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Delayed Capillary Breakup of Falling Viscous Jets

A. Javadi, J. Eggers, D. Bonn, M. Habibi, and N. M. Ribe
Phys. Rev. Lett. 110, 144501 – Published 1 April 2013; Erratum Phys. Rev. Lett. 110, 179902 (2013)
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Abstract

Thin jets of viscous fluid like honey falling from capillary nozzles can attain lengths exceeding 10 m before breaking up into droplets via the Rayleigh-Plateau (surface tension) instability. Using a combination of laboratory experiments and WKB analysis of the growth of shape perturbations on a jet being stretched by gravity, we determine how the jet’s intact length lb depends on the flow rate Q, the viscosity η, and the surface tension coefficient γ. In the asymptotic limit of a high-viscosity jet, lb(gQ2η4/γ4)1/3, where g is the gravitational acceleration. The agreement between theory and experiment is good, except for very long jets.

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  • Received 28 December 2012
  • Corrected 15 April 2013

DOI:https://doi.org/10.1103/PhysRevLett.110.144501

© 2013 American Physical Society

Corrections

15 April 2013

Erratum

Publisher’s Note: Delayed Capillary Breakup of Falling Viscous Jets [Phys. Rev. Lett. 110, 144501 (2013)]

A. Javadi, J. Eggers, D. Bonn, M. Habibi, and N. M. Ribe
Phys. Rev. Lett. 110, 179902 (2013)

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Dripping Honey Explained

Published 1 April 2013

New theory and experiments explain why the lengthy strands that dangle from a spoon of honey can get so long without breaking up.

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Authors & Affiliations

A. Javadi1,2, J. Eggers3, D. Bonn2,4, M. Habibi1, and N. M. Ribe5

  • 1Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran
  • 2Laboratoire de Physique Statistique, École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
  • 3School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
  • 4Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, the Netherlands
  • 5Lab FAST, UPMC, Université Paris-Sud, CNRS, Bâtiment 502, Campus Université, 91405 Orsay, France

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Issue

Vol. 110, Iss. 14 — 5 April 2013

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