Summary
We describe an experiment which has been designed to measure both spatial and temporal features of turbulent thermal convection in a fluid layer heated from below. Specifically we have studied the dependence of the heat flowvs. the Rayleigh number, the thermal boundary layer profile, the temperature probability distribution function, the frequency and wave number power spectra. All the results have been compared with recent theories. The relevant scales of the problem, the Bolgiano and dissipative lengths, are also computed as a function of control parameters.
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F. Heslot, B. Castaing andA. Libchaber:Phys. Rev. A,36, 5870 (1987);B. Castaing, G. Gunaratne, F. heslot, L. Kadanoff, A. Libchaber, S. Thomae, X. Z. Wu, S. Zalesky andG. Zanetti:J. Fluid Mech.,204, 1 (1989).
M. Sano, X. Z. Wu andA. Libchaber:Phys. Rev. A,40, 6421 (1989);X. Z. Wu, L. Kadanoff, A. Libchaber andM. Sano:Phys. Rev. Lett.,64, 2140 (1990).
T. H. Solomon andJ. P. Gollub:Phys. Rev. A,43, 6683 (1991).
A. Tilgner, A. Belmonte andA. Libchaber:Phys. Rev. E,4, 2253 (1993).
F. Chillá, S. Ciliberto, C. Innocenti andE. Pampaloni:Europhys. Lett.,22, 23 (1993).
F. Chillá, S. Ciliberto andC. Innocenti:Europhys. Lett.,22, 681 (1993).
B. Shraiman andE. Siggia:Phys. Rev. A,42, 3651 (1990).
E. Siggia:Annu. Rev. Fluid Mech. (1993).
V. Yakhot:Phys. Rev. Lett.,63, 1965 (1989).
E. Ching:Phys. Rev. A,44, 3622 (1991).
A. Pumir, B. Shraiman andE. Siggia:Phys. Rev. Lett.,66, 2984 (1991).
F. Massaioli, R. Benzi andS. Succi:Europhys. Lett.,21, 305 (1993).
J. P. Gollub, J. Clark, M. Gharib, B. Lane andO. N. Mesquita:Phys. Rev. Lett.,67, 3507 (1991).
P. Tong andY. Shen:Phys. Rev. Lett.,69, 2066 (1992).
R. Bolgiano:J. Geophys. Res.,64, 2226 (1959);A. M. Obukhov:Dokl. Akad. Nauk SSSR,125, 1246 (1959).
V. S. L'vov:Phys. Rev. Lett.,67, 687 (1991);Physica D,57, 85 (1992).
I. Procaccia andR. Zeitak:Phys. Rev. A,42, 821 (1990).
V. Yakhot:Phys. Rev. Lett.,69, 769 (1992).
M. Nelkin andM. Tabor:Phys. Fluids A,2, 81 (1990).
G. I. Taylor:Proc. R. Soc. London, Ser. A,164, 476 (1938).
S. Ciliberto, F. Francini andF. Simonelli:Opt. Commun.,54, 381 (1985);M. A. Rubio, P. Bigazzi, L. Albavetti andS. Ciliberto:J. Fluid Mech.,209, 309 (1989).
T. Y. Chu andR. J. Goldstein:J. Fluid Mech.,60, 141 (1973).
L. Sirovich, S. Balachander andM. R. Maxey:Phys. Fluids A,1, 1911 (1989).
A. Bartoloni et al.: J. Mod. Phys. C. (September 1993).
L. N. Howard andR. Krishnamurty:J. Fluid. Mech.,170, 385 (1986).
E. De Luca, J. Werne, R. Rosner andF. Cattaneo:Phys. Rev. Lett.,64, 2370 (1990).
A. S. Monin andA. M. Yaglom:Statistical Fluid Mechanics (MIT Press, Cambridge, Mass., 1975).
R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli andS. Succi:Phys. Rev. E,48, 29 (1993).
R. Benzi, S. Ciliberto, G. Ruiz Chavarria, C. Baudet andR. Tripiccione: submitted toEurophys. Lett.
R. Benzi, L. Tripiccione, S. Succi, F. Massaioli andS. Ciliberto: submitted toEurophys. Lett.
S. Cioni: Thesis, University of Florence.
S. Globe andD. Dropkin:J. Heat Transfer,81, 24 (1959).
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Chillá, F., Ciliberto, S., Innocenti, C. et al. Boundary layer and scaling properties in turbulent thermal convection. Il Nuovo Cimento D 15, 1229–1249 (1993). https://doi.org/10.1007/BF02451729
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DOI: https://doi.org/10.1007/BF02451729