A model for the electric field-driven flow and deformation of a drop or vesicle in strong electrolyte solutions

A model is constructed to describe the arbitrary deformation of a drop or vesicle that contains and embedded in an electrolyte solution, where caused by applied electric field. The field produces electrokinetic flow induced charge electro-osmosis. based on coupled Poisson-Nernst-Planck Stokes equations. These are reduced simplified forming limit strong electrolytes, for which ion densities relatively large, together with thin Debye layers. layers opposite polarity form either side interface membrane, electrical double layer. Two formulations given. One utilizes integral equation velocity membrane surface pair equations electrostatic potential outer faces other stress-balance boundary condition incorporates layer structure into relations between dependent variables layer's faces. This constitutes interfacial drives otherwise unforced outside For both derived from transport ions each give additional conditions concentrations