A theory is developed of the electrophoresis of a spherical colloidal particle with a slip surface in a concentrated suspension on the basis of Kuwabara’s cell model. We introduce the slipping length on the particle surface, which is the measure of the particle surface hydrophobicity. We derive the general expression of the particle electrophoretic mobility and its approximate analytic expressions for a particle carrying a low zeta potential. Expressions for other electrokinetics, that is, electrical conductivity, sedimentation velocity, and potential in concentrated suspensions, are also derived. Furthermore, it is shown that as in the case of a dilute suspension, a similarity is found between the electrokinetics of charged spherical solid particles with a slip surface in a concentrated suspension and that for liquid drops. Graphical abstract Electrophoretic mobility of a sphere with a slip surface in a concentrated suspension Electrophoretic mobility of a sphere with a slip surface in a concentrated suspension

中文翻译：

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具有滑动面的球形胶体颗粒在浓悬浮液中的电动力学

基于 Kuwabara 的细胞模型，提出了在浓缩悬浮液中具有滑动表面的球形胶体粒子的电泳理论。我们引入了颗粒表面的滑移长度，它是颗粒表面疏水性的量度。我们推导出粒子电泳迁移率的一般表达式及其对携带低 zeta 电位的粒子的近似解析表达式。还导出了其他电动力学的表达式，即电导率、沉降速度和浓悬浮液中的电位。此外，研究表明，在稀释悬浮液的情况下，在浓缩悬浮液中具有滑动表面的带电球形固体颗粒的电动学与液滴的电动学之间存在相似性。