Electrified drops

We have studied the dynamic of pure conductive drops in the presence of electric field. Thus, the Laplace equation for the electric potential is subjected to constant potential conditions at the electrodes and the drop surface. Since the Ohnesorge number is small, the fluid movement can be described by Euler's equation, and the flow velocity is derived from the flow potential. Thus, the continuity equation writes as the Laplacian of the flow potential. Young-Laplace including Maxwell stress tensors is applied at the boundary. We have studied the equilibrium position and the modes of vibration, which we compared with experiments.