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Cited by 1,021

The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.

Scaling of hard thermal turbulence in Rayleigh-Bénard convection

Castaing, Bernard, Gunaratne, Gemunu, Heslot, François, Kadanoff, Leo, Libchaber, Albert, Thomae, Stefan, Wu, Xiao-Zhong, Zaleski, Stéphane, Zanetti, Gianluigi·1989·Journal of Fluid Mechanics
DOI 10.1017/s0022112089001643
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Abstract

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 × 10 7 < Ra < 6 × 10 12) 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.

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Metadata

Authors
Castaing, B., Gunaratne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X.-Z., Zaleski, S., & Zanetti, G.
Venue
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Published
1989-07
Volume
204
Pages
1-30
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
DOI
10.1017/s0022112089001643
OpenAlex
W2133904834
Cited by
1,021
References
32
FWCI
44.54
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Scaling of hard thermal turbulence in Rayleigh-Bénard convection. https://app.cochat.ai/papers/10.1017/s0022112089001643
The paper
Castaing, B., Gunaratne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X.-Z., Zaleski, S., & Zanetti, G. (1989). Scaling of hard thermal turbulence in Rayleigh-Bénard convection. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112089001643

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