Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 517
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Akpek, Ali 2016. Effect of non-uniform temperature field in viscosity measurement. Journal of Visualization, Vol. 19, Issue. 2, p. 291.

    du Puits, R. and Willert, C. 2016. The evolution of the boundary layer in turbulent Rayleigh-Bénard convection in air. Physics of Fluids, Vol. 28, Issue. 4, p. 044108.

    Hanasoge, Shravan Gizon, Laurent and Sreenivasan, Katepalli R. 2016. Seismic Sounding of Convection in the Sun. Annual Review of Fluid Mechanics, Vol. 48, Issue. 1, p. 191.

    Ma, Li Li, Jing Ji, Shui and Chang, Huajian 2016. High Prandtl number effect on Rayleigh–Bénard convection heat transfer at high Rayleigh number. Heat and Mass Transfer,

    Nikonenko, V.V. Vasil'eva, V.I. Akberova, E.M. Uzdenova, A.M. Urtenov, M.K. Kovalenko, A.V. Pismenskaya, N.P. Mareev, S.A. and Pourcelly, G. 2016. Competition between diffusion and electroconvection at an ion-selective surface in intensive current regimes. Advances in Colloid and Interface Science,

    Pharasi, Hirdesh K. Kumar, Deepesh Kumar, Krishna and Bhattacharjee, Jayanta K. 2016. Spectra and probability distributions of thermal flux in turbulent Rayleigh-Bénard convection. Physics of Fluids, Vol. 28, Issue. 5, p. 055103.

    Shishkina, Olga Grossmann, Siegfried and Lohse, Detlef 2016. Heat and momentum transport scalings in horizontal convection. Geophysical Research Letters, Vol. 43, Issue. 3, p. 1219.

    Shishkina, Olga and Wagner, Sebastian 2016. Prandtl-Number Dependence of Heat Transport in Laminar Horizontal Convection. Physical Review Letters, Vol. 116, Issue. 2,

    Avinash, K. and Sen, A. 2015. Rayleigh-Taylor instability in dusty plasma experiment. Physics of Plasmas, Vol. 22, Issue. 8, p. 083707.

    Barannyk, Lyudmyla L. Papageorgiou, Demetrios T. Petropoulos, Peter G. and Vanden-Broeck, Jean-Marc 2015. Nonlinear Dynamics and Wall Touch-Up in Unstably Stratified Multilayer Flows in Horizontal Channels under the Action of Electric Fields. SIAM Journal on Applied Mathematics, Vol. 75, Issue. 1, p. 92.

    Bhattacharjee, Jayanta K. 2015. Self-Consistent Field Theory for the Convective Turbulence in a Rayleigh-Benard System in the Infinite Prandtl Number Limit. Journal of Statistical Physics, Vol. 160, Issue. 6, p. 1519.

    Cheng, J. S. Stellmach, S. Ribeiro, A. Grannan, A. King, E. M. and Aurnou, J. M. 2015. Laboratory-numerical models of rapidly rotating convection in planetary cores. Geophysical Journal International, Vol. 201, Issue. 1, p. 1.

    Davaille, A. and Limare, A. 2015. Treatise on Geophysics.

    Jones, C.A. 2015. Treatise on Geophysics.

    Kattimeri, Athina and Scase, Matthew M. 2015. Turbulent ‘stopping plumes’ and plume pinch-off in uniform surroundings. Environmental Fluid Mechanics, Vol. 15, Issue. 5, p. 923.

    Kooij, G.L. Botchev, M.A. and Geurts, B.J. 2015. Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection. International Journal of Heat and Fluid Flow, Vol. 55, p. 26.

    Long, Z.Q. Zhang, P. and Shen, B. 2015. Natural convection heat transfer of supercritical binary fluid in a long closed vertical cylinder. International Journal of Heat and Mass Transfer, Vol. 80, p. 551.

    Ma, Li Li, Jing Ji, Shui and Chang, Huajian 2015. Turbulent convection experiment at high Rayleigh number to support CAP1400 IVR strategy. Nuclear Engineering and Design, Vol. 292, p. 69.

    Majda, Andrew J and Tong, Xin T 2015. Intermittency in turbulent diffusion models with a mean gradient. Nonlinearity, Vol. 28, Issue. 11, p. 4171.

    Park, Sangro and Lee, Changhoon 2015. Analysis of coherent structures in Rayleigh–Bénard convection. Journal of Turbulence, Vol. 16, Issue. 12, p. 1162.

  • Journal of Fluid Mechanics, Volume 204
  • July 1989, pp. 1-30

Scaling of hard thermal turbulence in Rayleigh-Bénard convection

  • Bernard Castaing (a1), Gemunu Gunaratne (a2), François Heslot (a3), Leo Kadanoff (a2), Albert Libchaber (a2), Stefan Thomae (a4), Xiao-Zhong Wu (a2), Stéphane Zaleski (a5) and Gianluigi Zanetti (a2)
  • DOI:
  • Published online: 01 April 2006

An experimental study of Rayleigh-Bénard convection in helium gas at roughly 5 K is performed in a cell with aspect ratio 1. Data are analysed in a ‘hard turbulence’ region (4 × 107 < Ra < 6 × 1012) in which the Prandtl number remains between 0.65 and 1.5. The main observation is a simple scaling behaviour over this entire range of Ra. However the results are not the same as in previous theories. For example, a classical result gives the dimensionless heat flux, Nu, proportional to $Ra^{\frac{1}{3}}$ while experiment gives an index much closer to $\frac{2}{7}$. A new scaling theory is described. This new approach suggests scaling indices very close to the observed ones. The new approach is based upon the assumption that the boundary layer remains in existence even though its Rayleigh number is considerably greater than unity and is, in fact, diverging. A stability analysis of the boundary layer is performed which indicates that the boundary layer may be stabilized by the interaction of buoyancy driven effects and a fluctuating wind.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *