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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Interfacial Phenomena and Heat Transfer
ESCI SJR: 0.146

ISSN Печать: 2169-2785
ISSN Онлайн: 2167-857X

Open Access

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.2014010040
pages 75-84

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

Christiaan F Ketelaar
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA
Vladimir S. Ajaev
Kutateladze Institute of Thermophysics SB RAS, 1, Lavrentiev Ave, Novosibirsk, 630090, Russia; Department of Mathematics, Southern Methodist University, Dallas TX 75275, USA

Краткое описание

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.