigenvalues and eigenfunctions; electrohydrodynamics; electrokinetic effects; electrophoresis; permittivity; two-phase flow
Categories
Funding
- Israel Science Foundation [2011446]
Ask authors/readers for more resources
A thin-Debye-layer macroscale model is developed and analyzed for electrokinetic flows about dielectric surfaces, wherein solid polarization modifies the zeta-potential distribution. The harmonic electric potential within the solid is governed by a nonlinear boundary condition, which constitutes a generalization of the linear Robin-type condition of Yossifon [Phys. Fluids 19, 068105 (2007)] to voltages comparable with the thermal scale. The resulting polarization model is demonstrated in the classical context of spherical-particle electrophoresis, where the electrophoretic mobility-now a function of applied-field magnitude and solid permittivity-is evaluated using both eigenfunction series expansions and asymptotic approximations. For strong polarization, the mobility saturates at a field-dependent value which is lower than the comparable Smoluchowski slope. At strongly applied fields, the mobility diminishes at a rate that corresponds to a logarithmic increase of particle velocity with applied-field magnitude. (C) 2010 American Institute of Physics. [doi:10.1063/1.3431695]
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available