TY - JOUR
T1 - Bubble Bursting
T2 - Universal Cavity and Jet Profiles
AU - Lai, Ching Yao
AU - Eggers, Jens
AU - Deike, Luc
N1 - Funding Information:
We thank Howard A. Stone, Thomas Seon, and Stephane Popinet for helpful discussions. C. Y. L. acknowledges Andlinger Center for Energy and the Environment at Princeton University for partial support through the Maeder Graduate Fellowship. L. D. acknowledges support from the Princeton Environmental Institute at Princeton University and the Urban Grand Challenge program, and the Cooperative Institute for Climate Sciences between NOAA and Princeton University. J. E. acknowledges support by the Leverhulme Trust through International Academic Fellowship IAF-2017-010. Computations were partially performed using allocation TG-OCE140023 to L. D. from the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by NSF Grant No. ACI-1053575.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/10/2
Y1 - 2018/10/2
N2 - 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 nondimensional 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 Letter, we show that the time-dependent profiles of cavity collapse (tt0) both obey a |t-t0|2/3 inviscid scaling, which results from a balance between surface tension and inertia forces. Moreover, we present a scaling law, 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 self-similar formula which describes the history of the jetting process, from cavity collapse to droplet formation.
AB - 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 nondimensional 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 Letter, we show that the time-dependent profiles of cavity collapse (tt0) both obey a |t-t0|2/3 inviscid scaling, which results from a balance between surface tension and inertia forces. Moreover, we present a scaling law, 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 self-similar formula which describes the history of the jetting process, from cavity collapse to droplet formation.
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U2 - 10.1103/PhysRevLett.121.144501
DO - 10.1103/PhysRevLett.121.144501
M3 - Article
C2 - 30339416
AN - SCOPUS:85054477465
VL - 121
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 14
M1 - 144501
ER -