An exact solution of AC electro-kinetic-driven flow in a circular micro-channel

The electro-osmotic fully-developed flow in a circular micro-channel is studied under an alternating electrical field. An analytical approach based on the linearized Poisson–Boltzmann equation is selected to get an exact solution of the electrical potential inside the channel. An exact solution of the velocity distribution is then obtained by using the Green’s function approach. The application of the electrical body force results in a rapid acceleration of the fluid within the double layer. If the diffusion time scale is much greater than the oscillation period (high frequency), the fluid within the double layer oscillates rapidly, while the bulk fluid remains almost stationary.