10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
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
)
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Surface Tension: Walking on Water
Enrique Zeleny
Water Contact Angle for Heterogeneous Surface
Rachael L. Baumann and Nathan S. Nelson
Water Ripples Passing through a Slit
Enrique Zeleny
Partial Diversion of a Stream through a Slot
Housam Binous
Throttling High-Pressure Water
Rachael L. Baumann
Fluid Rotating in a Cylinder
Michael Schreiber
Active Shock Absorbers
Enrique Zeleny
Equation of Continuity
Enrique Zeleny
Drainage of a Hemispherical Tank
Enrique Zeleny
Diving Bell
Enrique Zeleny
Related Topics
Fluid Mechanics
Physics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+