The combined effect of polarization and free surface charges on the electric pressure jump in an ohmic/ohmic fluid interface

Abstract

We study in this paper the pressure instability mechanism in an obmic/ohmic fluid interface Stressed by a vertical stationary elecuic field. The study is Carried out by means of a simplified (hydraulic) model, which is based in a system where the destabilizing action of the electric pressure is solely equilibrated by the gravitational pressure at the interface. We focus on the analysis of the combined effect of interfacial polarization and free charges on the pressure instability mechanism.

On the dimensionless magnitudes in the problem of a dielectric interface under unipolar injection

“…This means that the type of pressure instability mechanism can only be one for an interface with constant apparent conductivity (i.e., the cases 2i and 2ii) [9,10]. Thus, the electric field sin the purely ohmic and purely non-ohmic cases have important formal similarities.…”