APPLICATION OF THE NONLINEAR POISSON-BOLTZMANN MODEL TO THE STABILITY OF AN ELECTROLYTE FILM

被引：1
作者：
Ketelaar, Christiaan [1 ]
Ajaev, Vladimir S. [1 ]
机构：
[1] Southern Methodist Univ, Dept Math, Dallas, TX 75275 USA
来源：
INTERFACIAL PHENOMENA AND HEAT TRANSFER | 2014年 / 2卷 / 01期
基金：
美国国家科学基金会;
关键词：
thin films; rupture; stability analysis; electrostatic forces; disjoining pressure;
D O I：
10.1615/InterfacPhenomHeatTransfer.2014010040
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The stability of a thin liquid film of an electrolyte on a solid substrate is investigated. The effects of surface tension, viscous flow, and electric field described by the nonlinear Poisson-Boltzmann equation are considered in the framework of a lubrication-type model. Conditions for film breakup due to electrostatic interaction of interfacial charges are investigated. Linear stability criteria are formulated using elliptic integrals. Nonlinear evolution of the film is then investigated using numerical finite-difference-based methods. Comparison to the predictions of the approximate Debye-Huckel model is discussed.
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页码：75 / 84
页数：10
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