Electric field influence on a height of rise of a dielectric liquid between two parallel electrodes

A differential equation for temporal dependence of the liquid height of rise in a microchannel consisted of two parallel plates has been modified to account for a dielectrophoretic force, which is a result of an electric field occurring between the plates. The equation takes into account viscous, surface tension, gravitational forces, capillary entrance pressure and dielectrophoretic force. Numerical calculations have been performed for 2-propanol as a liquid. Time dependence of the height of rise and the velocity of liquid front has been obtained for two cases of the initial liquid height and several values of a voltage applied to the plates.