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Analytical and numerical computations of the van der Waals force in complex geometries: Application to the filtration of colloidal particles

Hallez, Yannick Analytical and numerical computations of the van der Waals force in complex geometries: Application to the filtration of colloidal particles. (2012) Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 414. pp. 466-476. ISSN 0927-7757

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Official URL: http://dx.doi.org/10.1016/j.colsurfa.2012.07.033

Abstract

Particle capture during the filtration of colloidal dispersions depends on a complex balance between repulsive forces, such as hydrodynamic or electrostatic effects, and attractive forces, amongst them the van der Waals interaction forces. Satisfactory expressions for the latter are thus required in complex geometries. Exact expressions for the geometrical factor involved in the van der Waals interaction energy based on Hamaker's additivity hypothesis are derived for a sphere in interaction with a square wedge, a semi-infinite or finite slit, a semi-infinite slab, a 2D pillar, a rectangular rod, a corner and a rectangular channel. A numerical tool based on an adaptive mesh refinement strategy is presented and used to validate the analytical results. The analytical result for a sphere/wedge system is used to assess the domain of applicability of the sphere/plane model in the vicinity of the edge. The interaction between a sphere and a cylindrical pore in a plate of finite thickness is then simulated and the range of validity of the sphere/wedge system as a model of the sphere/pore system is deduced from the numerical results.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Colloids and Surfaces A: Physicochemical and Engineering Aspects website : http://dx.doi.org/10.1016/j.colsurfa.2012.07.033
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Laboratory name:
Laboratoire de Génie Chimique - LGC (Toulouse, France) - Génie des Interfaces & Milieux Divisés (GIMD)
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Deposited By: Yannick HALLEZ
Deposited On:09 Apr 2013 13:49

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