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Laminar convection cells at high Rayleigh number

Journal of Fluid Mechanics, 1969
The asymptotic behaviour for large Rayleigh number and Prandtl number of O(1) of two-dimensional convection cells in a fluid between horizontal plates heated from below has been discussed by Pillow (1952) and more recently by Robinson (1967). The flow models derived by Pillow and Robinson differ from each other.
openaire   +3 more sources

Critical Rayleigh numbers for cryogenic experiments

Journal of Low Temperature Physics, 1990
We give critical Rayleigh numbers, Rc, and the corresponding critical wavevectors, ac, for the onset of Rayleigh-Benard convection for thermal conditions on the horizontal boundaries that model physical experiments, particularly those carried out at low temperatures with liquid helium.
G. P. Metcalfe, R. P. Behringer
openaire   +1 more source

Experimental study of non-Boussinesq Rayleigh–Bénard convection at high Rayleigh and Prandtl numbers

Physics of Fluids, 1999
A set of experiments is performed, in which a layer of fluid is heated from below and cooled from above, in order to study convection at high Rayleigh numbers (Ra) and Prandtl numbers (Pr). The working fluid, corn syrup, has a viscosity that depends strongly on temperature.
Manga, Michael, Weeraratne, Dayanthie
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Nusselt Number Measurements for Turbulent Rayleigh-Bénard Convection

Physical Review Letters, 2003
We present high-precision measurements of the Nusselt number N as a function of the Rayleigh number R for a cylindrical sample of water (Prandtl number sigma=4.4) of height L approximately equal to 50 cm and aspect ratio Gamma identical with D/L approximately equal to 1 (D is the diameter) for 3 x 10(9)< or =R< or =6 x 10(10).
Alexei, Nikolaenko, Guenter, Ahlers
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Comments on high Rayleigh number convection

2001
We have recently conducted a series of experiments on turbulent convection in the range of Rayleigh numbers between 106 and 1017 (Niemela et al. 1999). The working fluid is cryogenic helium gas. The eleven decades of dynamic range enable us to make a few conclusive observations. Among them, the following aspects are noteworthy.
J. J. Niemela   +3 more
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Rayleigh-Benard Convection at Finite Rayleigh Number in Large Aspect Ratio Boxes

1990
Our goal in these studies is to derive the phase-amplitude-mean drift equations for the Oberbeck-Boussinesq equations at finite Prandtl number. As a step along the way, we have derived the phase-amplitude equation in the infinite Prandtl number limit.
T. Passot, M. Souli, A. C. Newell
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Infinite Prandtl number limit of Rayleigh‐Bénard convection

Communications on Pure and Applied Mathematics, 2003
AbstractWe rigorously justify the infinite Prandtl number model of convection as the limit of the Boussinesq approximation to the Rayleigh‐Bénard convection as the Prandtl number approaches infinity. This is a singular limit problem involving an initial layer. © 2003 Wiley Periodicals, Inc.
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Scaling in magnetohydrodynamic convection at high Rayleigh number

Physical Review E, 2006
The theory of Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)] is extended to include the effect of a magnetic field on convection of an electrically conducting fluid. Different scaling laws are obtained depending on whether the bulk or the boundary layers make the major contribution to the dissipation. Scalings are obtained for both weak and strong
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