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球体从液体界面的准静态脱离。

Quasistatic detachment of a sphere from a liquid interface.

作者信息

Chateau Xavier, Pitois Olivier

机构信息

LMSGC (UMR 113 LCPC-ENPC-CNRS), 2 Allée Kepler, Cité Descartes, 77420 Champs sur Marne, France.

出版信息

J Colloid Interface Sci. 2003 Mar 15;259(2):346-53. doi: 10.1016/S0021-9797(02)00219-9.

Abstract

In this paper the problem of removing a spherical particle initially attached to a liquid-gas interface is analytically treated. In particular, the Derjaguin equation for small radii is used to derive a closed-form approximate expression for the work of detachment of the sphere from the interface. Expressions corresponding to the prescribed displacement condition and the applied force condition, which seems to be the relevant condition for the flotation separation process, are presented. A special effort has been made to closely compare analytical results with data obtained through the exact numerical treatment of the detachment process. Results show that proposed expressions are sufficiently accurate to calculate the energy required to detach the sphere from the interface as soon as the sphere radius is small compared to the capillary length. Validity limits are specified.

摘要

本文对移除最初附着在液-气界面上的球形颗粒的问题进行了分析处理。特别地,利用小半径的德亚金方程推导出球体从界面分离功的封闭形式近似表达式。给出了对应于规定位移条件和作用力条件(这似乎是浮选分离过程的相关条件)的表达式。已做出特别努力,将分析结果与通过对分离过程进行精确数值处理获得的数据进行紧密比较。结果表明,只要球体半径与毛细长度相比很小,所提出的表达式就能足够准确地计算球体从界面分离所需的能量。规定了有效性限制。

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