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Jet droplets from bubble bursting are determined by a limited parametricalspace: the liquid properties (surface tension, viscosity, and density), motherbubble size and acceleration of gravity. Thus, the two resulting parametersfrom dimensional analysis (usually, the Ohnesorge and Bond numbers, Oh and Bo)completely define this phenomenon when both the trapped gas in the bubble andthe environment gas have negligible density. A detailed physical description ofthe ejection process to model both the ejected droplet radius and its initiallaunch speed is provided, leading to a scaling law including both Oh and Bo.Two critical values of Oh determine two limiting situations: one (Oh$_1$=0.038)is the critical value for which the ejected droplet size is minimum and theejection speed maximum, and the other (Oh$_2$=0.0045) is a new critical valuewhich signals when viscous effects vanish. Gravity effects (Bo) areconsistently introduced from energy conservation principles. The proposedscaling laws produce a remarkable collapse of published experimentalmeasurements collected for both the ejected droplet radius and ejection speed.

Scaling laws of top jet drop size and speed from bubble bursting including gravity and inviscid limit