Issue
EPL
Volume 79, Number 1, July 2007
Article Number 14002
Number of page(s) 5
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/79/14002
Published online 06 June 2007
EPL, 79 (2007) 14002
DOI: 10.1209/0295-5075/79/14002

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

Sagar Chakraborty

S.N. Bose National Centre for Basic Sciences, Theoretical physics department, Sector-III, Block - JD, Salt Lake, Kolkata-700 098 India


received 5 February 2007; accepted in final form 15 May 2007; published July 2007
published online 6 June 2007

Abstract
A reason has been given for the inverse energy cascade in the two-dimensionalised rapidly rotating 3D incompressible turbulence. For such system, the literature shows a possibility for the wave number exponent in the energy spectrum's relation to lie between -2 and -3. We argue the existence of a stricter 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 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.

PACS
47.27.-i - Turbulent flows.
47.27.Jv - High-Reynolds-number turbulence.
47.32.Ef - Rotating and swirling flows.

© Europhysics Letters Association 2007