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毛细上升动力学

Dynamics of Capillary Rise.

作者信息

Zhmud BV, Tiberg F, Hallstensson K

机构信息

Institute for Surface Chemistry YKI, Stockholm, SE-11486, Sweden

出版信息

J Colloid Interface Sci. 2000 Aug 15;228(2):263-269. doi: 10.1006/jcis.2000.6951.

DOI:10.1006/jcis.2000.6951
PMID:10926465
Abstract

An overview and detailed analysis of the classical theory of capillarity is presented. A number of known equations of capillary rise dynamics are shown to be different limiting cases of one rather general equation. Some internal inconsistencies of the classical equations are pointed out. The role of nonlinear dissipation and flow pattern effects in the front zone of the liquid column and near the capillary entrance is discussed. Numerical simulations and experimental data demonstrating some characteristic types of dynamic behavior predicted by the theory are reported. Special attention is paid to the capillary rise of surfactant solutions. As applied to this special case, the existing theory is substantially elaborated by setting up a closed system of equations describing the surfactant transport and relaxation processes in the adsorption layer. A simplified relation for the capillary rise dynamics in the case of strong depletion of the interfacial region is obtained, which is in qualitative agreement with the experimental behavior. Copyright 2000 Academic Press.

摘要

本文对经典毛细管理论进行了综述和详细分析。结果表明,一些已知的毛细上升动力学方程是一个相当通用方程的不同极限情况。指出了经典方程存在的一些内部不一致性。讨论了非线性耗散和流型效应在液柱前端区域和毛细管入口附近的作用。报告了数值模拟和实验数据,这些数据证明了该理论预测的一些特征类型的动态行为。特别关注了表面活性剂溶液的毛细上升。针对这种特殊情况,通过建立一个描述吸附层中表面活性剂传输和弛豫过程的封闭方程组,对现有理论进行了实质性的完善。得到了界面区域严重耗尽情况下毛细上升动力学的简化关系,该关系与实验行为在定性上是一致的。版权所有2000年,学术出版社。

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