ABSTRACT

In the first part of this chapter, numerical simulation of the electrical double layer (EDL) formed next to a charged planar surface is demonstrated using COMSOL Multiphysics®. The electrostatics and the ionic mass transport are governed by the Poisson-Nernst –Planck (PNP) equations without considering fluid motion. The numerical predictions of the electric field and ionic concentrations are in good agreement with the analytical solution. In the second part of this chapter, numerical simulation of an electroosmotic flow (EOF) in a nanopore is demonstrated. The model for EOF includes the modified Stokes equations for the flow field, the Poisson equation for the electrostatics, and the Nernst-Planck equations with the convective term for the ionic mass transport. The predicted fully developed EOF velocity quantitatively agrees with the analytical solution.