A closed form solution for ac electo-kinetic-driven flow in a microchannel

Abstract

The electro-osmotic fully-developed flow in a circular microchannel was studied under an alternative electric field. An analytical approach based on the linearized poisson-Boltzmann equation was selected to obtain an exact solution of the electrical potential inside the channel. The velocity distribution was then determined by using Green’s function approach. The velocity distribution has been plotted under a design condition