Electrophoretic Mobility of a Concentrated Suspension of Spherical Particles

Electrophoresis of a Concentrated Spherical Dispersion at Arbitrary Electrical Potentials

“…Figure 2 shows the variation of the scaled mobility U * m as a function of κa at various scaled applied field E * z for two different levels of scaled surface potential. For comparison, the results of Lee et al (16) in which the applied electric field is weak and the governing equations, Eqs. [9]- [12], are linearized are also presented.…”

“…The scaled Navier-Stokes equation, in terms of scaled stream function, and the associated scaled boundary conditions are The physical meaning of each boundary condition can be found in Lee et al (16). The external force acting on a particle in the Z -direction includes the electrical force and the hydrodynamic force.…”

“…It can be shown that the scaled electrophoretic mobility of the particle, U * m , is [16] Note that since K E , K De , and K D f are all functions of the applied electric field and the terminal velocity of the particle, U * m needed to be calculated through an iterative procedure.…”

Electrophoretic mobility of concentrated spheres with a charge-regulated surface

“…The concentration of the dispersed phase is measured by the relative radii of the particle and the shell. The same approach was adopted by Kozak and Davis [11,12], Ohshima [13], and Lee et al [14]. These analyses are all based on rigid entities having constant surface properties such as constant surface potential or constant surface charge density.…”

Electrophoresis of a spherical particle normal to an air–water interface

“…A mesh with 40 Â 40 nodal points, in (x, Z) domain is found to be sufficiently accurate, and is used to carry out the calculations in this study. The system is essentially like a single particle suspended in an infinite medium.Corresponding theoretical predictions based on Henry's classic analysis valid for the low zeta potential situation as well as those by Lee et al for high potentials based on a separate cell model approach [28] are shown in Fig. 2 for verification purpose.…”