Denis Terwagne, François Ludewig, Nicolas Vandewalle, Stéphane Dorbolo
Droplets bouncing on a vibrated liquid bath open ways to methods of manipulating droplets, creating double emulsion and performing pilot wave model experiments. Many periodic trajectories and resonant modes are observed when tuning the forcing parameters. This complex dynamics emphasizes the interplay between elastic energy storage and energy dissipation at each bounce. We propose to model droplets using a bouncing mass-spring-damper system that mimics a deformable droplet bouncing on a non-deformable liquid bath. From the experimental measurements, we constructed bifurcation diagrams of the bouncing trajectories and challenged our bouncing spring model. The agreement between experiment and the spring model reveals that this model can be used to rationalize and predict a variety of bouncing droplets behaviors involving multi-periodicities.
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http://arxiv.org/abs/1301.7463
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