The pre-breakdown solutions of electrohydrodynamic equations for liquid insulators and comparison with experiment

The system of electrohydrodynamic equations at a pre-breakdown liquid insulator is given. The influence of electric field on the partial dissociation molecules rate is taken into account. The stationary and nonstationary solutions for electric potential and hydrodynamic velocity distributions are obtained. Comparison of the experimental and theoretical results showed good agreement. The stationary velocity distribution and current-voltage characteristic are close to quadratic, as predicted by the theory.