A numerical method and a reduced model for time-dependent electrokinetic flow
Thursday, March 15, 2018 - 2:00pm - 2:50pm
A pseudospectral method is described for solving the time-dependent Poisson-Nernst-Planck equations of electrokinetic flow when a spherical droplet is exposed to a uniform applied DC electric field. The method has been designed to accurately resolve the thin Debye layers that develop adjacent to the drop interface. It has also been validated against two reduced asymptotic models derived in the thin Debye layer limit, one for the electrophoresis of a surface-charge carrying bubble and a second for flow of a zero surface-charge two-phase drop. Numerical results and comparison with predictions of the reduced models will be shown. If time permits, development of the second reduced model and its application to a more arbitrary geometry will be presented. This is joint work with Rui Cao, Manman Ma, and Michael Siegel.