dorsal/arxiv
View SchemaSlow dynamics in a turbulent von K\'arm\'an swirling flow
| Authors | Alberto de la Torre, Javier Burguete |
|---|---|
| Categories | |
| ArXiv ID | physics/0702151 |
| URL | https://arxiv.org/abs/physics/0702151 |
| DOI | 10.1103/PhysRevLett.99.054101 |
| Journal | Phys. Rev. Lett. 99, 054101 (2007) |
Abstract
We present an experimental study of a turbulent von K\'arm\'an flow produced in a cylindrical container using two propellers. The mean flow is stationary up to $Re = 10^4$, where a bifurcation takes place. The new regime breaks some symmetries of the problem, and is time-dependent. The axisymmetry is broken by the presence of equatorial vortices with a precession movement, being the velocity of the vortices proportional to the Reynolds number. The reflection symmetry through the equatorial plane is broken, and the shear layer of the mean flow appears displaced from the equator. These two facts appear simultaneously. In the exact counterrotating case, a bistable regime appears between both mirrored solutions and spontaneous reversals of the azimuthal velocity are registered. This evolution can be explained using a three-well potential model with additive noise. A regime of forced periodic response is observed when a very weak input signal is applied.
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"abstract": "We present an experimental study of a turbulent von K\\\u0027arm\\\u0027an flow produced\nin a cylindrical container using two propellers. The mean flow is stationary up\nto $Re = 10^4$, where a bifurcation takes place. The new regime breaks some\nsymmetries of the problem, and is time-dependent. The axisymmetry is broken by\nthe presence of equatorial vortices with a precession movement, being the\nvelocity of the vortices proportional to the Reynolds number. The reflection\nsymmetry through the equatorial plane is broken, and the shear layer of the\nmean flow appears displaced from the equator. These two facts appear\nsimultaneously. In the exact counterrotating case, a bistable regime appears\nbetween both mirrored solutions and spontaneous reversals of the azimuthal\nvelocity are registered. This evolution can be explained using a three-well\npotential model with additive noise. A regime of forced periodic response is\nobserved when a very weak input signal is applied.",
"arxiv_id": "physics/0702151",
"authors": [
"Alberto de la Torre",
"Javier Burguete"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevLett.99.054101",
"journal_ref": "Phys. Rev. Lett. 99, 054101 (2007)",
"title": "Slow dynamics in a turbulent von K\\\u0027arm\\\u0027an swirling flow",
"url": "https://arxiv.org/abs/physics/0702151"
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