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arXiv · 2610.04365

The ejected volume and drop statistics by bubble bursting in a sessile drop

Alfonso M. Ganan-Calvo
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Abstract

A bubble bursting inside a drop resting on a substrate can eject jet droplets where a bubble at a bath would not. We compute how much liquid it ejects and how the ejected droplets are distributed in size. The volume ejected by the jet grows by more than an order of magnitude as the Bond number decreases from $0.5$ to $0.1$ and then saturates, and the larger the Bond number, the smaller the viscosity that suppresses ejection. At zero Bond number the substrate alone extends the ejection boundary to larger Ohnesorge numbers, contrary to expectation, and yet reduces the volume ejected at the same distance from it. Gravity sets how much liquid the jet carries, not how the jet fragments: scaled with its mean, the droplet-size distribution is independent of the Bond number and has an exponential tail, as for free hollow droplets. The simulations, built on a closed family of sessile equilibria, reproduce the measured velocity of the first droplet within 7\,\%, while the volumes emitted in experiments are eight to ten times those computed for the same geometry.

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Alfonso M. Ganan-Calvo. 2026-10-03. The ejected volume and drop statistics by bubble bursting in a sessile drop. https://arxiv.org/abs/2610.04365

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