Delayed capillary breakup of falling viscous jets

A. Javadi; J. Eggers; D. Bonn; M. Habibi; N.M. Ribe

doi:10.1103/PhysRevLett.110.144501

Delayed capillary breakup of falling viscous jets

A. Javadi^*, J. Eggers, D. Bonn, M. Habibi, N.M. Ribe

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

50 Citations (Scopus)

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 l_b depends on the flow rate Q, the viscosity η, and the surface tension coefficient γ. In the asymptotic limit of a high-viscosity jet, l_b∼(gQ2η4/γ4)1/3, where g is the gravitational acceleration. The agreement between theory and experiment is good, except for very long jets.

Original language	English
Article number	144501
Journal	Physical Review Letters
Volume	110
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.110.144501
Publication status	Published - 1 Apr 2013
Externally published	Yes

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title = "Delayed capillary breakup of falling viscous jets",

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.",

author = "A. Javadi and J. Eggers and D. Bonn and M. Habibi and N.M. Ribe",

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T1 - Delayed capillary breakup of falling viscous jets

AU - Javadi, A.

AU - Eggers, J.

AU - Bonn, D.

AU - Habibi, M.

AU - Ribe, N.M.

PY - 2013/4/1

Y1 - 2013/4/1

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.110.144501

DO - 10.1103/PhysRevLett.110.144501

M3 - Article

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SN - 0031-9007

VL - 110

JO - Physical Review Letters

JF - Physical Review Letters

IS - 14

M1 - 144501

ER -

Delayed capillary breakup of falling viscous jets

Abstract

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