Diffusiophoresis of a Charged Soft Sphere in a Charged Spherical Cavity

Wei-Zhi Chen, H. Keh
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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.
带电软球在带电球腔中的扩散流泳
本研究分析了由不带电的硬球内核和均匀带电的多孔表层组成的软粒子在充满具有浓度梯度的对称电解质溶液的同心带电球形空腔中的准稳定扩散泳动。通过对软颗粒和腔壁的小固定电荷密度采用规则扰动法,求解了与流体速度场、电动势剖面和离子浓度分布相关的线性化电动力学方程。软粒子的扩散速度(电泳速度和化学泳速度)与多孔层中核心与粒子半径、粒子与空腔半径、粒子半径与德拜筛分长度以及粒子半径与渗透长度之比的函数关系闭式公式可得。在典型情况下,带电空腔壁对软颗粒的扩散渗透有很大影响。沿着腔壁的扩散渗透(电渗透和化学渗透)引起的流体流动会大大改变颗粒的扩散速度,甚至逆转其方向。一般来说,扩散渗透速度随颗粒与芯半径比、颗粒与空腔半径比以及颗粒半径与多孔层渗透长度比的增加而降低,但随颗粒半径与德拜长度比的增加而增加。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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