We study numerically bubbles bursting at a free surface. The Navier-Stokes equations with a free surface and surface tension are solved using a marker-chain approach. Initial conditions involve a bubble connected to the outside atmosphere by a preexisting opening in a thin liquid layer. The evolution of the bubble is studied as a function of bubble radius. The results show that the jet birth may occur with or without the formation of a tiny air bubble at the base of the jet. A series of critical radiuses exist, for which a transition from a dynamics with or without bubbles exist. This singularity is compared to the ones investigated in other contexts such Faraday waves.
Jet Formation in Bubbles Bursting at a Free Surface
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Duchemin, L, & Zaleski, S. "Jet Formation in Bubbles Bursting at a Free Surface." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 1: Fora, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 817-821. ASME. https://doi.org/10.1115/FEDSM2002-31142
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