Solution of the Young-Laplace equation for three particles

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Date
2003
DOI
Open Access Location
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Publisher
Massey University
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Abstract
This paper presents the solution to the liquid bridge profile formed between three equally sized spherical primary particles. The particles are equally separated, with sphere centres located on the vertices of an equilateral triangle. Equations for the problem are derived and solved numerically for given constant mean curvature H0, contact angle , and inter-particle separation distance S. The binding force between particles is calculated and plotted as a function of liquid bridge volume for a particular example. Agreement with experiment is provided.
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Keywords
Liquid bridges, Particles
Citation
Rynhart, P.R., McLachlan, R., Jones, J.R., McKibbin, R. (2003), Solution of the Young-Laplace equation for three particles, Research Letters in the Information and Mathematical Sciences, 5, 119-127