dorsal/arxiv
View SchemaAsymmetric, helical and mirror-symmetric travelling waves in pipe flow
| Authors | Chris Pringle, Rich Kerswell |
|---|---|
| Categories | |
| ArXiv ID | physics/0703210 |
| URL | https://arxiv.org/abs/physics/0703210 |
| DOI | 10.1103/PhysRevLett.99.074502 |
Abstract
New families of three-dimensional nonlinear travelling waves are discovered in pipe flow. In contrast to known waves (Faisst & Eckhardt Phys. Rev. Lett. 91, 224502 (2003), Wedin & Kerswell, J. Fluid Mech. 508, 333 (2004)), they possess no rotational symmetry and exist at much lower Reynolds numbers. Particularly striking is an `asymmetric mode' which has one slow streak sandwiched between two fast streaks located preferentially to one side of the pipe. This family originates in a pitchfork bifurcation from a mirror-symmetric travelling wave which can be traced down to a Reynolds number of 773. Helical and non-helical rotating waves are also found emphasizing the richness of phase space even at these very low Reynolds numbers. The delay in Reynolds number from when the laminar state ceases to be a global attractor to turbulent transition is then even larger than previously thought.
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"abstract": "New families of three-dimensional nonlinear travelling waves are discovered\nin pipe flow. In contrast to known waves (Faisst \u0026 Eckhardt Phys. Rev. Lett.\n91, 224502 (2003), Wedin \u0026 Kerswell, J. Fluid Mech. 508, 333 (2004)), they\npossess no rotational symmetry and exist at much lower Reynolds numbers.\nParticularly striking is an `asymmetric mode\u0027 which has one slow streak\nsandwiched between two fast streaks located preferentially to one side of the\npipe. This family originates in a pitchfork bifurcation from a mirror-symmetric\ntravelling wave which can be traced down to a Reynolds number of 773. Helical\nand non-helical rotating waves are also found emphasizing the richness of phase\nspace even at these very low Reynolds numbers. The delay in Reynolds number\nfrom when the laminar state ceases to be a global attractor to turbulent\ntransition is then even larger than previously thought.",
"arxiv_id": "physics/0703210",
"authors": [
"Chris Pringle",
"Rich Kerswell"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevLett.99.074502",
"title": "Asymmetric, helical and mirror-symmetric travelling waves in pipe flow",
"url": "https://arxiv.org/abs/physics/0703210"
},
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