Hj. Keh et Ty. Huang, DIFFUSIOPHORESIS OF COLLOIDAL SPHEROIDS IN SYMMETRICAL ELECTROLYTES, Colloids and surfaces. A, Physicochemical and engineering aspects, 92(1-2), 1994, pp. 51-65
An analytical study is presented of the diffusiophoresis of a non-cond
ucting spheroid in a solution of symmetric electrolyte with a constant
concentration gradient oriented arbitrarily with respect to the axis
of revolution of the spheroid. The thickness of the electric double la
yer surrounding the spheroid is assumed to be small relative to the di
mension of the particle, but the effect of the polarization of the mob
ile ions in the diffuse layer is incorporated. To solve the conservati
ve equations governing the system, a slip velocity of fluid and normal
fluxes of solute ions at the outer edge of the thin double layer whic
h balance convection and diffusion of the solute ions along the partic
le surface are used as the boundary conditions for the fluid domain ou
tside the diffuse layer. Explicit expressions for the diffusiophoretic
and electrophoretic velocities of a spheroidal particle and the avera
ge particle velocities in an ensemble of identical, non-interacting sp
heroids with random orientation distribution are obtained. It is found
that the diffusiophoretic and electrophoretic velocities of the parti
cle decrease with the reduction of the maximum length of the particle
in the direction of migration.