Abstract
When a droplet with a relatively high density falls into a miscible solution with a relatively low density, the droplet breaks up spontaneously. We investigated the number of breakup in experiments with several density differences between two solutions, viscosities , and droplet radii . The mode number has a distribution even under the same experimental conditions. We propose a simple model of mode selection based on the linear Rayleigh-Taylor instability and the growing radius of a vortex ring deformed from the droplet. The model provides the probability distribution and a relationship between the nondimensional parameter and the average value of , which are consistent with experimental results.
4 More- Received 23 March 2017
DOI:https://doi.org/10.1103/PhysRevFluids.4.013603
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