Diffusiophoresis of a Charged Soft Sphere in a Charged Spherical Cavity
Journal
Colloids and Interfaces
Journal Volume
8
Journal Issue
3
Start Page
36
ISSN
2504-5377
Date Issued
2024-06-02
Author(s)
Wei-Zhi Chen
DOI
10.3390/colloids8030036
Abstract
The quasi-steady diffusiophoresis of a soft particle composed of an uncharged hard sphere core and a uniformly charged porous surface layer in a concentric charged spherical cavity full of a symmetric electrolyte solution with a concentration gradient is analyzed. By using a regular perturbation method with small fixed charge densities of the soft particle and cavity wall, the linearized electrokinetic equations relevant to the fluid velocity field, electric potential profile, and ionic concentration distributions are solved. A closed-form formula for the diffusiophoretic (electrophoretic and chemiphoretic) velocity of the soft particle is obtained as a function of the ratios of the core-to-particle radii, particle-to-cavity radii, particle radius to the Debye screening length, and particle radius to the permeation length in the porous layer. In typical cases, the confining charged cavity wall significantly influences the diffusiophoresis of the soft particle. The fluid flow caused by the diffusioosmosis (electroosmosis and chemiosmosis) along the cavity wall can considerably change the diffusiophoretic velocity of the particle and even reverse its direction. In general, the diffusiophoretic velocity decreases with increasing core-to-particle radius ratios, particle-to-cavity radius ratios, and the ratio of the particle radius to the permeation length in the porous layer, but increases with increasing ratios of the particle radius to the Debye length.
Subjects
arbitrary electric double layer
boundary effect
charged soft particle
diffusioosmosis
diffusiophoresis
Publisher
MDPI AG
Type
journal article