Journal Article
A Cascade of Structure in a Drop Falling from a Faucet
X. D. Shi, Michael P. Brenner and Sidney R. Nagel
Science
New Series, Vol. 265, No. 5169 (Jul. 8, 1994), pp. 219-222
Published by: American Association for the Advancement of Science
Stable URL: http://www.jstor.org/stable/2884174
Page Count: 4
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Topics: Simulations, Nozzles, Liquids, Viscosity, Faucets, Fluids, Navier Stokes equation, Noise spectra, Mass, Hydrodynamics
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Abstract
A drop falling from a faucet is a common example of a mass fissioning into two or more pieces. The shape of the liquid in this situation has been investigated by both experiment and computer simulation. As the viscosity of the liquid is varied, the shape of the drop changes dramatically. Near the point of breakup, viscous drops develop long necks that then spawn a series of smaller necks with ever thinner diameters. Simulations indicate that this repeated formation of necks can proceed ad infinitum whenever a small but finite amount of noise is present in the experiment. In this situation, the dynamical singularity occurring when a drop fissions is characterized by a rough interface.
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Science © 1994 American Association for the Advancement of Science