Cooray, H. and Cicuta, P. and Vella, D. (2011) The Capillary Interaction Between Two Vertical Cylinders. Journal of Physics: Condensed Matter . (Submitted)

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Abstract
Particles floating at the surface of a liquid generally deform the liquid surface. Minimizing the energetic cost of these deformations results in an interparticle force, which is usually attractive and causes floating particles to aggregate and form surface clusters. Here we present a numerical method for determining the threedimensional meniscus around a pair of vertical circular cylinders. This involves the numerical solution of the fully nonlinear Laplace–Young equation using a meshfree finite difference method. Interparticle forceseparation curves for pairs of vertical cylinders are then calculated for different radii and contact angles. These results are compared with previously published asymptotic and experimental results.
Good agreement is found between all three approaches (numerical, asymptotic and experimental) for large interparticle separations and conditions such that the meniscus
slope remains small everywhere. This is as expected since the asymptotic results were derived using the linearized Laplace–Young equation. For steeper menisci and smaller interparticle separations, however, the numerical simulation resolves discrepancies between existing asymptotic and experimental results, demonstrating that this discrepancy was due to the nonlinearity of the Laplace–Young equation in these situations.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1472 
Deposited By:  Peter Hudston 
Deposited On:  22 Feb 2012 07:54 
Last Modified:  29 May 2015 19:10 
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