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Plateau-Rayleigh Instability in Water Stream
When water pours from a faucet, instead of keeping a cylindrical flow, the fluid tends to break into drops due to surface tension; Joseph Plateau studied this phenomenon, and it was explained theoretically by Rayleigh.
Contributed by:
Enrique Zeleny
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In the simplest approximation, the radius of the stream along the
axis at an intermediate stage before breaking into drops is given by
,
where
is the radius of the strand,
is the wave number, and the
are the amplitudes of the perturbations.
References
[1] Wikipedia. "Plateau–Rayleigh Instability." (Apr 28, 2014)
en.wikipedia.org/wiki/Plateau% E2 %80 %93 Rayleigh_instability
.
[2] V. Y. Chen.
Surface Tension: Plateau Rayleigh Instability
[Video]. (Apr 28, 2014)
www.youtube.com/watch?v=ml4KEy4N0gc
.
[3] U. Miyamoto, "Curvature Driven Diffusion, Rayleigh–Plateau, and Gregory–Laflamme."
arxiv.org/pdf/0804.1723v2.pdf
.
RELATED LINKS
Wavenumber
(
ScienceWorld
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Surface Tension
(
ScienceWorld
)
PERMANENT CITATION
Enrique Zeleny
"
Plateau-Rayleigh Instability in Water Stream
"
http://demonstrations.wolfram.com/PlateauRayleighInstabilityInWaterStream/
Wolfram Demonstrations Project
Published: April 30, 2014
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