In this paper, we experimentally study the deformation and break-up of a micron-sized polydimethylsiloxane drop in a refractive-index-matched suspension of polymethylmethacrylate particles undergoing a planar hyperbolic flow. The particles produce both short-ranged stochastic effects and macroscopic mean-field effects on the deformation and break-up of the drops. In our experiments, the relative influence of these effects was varied by changing the particle to drop-size ratio (dp/d). At small dp/d, the mean-field effects dominate and the drop deformation and break-up are only influenced by an increased effective viscosity of the suspension. At large dp/d, the local flow fluctuations and the direct interactions with particles have the dominant effect on drop dynamics. This leads to pronounced fluctuations in the drop deformation and a higher polydispersity in the drop size after break-up.
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Kaur et al. (2010) studied this question.
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