Effects of fluid flow on the electric field distribution in charged liquid dielectrics

A one dimensional drift dominated conduction model is used with a flowing charged dielectric to describe the transient and dc steady state electric field and space charge distributions. This work extends past similar work1 but now allows for forced convection of the liquid dielectric in the same or opposite direction of the electric field resulting in convection currents as well as conduction and displacement currents. The resulting governing partial differential equations are of the hyperbolic type and are solved using the method of characteristics. Particular case studies examine the steady state distributions.