電荷調整膠體粒子懸浮液中之輸送現象(2/3)
Date Issued
2004
Date
2004
Author(s)
DOI
922214E002004
Abstract
An analytical study of electrophoresis in a monodisperse suspension of spherical
charge-regulating particles with an arbitrary thickness of the electric double layers is presented.
The charge regulation due to association/dissociation reactions of ionogenic functional groups
on the particle surface is approximated by a linearized regulation model, which specifies a linear
relationship between the surface charge density and the surface potential. The effects of
particle interactions are taken into account by employing a unit cell model, and the overlap of
the double layers of adjacent particles is allowed. The electrokinetic equations that govern the
electric potential profile, the ionic concentration distributions, and the fluid flow field in the
electrolyte solution surrounding the particle in a unit cell are linearized assuming that the system
is only slightly distorted from equilibrium. Using a regular perturbation method, these
linearized equations are solved with the equilibrium surface potential of the particle as the small
perturbation parameter. A closed-form formula for the electrophoretic mobility of the
charge-regulating spheres is derived. Our results indicate that the charge regulation effect on
the electrophoretic mobility appears starting from the leading order of the equilibrium surface
potential, which depends on the regulation characteristics of the suspension, and are quite
sensitive to the boundary condition for the electric potential specified at the outer surface of the
unit cell.
Publisher
臺北市：國立臺灣大學化學工程學系暨研究所
Type
report
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