Stability of viscous long liquid filaments
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In this paper, the authors study the collapse of an axisymmetric liquid filament both analytically and by means of a numerical model, and they find that the instability of long viscous filaments can be completely explained by the Rayleigh-Plateau instability.Abstract:
We study the collapse of an axisymmetric liquid filament both analytically and by means of a numerical model. The liquid filament, also known as ligament, may either collapse stably into a single droplet or break up into multiple droplets. The dynamics of the filament are governed by the viscosity and the aspect ratio, and the initial perturbations of its surface. We find that the instability of long viscous filaments can be completely explained by the Rayleigh-Plateau instability, whereas a low viscous filament can also break up due to end pinching. We analytically derive the transition between stable collapse and breakup in the Ohnesorge number versus aspect ratio phase space. Our result is confirmed by numerical simulations based on the slender jet approximation and explains recent experimental findings by Castrejon-Pita et al.read more
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References
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I and i
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Journal ArticleDOI
Physics of liquid jets
Jens Eggers,Emmanuel Villermaux +1 more
TL;DR: A review of the fundamental and technological aspects of these subjects can be found in this article, where the focus is mainly on surface tension effects, which result from the cohesive properties of liquids Paradoxically, cohesive forces promote the breakup of jets, widely encountered in nature, technology and basic science.