dorsal/arxiv
View SchemaSignatures of two-dimensionalisation of 3D turbulence in presence of rotation
| Authors | Sagar Chakraborty |
|---|---|
| Categories | |
| ArXiv ID | physics/0701201 |
| URL | https://arxiv.org/abs/physics/0701201 |
| DOI | 10.1209/0295-5075/79/14002 |
| Journal | EPL 79 (2007) 14002 |
Abstract
A reason has been given for the inverse energy cascade in the two-dimensionalised rapidly rotating 3D incompressible turbulence. For such system, literature shows a possibility of the exponent of wavenumber in the energy spectrum's relation to lie between -2 and -3. We argue the existence of a more strict range of -2 to -7/3 for the exponent in the case of rapidly rotating turbulence which is in accordance with the recent experiments. Also, a rigorous derivation for the two point third order structure function has been provided helping one to argue that even with slow rotation one gets, though dominated, a spectrum with the exponent -2.87, thereby hinting at the initiation of the two-dimensionalisation effect with rotation.
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"abstract": "A reason has been given for the inverse energy cascade in the\ntwo-dimensionalised rapidly rotating 3D incompressible turbulence. For such\nsystem, literature shows a possibility of the exponent of wavenumber in the\nenergy spectrum\u0027s relation to lie between -2 and -3. We argue the existence of\na more strict range of -2 to -7/3 for the exponent in the case of rapidly\nrotating turbulence which is in accordance with the recent experiments. Also, a\nrigorous derivation for the two point third order structure function has been\nprovided helping one to argue that even with slow rotation one gets, though\ndominated, a spectrum with the exponent -2.87, thereby hinting at the\ninitiation of the two-dimensionalisation effect with rotation.",
"arxiv_id": "physics/0701201",
"authors": [
"Sagar Chakraborty"
],
"categories": [
"physics.flu-dyn",
"cond-mat.other"
],
"doi": "10.1209/0295-5075/79/14002",
"journal_ref": "EPL 79 (2007) 14002",
"title": "Signatures of two-dimensionalisation of 3D turbulence in presence of rotation",
"url": "https://arxiv.org/abs/physics/0701201"
},
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