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Buoyant Plumes and Internal Waves: Two Experiments in Turbulent Convection

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Abstract

A review of two experiments on free convection in room temperature gas under pressure is presented, for Rayleigh numbers ranging from 4×105 to 1×1011, at a constant Prandtl number of 0.7. Emphasis is given to the experimental properties of the heavy gas SF6 used to obtain these high Rayleigh numbers. A conventional Rayleigh-Bénard convection cell of aspect ratio 1 was used to study the interplay of the buoyant plumes and large scale circulation characteristic of hard turbulence. The same cell turned 90 degrees was used for a study of side-heated convection, in this case the turbulence is restricted to a narrow region near the hot and cold boundaries, and the bulk is stably stratified. Internal waves with a mean frequency corresponding to the Brunt-Vaisala frequency are observed in the bulk. These two experiments highlight the outstanding questions in turbulent convection, and predict new regimes which should be observed at higher Rayleigh number.

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References

  1. M. Cross and P. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).

    Article  ADS  Google Scholar 

  2. F. Heslot, B. Castaing, and A. Libchaber, Phys. Rev. A 36, 5870 (1987).

    Article  ADS  Google Scholar 

  3. B. Castaing, G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X. Z. Wu, S. Zaleski, and G. Zanetti, J. Fluid Mech. 204, 1 (1989).

    Article  ADS  Google Scholar 

  4. M. Sano, X. Z. Wu, and A. Libchaber, Phys. Rev. A 40, 6421 (1989).

    Article  ADS  Google Scholar 

  5. X. Z. Wu and A. Libchaber, Phys. Rev. A 45, 842 (1992).

    Article  ADS  Google Scholar 

  6. W. Malkus, Proc. R. Soc. London A 225, 185 (1954).

    Article  MathSciNet  ADS  Google Scholar 

  7. W. Malkus, Proc. R. Soc. London A 225, 196 (1954).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. L. Howard, J. Fluid Mech. 17, 405 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. B. Shraiman and E. Siggia, Phys. Rev. A 42, 3650 (1990).

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  11. A. Belmonte, A. Tilgner, and A. Libchaber, Phys. Rev. E 50, 269 (1994).

    Article  ADS  Google Scholar 

  12. D. Threlfall, J. Fluid Mech. 67, 17 (1975).

    Article  ADS  Google Scholar 

  13. A. Belmonte, Ph.D. Thesis, Princeton University, 1994 (unpublished).

    Google Scholar 

  14. Matheson Unabridged Gas Data Handbook, Matheson Gas Products, East Rutherford, NJ (1974).

    Google Scholar 

  15. L. Adler and C. Yaws, Solid State Tech. 18(1), 35 (1975).

    Article  Google Scholar 

  16. A. Oda, M. Uematsu, and K. Watanabe, Bulletin of the JSME 26(219), 1590(1983).

    Google Scholar 

  17. J. Hoogland, H. Van Den Berg, and N. Trappeniers, Physica A 134, 169 (1985).

    Article  ADS  Google Scholar 

  18. J. Kestin and N. Imaishi, Int. J. Thermophys. 6, 107 (1985).

    Article  ADS  Google Scholar 

  19. Allied-Signal Inc., SF6 Thermodynamic Tables, Morristown, NJ (1991).

    Google Scholar 

  20. X. Z. Wu, Ph.D. thesis, University of Chicago, 1991 (unpublished).

    Google Scholar 

  21. A. Belmonte, A. Tilgner, and A. Libchaber, Phys. Rev. E 51, 5681 (1995).

    Article  ADS  Google Scholar 

  22. A. Tilgner, A. Belmonte, and A. Libchaber, Phys. Rev. E 47, 2253 (1993).

    Article  ADS  Google Scholar 

  23. T. Takeshita, T. Segawa, J. Glazier, and M. Sano, Phys. Rev. Lett. 76, 1465 (1996).

    Article  ADS  Google Scholar 

  24. R. Kraichnan, Phys. Fluids 5, 1374 (1962).

    Article  ADS  Google Scholar 

  25. E. S. C. Ching, preprint (1996).

    Google Scholar 

  26. A. Belmonte and A. Libchaber, Phys. Rev E 53, 4893 (1996).

    Article  ADS  Google Scholar 

  27. K. Sreenivasan, Proc. R. Soc. Lond. A 434, 165 (1991).

    Article  ADS  MATH  Google Scholar 

  28. I. Procaccia, E. S. C. Ching, P. Constantin, L. Kadanoff, A. Libchaber, and X. Z. Wu, Phys. Rev. A 44, 8091 (1991).

    Article  ADS  Google Scholar 

  29. J. Elder, J. Fluid. Mech. 23, 77 (1965).

    Article  ADS  Google Scholar 

  30. J. Elder, J. Fluid. Mech. 23, 99 (1965).

    Article  ADS  Google Scholar 

  31. P. Bouruet-Aubertot, J. Sommeria, and C. Staquet, J. Fluid Mech. 285, 265 (1995).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. D. Benielli and J. Sommeria, Dyn. Atmos. Oceans 23, 335 (1996).

    Article  ADS  Google Scholar 

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Belmonte, A. (1998). Buoyant Plumes and Internal Waves: Two Experiments in Turbulent Convection. In: Donnelly, R.J., Sreenivasan, K.R. (eds) Flow at Ultra-High Reynolds and Rayleigh Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2230-9_15

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  • DOI: https://doi.org/10.1007/978-1-4612-2230-9_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7464-3

  • Online ISBN: 978-1-4612-2230-9

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