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Homo-interaction between parallel plates at constant charge
KTH, School of Chemical Science and Engineering (CHE), Chemical Engineering and Technology, Chemical Engineering.ORCID iD: 0000-0001-6801-9208
KTH, School of Chemical Science and Engineering (CHE), Chemical Engineering and Technology, Chemical Engineering.
2008 (English)In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, ISSN 0927-7757, E-ISSN 1873-4359, Vol. 317, no 1-3, 636-642 p.Article in journal (Refereed) Published
Abstract [en]

Various approximate solutions to the Poisson-Boltzmann (PB) equation have been derived to describe the interaction of electric diffuse double layers adjacent to charged surfaces. However, all these expressions are case-specific and accurate only in limited ranges of particle separations. None can cover the entire range of plate separations and/or surface charge densities generally found in real systems. In this paper, we derive an approximate expression for the force between two parallel similar plates with constant surface charge densities in a symmetrical electrolyte solution, which agrees well with the rather complex exact analytical solution over a wide range of plate separations. The method used is based on the so-called "compression" approach developed previously for the case of low surface charge densities. The results are also in good agreement with "exact" numerical solutions over a wide range where no restriction is actually required on the magnitudes of the surface charge densities, surface potentials or the distance between the plates. Furthermore, an expression for the derivative of the force is also given, which is fairly simple and is very useful in modelling, e.g. colloidal transport problems based on a force balance on particles in a colloidal system. In such cases it is very impractical to use either the exact analytical or numerical solution to the PB,equation.

Place, publisher, year, edition, pages
2008. Vol. 317, no 1-3, 636-642 p.
Keyword [en]
double layer interaction, Poisson-Boltzmann equation, Gouy-Chapman, theory, force expression, compression approach, constant charge, double-layer interaction, surface-charge, dispersions, particles, density
Identifiers
URN: urn:nbn:se:kth:diva-17396DOI: 10.1016/j.colsurfa.2007.11.055ISI: 000254267700084Scopus ID: 2-s2.0-39149091336OAI: oai:DiVA.org:kth-17396DiVA: diva2:335440
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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