On boundary conditions for electric field strength on a surface of low conductivity liquids

Abstract

In the low conductivity liquids it is possible transfer of a free charge along boundary of the section due to a surface conductivity and a surface flow. Unlike electrocapillary, such flows are caused by different conductivity of liquids and existence tangential components of electric field strength on boundary of their section. This effect needs to be considered by consideration of the electrohydrodynamic phenomena in the heterogeneous low conductivity fluid environment as can have significant effect on structure of currents in liquid. The surface current influence distribution of the free charge to phase boundaries that leads to change of an electric field and, as a result, structural change of currents in the environment. At the same time in variation electric fields when current of conduction and a displacement current of one order, depending on environment parameters these effects can lead as to strengthening, and weakening of electrohydrodynamic flows. In this regard when calculating electric fields in heterogeneous environments it is necessary in boundary conditions for an electric intensity to consider the specified factors. In the real work from the charge conservation law for the allocated volume on a demarcation two immiscible the low conductivity liquids expressions for boundary conditions for strength of a variation electric field at course of the surface current and the surface flow along a demarcation at absence on border of the electrochemical alterations leading to formation of the free charge are received. The presented boundary conditions are more common in relation to the solution of a number of problems of an electrohydrodynamics.Received 06.03.2017; accepted 27.03.2017