Observations on Rapidly Rotating Turbulence

  • P. A. Davidson
  • P. J. Staplehurst
  • S. B. Dalziel
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 28)


Experiments on rapidly rotating turbulence have been reported in recent years in which the Rossby number, Ro, drifts down towards unity as the energy of the turbulence decays (Davidson et al., 2006; Staplehurst et al., 2008). The experiments were performed in a large vessel, approximately 35 integral scales in each direction. Moreover, any mean flow was carefully suppressed and so the resulting motion constitutes a good approximation to homogeneous turbulence. In line with other experiments, and certain numerical simulations, four robust phenomena were observed: (i) when Ro reaches a value close to unity, columnar eddies start to form and these eventually dominate the large, energy-containing scales; (ii) during the formation of these columnar eddies, the integral scale parallel to the rotation axis grows linearly with time; (iii) more cyclones than anticyclones are observed; and (iv) the rate of energy decay is reduced by rotation. The experiments also show that, despite the fact that Ro∼1, the columnar eddies form through simple linear wave propagation, in which inertial waves pump energy along the rotation axis. In this paper we explain: (i) why columnar vortices form in such experiments; (ii) why linear behaviour dominates the dynamics in (Staplehurst et al., 2008), even though Ro∼1; and (iii) why cyclones are more frequently observed than anticyclones. We also re-examine the energy decay data in (Staplehurst et al., 2008) and show that, to a reasonable approximation, it takes the form u 2∼(Ωt)−1. We offer one possible explanation for this behaviour.


Rotation Axis Columnar Structure Integral Scale Energy Decay Vortex Sheet 
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  1. [1]
    Davidson, P.A., Staplehurst, P.J. & Dalziel S.B., 2006, On the evolution of eddies in a rapidly rotating system. J Fluid Mech. 557, 135-144. CrossRefGoogle Scholar
  2. [2]
    Staplehurst P.J., Davidson P.A. & Dalziel S.B., 2008, Structure formation in homogeneous freely decaying rotating turbulence. J. Fluid Mech. 598, 81-105. CrossRefGoogle Scholar
  3. [3]
    Hopfinger, E.J., Browand, F.K. & Gagne, Y., 1982, Turbulence and waves in a rotating tank. J. Fluid Mech. 125, 505-534. CrossRefGoogle Scholar
  4. [4]
    Morize, C., Moisy, F. & Rabaud, M., 2005, Decaying grid-generated turbulence in a rotating tank. Phys. Fluids 17, 095105. CrossRefGoogle Scholar
  5. [5]
    Morize, C. & Moisy, F., 2006, Energy decay of rotating turbulence with confinement effects. Phys. Fluids 18, 065107. CrossRefGoogle Scholar
  6. [6]
    Waleffe, F., 1993, Inertial transfers in the helical decomposition. Phys. Fluids A 5 (3), 667-685. CrossRefGoogle Scholar
  7. [7]
    Smith, L.M. & Waleffe, F., 1999, Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence. Phys. Fluids 11 (6), 1608-1622. CrossRefGoogle Scholar
  8. [8]
    Smith, L.M. & Lee, Y., 2005, On near resonances and symmetry breaking in forced rotating flows at moderate Rossby number. J. Fluid Mech. 535, 111-142. CrossRefGoogle Scholar
  9. [9]
    Cambon, C., Mansour, N.N. & Godeferd, F.S., 1997, Energy transfer in rotating turbulence. J. Fluid Mech. 337, 303-332. CrossRefGoogle Scholar
  10. [10]
    Sreenivasan, B. & Davidson, P.A., 2008, On the formation of cyclones and anticyclones in a rotating fluid. Phys. Fluids 20 (8), 085104. CrossRefGoogle Scholar
  11. [11]
    Davidson, P.A., Sreenivasan, B. & Aspden, A.J., 2007, Evolution of localized blobs of swirling or buoyant fluid with and without an ambient magnetic field. Phys. Rev. E 75, 026304. CrossRefGoogle Scholar
  12. [12]
    Gence, J.-N. & Frick C., 2001, Naissance des correlations triple de vorticite dans une turbulence homogene soumise a une rotation. C. R. Acad. Sc. Paris, Ser. IIB 329, 351-362. Google Scholar
  13. [13]
    Davidson, P.A., 2004, Turbulence, an introduction for scientists and engineers, Oxford University Press. Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • P. A. Davidson
    • 1
  • P. J. Staplehurst
  • S. B. Dalziel
  1. 1.Department of EngineeringUniversity of CambridgeCambridgeUK

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