Bubble bursting: universal cavity and jet profiles

Jens Eggers, Ching-Yao Lai, Luc Deike

Research output: Contribution to journalArticle (Academic Journal)peer-review

35 Citations (Scopus)
198 Downloads (Pure)

Abstract

After a bubble bursts at a liquid surface, the collapse of the cavity generates capillary waves, which focus on the axis of symmetry to produce a jet. The cavity and jet dynamics are primarily controlled by a non-dimensional number that compares capillary inertia and viscous forces, i.e. the Laplace number La= ργR0/μ2, where ρ,μ,γ and R0 are the liquid density, viscosity, interfacial tension, and the initial bubble radius, respectively. In this paper, we show that the time-dependent profiles of cavity collapse (t < t0) and jet formation (t > t0) both obey a |t − t0|2/3 inviscid scaling, which results from a balance between surface tension and inertia forces. Moreover, we present a universal scaling, valid above a critical Laplace number, which reconciles the time-dependent scaling with the recent scaling theory that links the Laplace number to the final jet velocity and ejected droplet size. This leads to a single universal self-similar formula which describes the full history of the jetting process, from cavity collapse to droplet formation.
Original languageEnglish
Article number144501
Number of pages5
JournalPhysical Review Letters
Volume121
Early online date2 Oct 2018
DOIs
Publication statusPublished - 5 Oct 2018

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