Size of the top jet drop produced by bubble bursting
Elisabeth Ghabache, Thomas S\'eon

TL;DR
This study experimentally investigates the size of jet drops produced by bubble bursting, deriving scaling laws that relate drop size to bubble radius, liquid properties, and jet velocity, clarifying the roles of viscosity, gravity, and surface tension.
Contribution
It introduces new scaling laws for predicting the top jet drop size based on bubble and liquid parameters, and decouples the effects of bubble collapse and jet dynamics.
Findings
Established a scaling law for drop size as a function of bubble radius and liquid properties.
Proposed a new scaling law based on jet velocity and liquid parameters.
Clarified the roles of viscosity, gravity, and surface tension in jet drop detachment.
Abstract
As a bubble bursts at a liquid-air interface, a tiny liquid jet rises and can release the so-called \textit{jet drops}. In this paper, the size of the top jet drop produced by a bubble bursting is investigated experimentally. We determine, and discuss, the first scaling law enabling the determination of the top jet drop size as a function of the corresponding mother bubble radius and the liquid properties (viscosity, surface tension, density), along with its regime of existence. Furthermore, in the aim of decoupling experimentally the effects of bubble collapse and jet dynamics on the drop detachment, we propose a new scaling providing the top drop size only as a function of the jet velocity and liquid parameters. In particular, this allows us to untangle the intricate roles of viscosity, gravity and surface tension in the \textit{end-pinching} of the bubble bursting jet.
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