The effect of an electric field on the rotating flows of a thin film using a perturbation technique

The motion of a thin suspended film of an incompressible fluid under the effect of an external electric field is studied. The effects of the interfacial Maxwell stress, surface tension and intermolecular forces are studied, in which the forces are included in the Navier-Stokes equations. The perturbation technique is used to solve the given model. The obtained results show that, the fluid moves in a rotating pattern and the fluid particles move along the streamlines with different velocities. The free boundaries show good agreement with experimental data. In addition, the stability criteria are examined in the present model.