Nonlinear Smoluchowski slip velocity and micro-vortex generation

摘要: When an electric field is applied across a conducting and ion-selective porous granule in electrolyte solution, polarized surface layer with excess counter-ions created. The depth of this the overpotential V are functions normal j on surface. By transforming ionic flux equations Poisson equation into Painleve second type by analysing latter's asymptotic solutions, we derive linear universal j–V correlation at large electrokinetic slip length β. flux-induced polarization produces nonlinear Smoluchowski velocity that can couple curvature to produce micro-vortices micro-devices. Such vortices impossible irrotational flow constant zeta-potential velocity.