dorsal/arxiv
View SchemaAnalytical theory of forced rotating sheared turbulence. I. Perpendicular case
| Authors | Nicolas Leprovost, Eun-Jin Kim |
|---|---|
| Categories | |
| ArXiv ID | physics/0701106 |
| URL | https://arxiv.org/abs/physics/0701106 |
| DOI | 10.1103/PhysRevE.78.016301 |
Abstract
We provide a consistent theory of turbulence in the presence of shear and rotation. Starting from a quasi-linear equation for the fluctuating fields, we derive turbulence amplitude and turbulent transport coefficients, taking into account the effect of shear and rotation on turbulence. We show that the shear reduces both turbulence amplitude and transport, more strongly in the direction parallel to the shear than in the perpendicular one, effectively inducing an anisotropic turbulence. The rotation further reduces turbulence amplitude and transport. The interaction between the shear and the rotation is shown to give rise to a novel non-diffusive flux of angular momentum ($\Lambda$-effect), providing a mechanism for the permanence of shearing structure in astrophysical and geophysical systems.
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"abstract": "We provide a consistent theory of turbulence in the presence of shear and\nrotation. Starting from a quasi-linear equation for the fluctuating fields, we\nderive turbulence amplitude and turbulent transport coefficients, taking into\naccount the effect of shear and rotation on turbulence. We show that the shear\nreduces both turbulence amplitude and transport, more strongly in the direction\nparallel to the shear than in the perpendicular one, effectively inducing an\nanisotropic turbulence. The rotation further reduces turbulence amplitude and\ntransport. The interaction between the shear and the rotation is shown to give\nrise to a novel non-diffusive flux of angular momentum ($\\Lambda$-effect),\nproviding a mechanism for the permanence of shearing structure in astrophysical\nand geophysical systems.",
"arxiv_id": "physics/0701106",
"authors": [
"Nicolas Leprovost",
"Eun-Jin Kim"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.78.016301",
"title": "Analytical theory of forced rotating sheared turbulence. I. Perpendicular case",
"url": "https://arxiv.org/abs/physics/0701106"
},
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