Influence of near-electrode reaction on distribution of electric characteristics of “electrodes-liquid dielectric” system

The authors report the results of numerical investigation of the process taking place in weakly-conducting liquids under the influence of strong electric fields. Their model describes the liquid, placed in an electrolytic cell with two flatly-parallel electrodes, between which a potential difference is applied. Calculations are made for the one-dimensional hydrostatic case, the liquid is considered to be incompressible and the temperature within the volume constant. Positive and negative ions are taken to be univalent. The system of partial differential equations describing the processes of current flow in liquid dielectrics is written in the form of a system of difference equations. An irregular-exponential grid is used. Its application notably widens the limits of initial values of ion concentration, birth and death coefficients, within which calculations are possible and the results correct. A numerical experiment is conducted for castor and transformer oil