Stability analysis of the 3D electroconvective charged flow between parallel plates using the Particle-In-Cell method

The 3D Electrohydrodynamic convection between parallel plates immersed in a dielectric liquid is studied numerically in a cylindrical cell. The distribution of charge is computed with Particl-In-Cell, the electric field with finite elements and the velocity field with an imposed roll. Critical values of the stability parameter are obtained for different mobilities and are compared with the value from the linear stability analysis.