Volume 79, Number 1, July 2007
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||06 June 2007|
Signatures of two-dimensionalisation of 3D turbulence in the presence of rotation
S.N. Bose National Centre for Basic Sciences, Theoretical physics department, Sector-III, Block - JD, Salt Lake, Kolkata-700 098 India
Accepted: 15 May 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 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
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