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zbMATH Open
Article . 1999
Data sources: zbMATH Open
Physics of Fluids
Article . 1999 . Peer-reviewed
Data sources: Crossref
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Experimental study of non-Boussinesq Rayleigh–Bénard convection at high Rayleigh and Prandtl numbers

Experimental study of non-Boussinesq Rayleigh-Bénard convection at high Rayleigh and Prandtl numbers
Authors: Manga, Michael; Weeraratne, Dayanthie;

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

Abstract

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. Viscosity within the fluid layer varies by a factor of 6 to 1.8×103 in the various experiments. A total of 28 experiments are performed for 104<Ra<108 and Pr sufficiently large, 103<Pr<106, that the Reynolds number (Re) is less than 1; here, values of Ra and Pr are based on material properties at the average of the temperatures at the top and bottom of the fluid layer. As Ra increases above O(105), flow changes from steady to time-dependent. As Ra increases further, large scale flow is gradually replaced by isolated rising and sinking plumes. At Ra>O(107), there is no evidence for any large scale circulation, and flow consists only of plumes. Plumes have mushroom-shaped “heads” and continuous “tails” attached to their respective thermal boundary layers. The characteristic frequency for the formation of these plumes is consistent with a Ra2/3 scaling. In the experiments at the largest Ra, the Nusselt number (Nu) is lower than expected, based on an extrapolation of the Nu–Ra relationship determined at lower Ra; at the highest Ra, Re→1, and the lower-than-expected Nu is attributed to inertial effects that reduce plume head speeds.

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Keywords

Fluid mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Top 10%
Top 10%
Top 10%
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