Signatures of two-dimensionalisation of 3D turbulence in presence of rotation

Details Signatures of two-dimensionalisation of 3D turbulence in presence of rotation Signatures of two-dimensionalisation of 3D turbulence in presence of rotation

2007-01-18

arxiv.org/abs/physics/0701201v2

EPL 79 (2007) 14002

Physics

Fluid Dynamics

An extended and typos-corrected version of the earlier submission

Scientific paper

10.1209/0295-5075/79/14002

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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