An Analysis of Electrophoresis of Concentrated Suspensions of Colloidal Particles

The Electrophoretic Mobility and Electric Conductivity of a Concentrated Suspension of Colloidal Spheres with Arbitrary Double-Layer Thickness

“…[18]. Note that the coefficients H, I, and J 2 are independent of the boundary condition for the fluid velocity prescribed at the virtual surface of the unit cell.…”

“…In the previous cell-model analyses for the electric conductivity of a suspension of charged particles, it was assumed that the overlap of the electric double layers of adjacent particles could be neglected (16,18,20). It would be of interest to know whether this assumption is valid in typical situations.…”

“…[26] and [27] are listed here: for the Happel model, and and the functions ψ eq1 (r ), F 1r (r ), and F ±1 (r ) are given by Eqs. [18], [Ala], and [A2], respectively.…”

“…In the limiting case of a dilute suspension, their result reduces to that obtained by Henry (1). Later, the Kuwabara cell model was also used by Davis and coworkers (16)(17)(18), Ohshima (19,20), and Lee et al (21) to predict the electrophoretic mobility of charged spheres in concentrated suspensions and/or the electric conductivity of the suspensions.…”

“…All the previous analyses for the electric conductivity of suspensions of charged particles using the cell model (16,18,20) were based on the assumption that the overlap of the adjacent double layers is negligible on the virtual surface of the unit cell. With this assumption, the effect of the relaxation of the diffuse ions in the double layer within a cell due to the electrophoretic motion of the particle, at best, can only be described by simple approximations.…”