IWNET12
IWNET12
Solving the electrokinetic equations for the polarization of a charged
spheroid in an alternating electric eld
Claire Chassagne1
1 Delft University of Technology, the Netherlands
Abstract
The so-called standard set of electrokinetic equations (Poisson-Boltzmann, Navier-Stokes, Conservation of mass)
has been solved both analytically and numerically for spherical, cylindrical and planar geometries [1]. However
most particles of interest for research are non-spherical. Most of them (ex: clays, oxides) can be modeled by
either oblate or prolate spheroids. The work on the electrokinetic response of spheroidal particles is limited
sofar to spheroids with very thin double layers, where analytical solutions can be obtained [2]. It is our aim to
solve numerically the set of electrokinetic equations for spheroids, with no restriction on the size of the double
layer. In a second step, the analytical expressions will be corrected based on the results so as to be valid for all
double layer sizes, in line with the work we did for spheres [2].
References
[1] Interfacial Electrokinetics and Electrophoresis, Marcel Dekker, A. Delgado ed.
[2] The dielectric response of a colloidal spheroid, Chassagne C, Bedeaux D., J Colloid Interface Sci. (2008),
326(1):240-53
E-mail: C.Chassagne@tudelft.nl