Taking
account of the effect of double-layer polarization, we modeled
the sedimentation of a pH-regulated nanoparticle in a generalized
field. The influences of the radius and the density of the functional
groups of the particle, the pH, and the bulk salt concentration of
the liquid phase and the Reynolds number Re on the
sedimentation behavior of the particle are examined in detail. We
found that as Re increases, because more counterions
are dragged away from the particle surface, its averaged charge density
decreases accordingly. The smaller the particle, the thicker the double
layer so that double-layer polarization is more significant and the
distribution of the surface charge density is more nonuniform. Interestingly,
the smaller the particle, the higher the averaged surface charge density,
but the smaller the electric force acting on it. If the particle is
sufficiently large (300 nm in radius), its averaged surface charge
density is insensitive to Re as it varies from 0.0025
to 0.04 but can have an appreciable difference (ca. 10%) if it is
small (75 nm).