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Transitions in turbulent rotating convection: A Lagrangian perspective

Hadi Rajaei*, Pranav Joshi, Kim M. J. Alards, Rudie P. J. Kunnen, Federico Toschi, and Herman J. H. Clercx

  • Fluid Dynamics Laboratory, Department of Applied Physics and J. M. Burgers Center for Fluid Dynamics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, the Netherlands

  • *h.rajaei@tue.nl
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Phys. Rev. E 93, 043129 – Published 29 April, 2016

DOI: https://doi.org/10.1103/PhysRevE.93.043129

Abstract

Using measurements of Lagrangian acceleration in turbulent rotating convection and accompanying direct numerical simulations, we show that the transition between turbulent states reported earlier [e.g., S. Weiss et al., Phys. Rev. Lett. 105, 224501 (2010)] is a boundary-layer transition between the Prandtl-Blasius type (typical of nonrotating convection) and Ekman type.

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References (44)

  1. J. Marshall and F. Schott, Rev. Geophys. 37, 1 (1999).
  2. J. Gascard, A. J. Watson, M. J. Messias, K. A. Olsson, T. Johannessen, and K. Simonsen, Nature (London) 416, 525 (2002).
  3. P. Wadhams, J. Holfort, E. Hansen, and J. P. Wilkinson, Geophys. Res. Lett. 29, 1434 (2002).
  4. D. L. Hartmann, L. A. Moy, and Q. Fu, J. Climate 14, 4495 (2001).
  5. M. S. Miesch, Solar Phys. 192, 59 (2000).
  6. M. G. Dunn, J. Turbomach. 123, 637 (2001).
  7. J. P. Johnston, Int. J. Rot. Mach. 4, 97 (1998).
  8. H. Van Santen, C. R. Kleijn, and H. E. A. Van Den Akker, J. Cryst. Growth 212, 299 (2000).
  9. R. P. J. Kunnen, H. J. H. Clercx, and B. J. Geurts, Europhys. Lett. 84, 24001 (2008).
  10. R. J. A. M. Stevens, J.-Q. Zhong, H. J. H. Clercx, G. Ahlers, and D. Lohse, Phys. Rev. Lett. 103, 024503 (2009).
  11. S. Weiss, R. J. A. M. Stevens, J.-Q. Zhong, H. J. H. Clercx, D. Lohse, and G. Ahlers, Phys. Rev. Lett. 105, 224501 (2010).
  12. P. Wei, S. Weiss, and G. Ahlers, Phys. Rev. Lett. 114, 114506 (2015).
  13. G. Ahlers, S. Grossmann, and D. Lohse, Rev. Mod. Phys. 81, 503 (2009).
  14. R. J. A. M. Stevens, H. J. H. Clercx, and D. Lohse, Eur. J. Mech. B 40, 41 (2013).
  15. J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed. (Springer, Berlin, 1987).
  16. P. K. Kundu and I. M. Cohen, Fluid Mechanics, 2nd ed. (Academic Press, London, 2002).
  17. K. Julien, E. Knobloch, A. M. Rubio, and G. M. Vasil, Phys. Rev. Lett. 109, 254503 (2012).
  18. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, Oxford, 1961).
  19. J. Schumacher, Phys. Rev. E 79, 056301 (2009).
  20. M. S. Emran and J. Schumacher, Phys. Rev. E 82, 016303 (2010).
  21. R. Ni, S.-D. Huang, and K.-Q. Xia, Phys. Rev. Lett. 107, 174503 (2011).
  22. R. Ni, S.-D. Huang, and K.-Q. Xia, J. Fluid Mech. 692, 395 (2012).
  23. R. P. J. Kunnen, Y. Corre, and H. J. H. Clercx, Europhys. Lett. 104, 54002 (2013).
  24. H. G. Maas, A. Gruen, and D. Papantoniou, Exp. Fluids 15, 133 (1993).
  25. N. A. Malik, T. Dracos, and D. A. Papantoniou, Exp. Fluids 15, 279 (1993).
  26. J. Willneff, Ph.D. thesis, Swiss Federal Institute of Technology, Zürich, Switzerland, 2003.
  27. J. Willneff, Int. Arch. Photogramm. Rem. Sens. Spatial Inform. Sci. 34, 601 (2002).
  28. B. Lüthi, A. Tsinober, and W. Kinzelbach, J. Fluid Mech. 528, 87 (2005).
  29. B. Lüthi, Ph.D. thesis, Swiss Federal Institute of Technology, Zürich, Switzerland, 2002.
  30. R. Verzicco and R. Camussi, J. Fluid Mech. 477, 19 (2003).
  31. L. Del Castello and H. J. H. Clercx, Phys. Rev. Lett. 107, 214502 (2011).
  32. R. P. J. Kunnen, H. J. H. Clercx, and B. J. Geurts, Phys. Rev. E 74, 056306 (2006).
  33. R. P. J. Kunnen, H. J. H. Clercx, and B. J. Geurts, Phys. Rev. Lett. 101, 174501 (2008).
  34. R. P. J. Kunnen, B. J. Geurts, and H. J. H. Clercx, J. Fluid Mech. 642, 445 (2010).
  35. E. M. King, S. Stellmach, J. Noir, U. Hansen, and J. M. Aurnou, Nature (London) 457, 301 (2009).
  36. S. Grossmann and D. Lohse, J. Fluid Mech. 407, 27 (2000).
  37. S. Grossmann and D. Lohse, Phys. Rev. Lett. 86, 3316 (2001).
  38. S. Grossmann and D. Lohse, Phys. Rev. E 66, 016305 (2002).
  39. S. Grossmann and D. Lohse, Phys. Fluids 16, 4462 (2004).
  40. R. J. A. M. Stevens, E. P. van der Poel, S. Grossmann, and D. Lohse, J. Fluid Mech. 730, 295 (2013).
  41. R. P. J. Kunnen, R. J. A. M. Stevens, J. Overkamp, C. Sun, G. J. F. van Heijst, and H. J. H. Clercx, J. Fluid Mech. 688, 422 (2011).
  42. R. P. J. Kunnen, H. J. H. Clercx, and G. J. F. van Heijst, J. Fluid Mech. 727, 509 (2013).
  43. R. P. J. Kunnen, R. Ostilla-Mónico, E. P. van der Poel, R. Verzicco, and D. Lohse, arXiv:1409.6469v2.
  44. S. Stellmach, M. Lischper, K. Julien, G. Vasil, J. S. Cheng, A. Ribeiro, E. M. King, and J. M. Aurnou, Phys. Rev. Lett. 113, 254501 (2014).

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Phys. Rev. E 93, 043129– Published 29 April, 2016
  • Received 17 November 2015

©2016 American Physical Society

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