Integral effects of the Debye layer on a sedimenting particle with zeta-potential variations

摘要

Fluid-solid interfaces give rise to electro-hydrodynamic effects at microscale. In a macroscale model, those effects can be represented by jump conditions. This report focuses on the derivation of such jump conditions for integral parameters, like mass flux, forces and charge fluxes. In particular, the effect of spatial and temporal variations in the ζ-potential on the solid's surface are discussed, using the generic problem of a sedimenting particle.