Skip to main content

Turbulent Thermal Convection and Emergence of Isolated Large Single Vortices in Soap Bubbles

  • Chapter
  • First Online:
From Hamiltonian Chaos to Complex Systems

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 5))

  • 1369 Accesses

Abstract

Experiments using a novel thermal convection cell consisting of half a soap bubble heated at the equator to study turbulent thermal convection and the movement of isolated vortices are reviewed. The soap bubble, subject to stratification, develops thermal convection at its equator. A particular feature of this cell is the emergence of isolated vortices. These vortices resemble hurricanes or cyclones and similarities between these structures and their natural counterparts are found. This is brought forth through a study of the mean square displacement of these objects showing signs of superdiffusion. In addition to these features, the study of the statistical properties of the turbulence engendered in these soap bubbles shows a clear indication for the existence of the so-called Bolgiano–Obukhov scaling both for the temperature and the velocity fluctuations. A remarkable transition is uncovered: the temperature and the velocity structure functions show intermittency for small temperature gradients; this intermittency then disappears for large gradients.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. L.P. Kadanoff, Phys. Today 54, 34 (2001)

    Article  Google Scholar 

  2. E.D. Siggia, Ann. Rev. Fluid Mech. 26, 137 (1994)

    Article  MathSciNet  Google Scholar 

  3. G. Ahlers, Physics, 2, 74 (2009)

    Article  Google Scholar 

  4. B. Martin, X.L. Wu, Phys. Rev. Lett. 80, 1892 (1998)

    Article  Google Scholar 

  5. J. Zhang, X.L. Wu, K.Q. Xia, Phys. Rev. Lett. 94, 174503 (2005)

    Article  Google Scholar 

  6. J. Zhang, X.L. Wu, Phys. Rev. Lett. 94, 234501 (2005)

    Article  Google Scholar 

  7. F. Seychelles et al., Phys. Rev. Lett. 100, 144501 (2008)

    Article  Google Scholar 

  8. F. Seychelles, F. Ingremeau, H. Kellay, Phys. Rev. Lett. 105, 264502 (2010)

    Article  Google Scholar 

  9. H. Kellay, W.I. Goldburg, Rep. Prog. Phys. 65, 1 (2002).

    Article  Google Scholar 

  10. P. Morel, M. Larcheveque, J. Atmos. Sci. 31, 2189 (1974)

    Article  Google Scholar 

  11. P.S. Marcus, Nature 428, 828 (2004)

    Article  Google Scholar 

  12. A.N. Kolmogorov, Dokl. Akad. Nauk. SSSR 30, 299 (1941)

    Google Scholar 

  13. S. Corrsin, J. Appl. Phys. 22, 469 (1951)

    Article  MathSciNet  MATH  Google Scholar 

  14. A.M. Obukhov, Izv. Akad. Nauk SSSR Ser. Geog. Geofiz 13, 58 (1949)

    Google Scholar 

  15. R. Bolgiano, J. Geophys. Research 64, 2226 (1959)

    Article  Google Scholar 

  16. A.M. Obukhov, Sov. Phys. Dokl. 4, 61 (1959)

    Google Scholar 

  17. D. Lohse, K.-Q. Xia, Annu. Rev. Fluid Mech. 42, 335 (2010)

    Article  Google Scholar 

  18. C. Sun, Q. Zhou, K.-Q. Xia, Phys. Rev. Lett. 97, 144504 (2006)

    Article  Google Scholar 

  19. M.F. Shlesinger, G.M. Zaslavsky, U. Frisch (eds.), Levy Flights and Related Topics in Physics. Lecture Notes in Physics (Springer, Berlin, 1995)

    Google Scholar 

  20. J.P. Bouchaud, A. George, Phys. Rep. 195, 127 (1990)

    Article  MathSciNet  Google Scholar 

  21. X.L. Wu, A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000)

    Article  Google Scholar 

  22. T.H. Solomon, E.R. Weeks, H.L. Swinney, Phys. Rev. Lett. 71, 3975 (1993)

    Article  Google Scholar 

  23. D.A. Schecter, D.H.E. Dubin, Phys. Rev. Lett. 83, 2191 (1999)

    Article  Google Scholar 

  24. A. Celani, A. Mazzino, M. Vergassola, Phys. Fluids 13, 2133 (2001)

    Article  Google Scholar 

  25. A. Celani et al., Phys. Rev. Lett. 88, 054503 (2002)

    Article  Google Scholar 

  26. Z. Warhaft, Annu. Rev. Fluid Mech. 32, 203 (2000)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was carried out with my colleagues (M. Bessafi and Y. Amarouchene) and students (F. Seychelles, F. Ingremeau, T. Meuel, G. Prado) to whom I am very grateful. This work was supported by Grant “Cyclobulle” from the ANR.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamid Kellay .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kellay, H. (2013). Turbulent Thermal Convection and Emergence of Isolated Large Single Vortices in Soap Bubbles. In: Leoncini, X., Leonetti, M. (eds) From Hamiltonian Chaos to Complex Systems. Nonlinear Systems and Complexity, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6962-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6962-9_6

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6961-2

  • Online ISBN: 978-1-4614-6962-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics