Hydrodynamic characteristics of weakly conductive liquid media in the non-uniform electric field

Abstract

Theoretical model of the ions formation in a liquid dielectric and flows caused by high electric field is proposed. The three-dimensional system of macroscopic pre-breakdown electro-hydrodynamic equations is written. The influence of electric field on the molecule dissociation rate is taken into account. The system includes the Poison equation for electric field potential, equation of ion formation and the Navier–Stokes equations with the electric force. Author’s steady analytical electrodynamic solution of these equations for the electric field distribution and potential of spherical high voltage capacitor with liquid transformer oil type dielectric is described. Analytical non-stationary and numerical steady solutions for velocity distributions in liquid dielectric flows are obtained.