Analysis of induced charge electro-osmotic flow by an external rotating electric field in a cylindrical container

We investigated the phenomenon of induced charge electro-osmotic flow (ICEOF) driven by a cylindrical electrode in a cylindrical container, focusing on the flow characteristics under different electric field conditions. Through analytical derivation, we provided the approximate expressions for the zeta potential and slip velocity induced around the surface of the electrode under direct current and rotating electric fields (ROT), as well as in the presence of an alternating current flow field effect transistor. The study primarily analyzes the flow velocity distribution under the influence of the ROT electric field, and the validity of the derived formulas was verified through numerical simulations. The results show that increasing the electric field amplitude and electrode size enhances the intensity of the ICEOF, while the frequency of the ROT electric field causes a phase lag in the flow velocity, characterized by a decrease in the peak flow velocity and a delay in the flow phase. Furthermore, applying a gate voltage creates a sinusoidal flow velocity band, where both the peak and width of the velocity band are modulated by the gate voltage amplitude, and the phase of the velocity band is controlled by the initial phase of the gate voltage.