The capillary trapping by a pair of horizontal cylinders

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• Himantha Cooray (DAMTP)
• Friday 21 February 2014, 16:38-16:48
• MR2, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

If you have a question about this talk, please contact Dr C. P. Caulfield.

We study the trapping of a liquid between a pair of horizontal cylinders, as the first step towards the detailed understanding of the trapping properties of a porous medium. The shape of the trapped liquid has to satisfy the Laplace-Young equation. By means of an analytical solution to this nonlinear differential equation, we determine the shape of the trapped droplet and determine the physical parameters that maximize the trapped volume. Our results show that for small cylinders, the largest trapping occurs when the distance between the cylinders is equal to the capillary length. We also verify our analytical results using experiments and simpler asymptotic solutions.

This talk is part of the Fluid Mechanics (DAMTP) series.

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