Rotating turbulence evolving freely from an initial quasi 2D state

  • M. Mory
  • E.J. Hopfinger
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


Recent experiments demonstrated the existence of quasi-twodimensional turbulence in a boundary-forced fluid system subjected to strong rotation. The principal results are briefly recalled and an inertial wave mechanism is proposed as an explaination for the observed sudden transition from 3D turbulence to a quasi-twodimensional turbulent flow. The main contribution of the paper is however concerned with the freely evolving state, obtained when the forcing is suddenly stopped. Experiments show an increase in time of the turbulence length scale, indicating an inverse energy flux. These observations are analysed in terms of a similarity theory derived for evolving turbulence with Ekman friction. The scale increase is by pairing of vortices of like sign and by large scale unsteady meandering motions.


Turbulent Velocity Integral Length Scale Rossby Number Homogeneous Turbulence Turbulence Length Scale 
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  1. (1).
    Rhines,P.B.-“Geostrophic Turbulence”,Ann.Rev.Fluid Mech,1979,11,401–441.Google Scholar
  2. (2).
    Gough D.O and Lynden-Bell D.-“Vorticity expulsion by turbulence: astrophysical implications of an Alka-Seltzer experiment”,J.Fluid Mech.,1968,32,437–447.Google Scholar
  3. (3).
    Bretherton F.P. and Turner J.S.-“On the mixing of angular momentum in a stirred rotating fluid”,J.Fluid Mech.,1968,32,449–464.Google Scholar
  4. (4).
    Colin de Verdière A.-“Quasi geostrophique turbulence in a rotating homogeneous fluid”,Geophys.Astrophys.Fluid Dyn.,1980,15,213–251.Google Scholar
  5. (5).
    McEwan A.D.-“Angular momentum diffusion and the initiation of cyclones”,Nature, 1976,260,126–128.Google Scholar
  6. (6).
    Hopfinger E.J.,Browand F.K. and Gagne Y.-“Turbulence and waves in a rotating tank”, J.Fluid Mech.,1982,125,505–534.Google Scholar
  7. (7).
    Dickinson S.C and Long R.R.,-“Oscillating grid turbulence including effects of rotation”,J.Fluid Mech.,1982,126,315–333.Google Scholar
  8. (8).
    Hopfinger E.J., Griffiths R.W. and Mory M.-“The structure of turbulence in homogeneous and stratified rotating fluids”,J.Mech.Theor.Appl.,1983,Numero spécia1,21–44.Google Scholar
  9. (9).
    Ibbetson A. and Tritton D.J.-“Experiments on turbulence in a rotating fluid”, J.Fluid Mech.,1975,68,639–672.Google Scholar
  10. (10).
    Wigeland R.A. and.Nagib H.M.-“Grid generated turbulence with and whithout rotation about the streamwise direction”,IIT fluids an heat transfer report R78-I,Illinois Inst. of Tech.,Chicago,Illinois,1978.Google Scholar
  11. (11).
    Roy P. and Dang K.-“Numerical simulations of homogeneous turbulence subject to strong rotation”,10th EGS Annual meeting,Louvain la Neuve,Belgium,1984.Google Scholar
  12. (12).
    Hopfinger E.J.,Mory M. and Gagne Y.-“Two dimensionalisation by rotational constraints of homogeneous turbulence”, IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids,1983,Kyoto,Japan.Google Scholar
  13. (13).
    Mory M.-“Turbulence dans un fluide soumis à forte rotation”,Thèse de Docteur Ingenieur, Inst. National Polytech. de Grenoble,1984.Google Scholar
  14. (14).
    Hopfinger E.J. and Toly A.J.-“Spatially decaying turbulence and its relation to mixing accross density interfaces”,J.Fluid Mech.,1976,78,155–175.Google Scholar
  15. (15).
    Thompson S.M. and Turner J.S.-“Mixing accross an interface due to turbulence generated by an oscillating grid”,J.Fluid Mech.,1975,67,349–368.Google Scholar
  16. (16).
    Cambon C.-“Departure from isotropy of an homogeneous turbulence submitted to rotation”,10th EGS Annual Meeting,Louvain la Neuve,Belgium,l984.Google Scholar
  17. (17).
    Stillinger D.C.,Helland K.N. and Van Atta C.W.-“Experiments on the transition of homogeneous turbulence to internal waves in a stratified fluid”,J.Fluid Mech.,1983,131,91–122.Google Scholar
  18. (18).
    Morel P. and Larchevêque M.-“Relative dispersion of constant level balloons in the 200mb general circulation”,J.Atmos.Sci.,1974,31,2189–2196.Google Scholar
  19. (19).
    Griffiths R.W. and Hopfinger E.J.-“The structure of mesoscale turbulence and ocean spreading at ocean fronts”,Deep-Sea Res.,1984,31,245–269.Google Scholar
  20. (20).
    Buzina G.,Pfeffer R.L. and Kung R.-“Transition to geostrophic turbulence in a rotating differentially heated annulus of fluid”,J.Fluid Mech.,1984,145,377–403.Google Scholar
  21. (21).
    Batchelor G.K.-“Computation of the energy spectrum in homogeneous two-dimensional turbulence”,Phys. of Fluids,1969,Suppl. 11,12,233–238.Google Scholar
  22. (22).
    McWilliams J.C.-“The emergence of isolated coherent vortices in turbulent flow”, J.Fluid Mech.,1984,146,21–43.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • M. Mory
    • 1
  • E.J. Hopfinger
    • 1
  1. 1.Institut de Mécanique de GrenobleSaint Martin d'Hères cédexFrance

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