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arXiv · 1207.1057

Coarsening rates for the dynamics of slipping droplets

Georgy Kitavtsev
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Abstract

We derive reduced finite dimensional ODE models starting from one dimensional lubrication equations describing coarsening dynamics of droplets in nanometric polymer film interacting on a hydrophobically coated solid substrate in the presence of large slippage at the liquid/solid interface. In the limiting case of infinite slip length corresponding in applications to free films a collision/absorption model then arises and is solved explicitly. The exact coarsening law is derived for it analytically and confirmed numerically. Existence of a threshold for the decay of initial distributions of droplet distances at infinity at which the coarsening rates switch from algebraic to exponential ones is shown.

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Georgy Kitavtsev. 2012-07-04. Coarsening rates for the dynamics of slipping droplets. https://doi.org/10.1017/s0956792513000314

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