Signatures of two-dimensionalisation of 3D turbulence in the presence of rotationSagar 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
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.
47.27.-i - Turbulent flows.
47.27.Jv - High-Reynolds-number turbulence.
47.32.Ef - Rotating and swirling flows.
© Europhysics Letters Association 2007