Plateau-Rayleigh Instability in Water Stream
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.
Details
Details
In the simplest approximation, the radius of the stream along the axis at an intermediate stage before breaking into drops is given by
z
r(z)=+cos(kz)
R
0
A
k
where is the radius of the strand, is the wave number, and the are the amplitudes of the perturbations.
R
0
k
A
k
References
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.
External Links
External Links
Permanent Citation
Permanent Citation
Enrique Zeleny
"Plateau-Rayleigh Instability in Water Stream"
http://demonstrations.wolfram.com/PlateauRayleighInstabilityInWaterStream/
Wolfram Demonstrations Project
Published: April 30, 2014