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Dynamical theory of the inverted cheerios effect

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Karpitschka,  Stefan
Group Fluidics in heterogeneous environments, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Pandey, A., Karpitschka, S., Lubbers, L. A., Weijs, J. H., Botto, L., Das, S., et al. (2017). Dynamical theory of the inverted cheerios effect. Soft Matter, 13(35), 6000-6010. doi:10.1039/C7SM00690J.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-D5EF-1
Abstract
Recent experiments have shown that liquid drops on highly deformable substrates exhibit mutual interactions. This is similar to the Cheerios effect, the capillary interaction of solid particles at a liquid interface, but now the roles of solid and liquid are reversed. Here we present a dynamical theory for this inverted Cheerios effect, taking into account elasticity, capillarity and the viscoelastic rheology of the substrate. We compute the velocity at which droplets attract, or repel, as a function of their separation. The theory is compared to a simplified model in which the viscoelastic dissipation is treated as a localized force at the contact line. It is found that the two models differ only at small separation between the droplets, and both of them accurately describe experimental observations.