微粒与壁之间的毛细管半月板相互作用

V.N. Paunov , P.A. Kralchevsky , N.D. Denkov , I.B. Ivanov , K. Nagayama
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引用次数: 38

摘要

利用匹配渐近展开的方法,导出了沿垂直圆柱体或靠近垂直壁面的球形粒子形成的毛细管半月板形状的解析表达式。计算了颗粒(圆柱)与壁面之间的毛细相互作用力。当颗粒(圆柱)与壁面之间的距离以及颗粒半径远小于毛细管长度时,所得表达式是有效的。这个范围对应于胶体和微米大小的颗粒。该理论预测了这种粒子与壁之间的吸引力。该结果可用于更好地理解诸如表面凝固和附着在流体界面上的胶体颗粒或蛋白质分子的二维排序等过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Capillary meniscus interaction between a microparticle and a wall

An analytical expression for the shape of the capillary meniscus formed around a vertical cylinder or spherical particle near a vertical wall is derived by using the method of matched asymptotic expansions. The forces of capillary interaction between the particle (cylinder) and the wall are calculated. The resulting expressions are valid when the distance between the particle (cylinder) and the wall, as well as the particle radius, are much smaller than the capillary length. This range corresponds to colloidal and micron-size particles. The theory predicts attraction between such a particle and the wall. The results can be useful for a better understanding of processes such as surface coagulation and two-dimensional ordering of colloidal particles or protein molecules attached to a fluid interface.

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