Journal ArticleDOI
Capillary forces between particles at a liquid interface: General theoretical approach and interactions between capillary multipoles
TLDR
A general integral expression for the capillary force was derived and applied to obtain convenient asymptotic formulas for the force and energy of interaction between capillary multipoles of arbitrary orders, which have a wider range of validity in comparison with the previously published ones.About:
This article is published in Advances in Colloid and Interface Science.The article was published on 2010-02-26. It has received 158 citations till now. The article focuses on the topics: Capillary number & Capillary length.read more
Citations
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Journal ArticleDOI
Suppression of the coffee-ring effect by shape-dependent capillary interactions
TL;DR: It is shown experimentally that the shape of the suspended particles is important and can be used to eliminate the coffee-ring effect: ellipsoidal particles are deposited uniformly during evaporation.
Journal ArticleDOI
Curvature-driven capillary migration and assembly of rod-like particles
TL;DR: Capillarity can be used to direct anisotropic colloidal particles to precise locations and to orient them by using interface curvature as an applied field, and this feature is exploited to induce migration and assembly at preferred locations, and to create complex structures.
Journal ArticleDOI
Capillary interactions between anisotropic particles
TL;DR: In this article, the authors review recent advances in the field of anisotropic particles at fluid interfaces, by focusing on particles in the micron and submicron range, and discuss capillary adsorption, orientation, migration, and self-assembly, on planar and curved interfaces, and the rheology of particle-laden interfaces.
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Hard and soft colloids at fluid interfaces: Adsorption, interactions, assembly & rheology
TL;DR: Although it is well established that the transport of both hard particles and microgels to the interface is driven by diffusion, the analysis of the adsorption kinetics needs reconsideration and a proper equation of state relating the surface pressure to the Adsorbed mass should be used.
Journal ArticleDOI
Orientation and self-assembly of cylindrical particles by anisotropic capillary interactions.
Eric P. Lewandowski,Marcello Cavallaro,Marcello Cavallaro,Lorenzo Botto,Jorge C. Bernate,Valeria Garbin,Kathleen J. Stebe +6 more
TL;DR: To model the cylinder interactions for separations greater than a few radii, an anisotropic potential is derived based on elliptical quadrupoles and predicts an attractive force and a torque, both of which depend strongly on aspect ratio.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Mathematical Methods for Physicists
TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
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Integrals and Series
TL;DR: The pages of this expensive but invaluable reference work are dense with formulae of stupefying complexity as discussed by the authors, where definite/indefinite integral properties of a great variety of special functions are discussed.