Electrohydrodynamics of charge transport in stoke´s flow

The physics of charge transport in steady Stoke´s flow is modeled using a novel algorithm that considers full coupling of the electrostatic and fluid equations and is applicable to fairly arbitrary geometries. The hybrid boundary element method - method of characteristics (BEM-MOC) approach is used to solve the charge transport equations. The fluid equations, inclusive of electrohydrodynamic effects (EHD), are solved using a novel vorticity-stream function boundary integral equation formulation (BIEM) for Stoke´s flow. An important advantage is that vorticity boundary conditions need not be specified a priori. Rapid iterative solution is afforded by the use of influence coefficient matrices that simplify re-analysis and recalculation of fields to the product and sum of matrices.