Does Turbulent Convection Feel the Shape of the Container?

Daya, Zahir A.; Ecke, Robert E.

doi:10.1103/physrevlett.87.184501

Cited by 77 publications

(85 citation statements)

References 22 publications

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“…This power law is compatible with Kraichnans asymptotic law including logarithmic corrections as in eq. (37) and the GrossmannLohse prediction (51). Interestingly, the measurements in Chicago showed a similar multi-stability at about the same Rayleigh number.…”

Section: Experiments and Simulations For Ra 10 12mentioning

confidence: 65%

“…The highest Rayleigh numbers reached for convection in water are those of the group in Hong Kong [46] which reached Ra = 5 × 10 12 at P r = 4 and those of the group in Lyon [47,48] in which Ra = 4 × 10 12 at P r = 2 was obtained. The majority of the laboratory experiments are conducted in cylindrical cells; some studies have been performed in rectangular convection cells [49][50][51][52][53][54].…”

Section: Working Fluids and Accessible Parameter Rangesmentioning

confidence: 99%

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New perspectives in turbulent Rayleigh-Bénard convection

2012

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Abstract. Recent experimental, numerical and theoretical advances in turbulent Rayleigh-Bénard convection are presented. Particular emphasis is given to the physics and structure of the thermal and velocity boundary layers which play a key role for the better understanding of the turbulent transport of heat and momentum in convection at high and very high Rayleigh numbers. We also discuss important extensions of Rayleigh-Bénard convection such as non-Oberbeck-Boussinesq effects and convection with phase changes.

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Section: Experiments and Simulations For Ra 10 12mentioning

confidence: 65%

Section: Working Fluids and Accessible Parameter Rangesmentioning

confidence: 99%

New perspectives in turbulent Rayleigh-Bénard convection

2012

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“…In particular, fluctuations in the cell interior reveal details about how thermal disturbances in the boundary layer are advected into the bulk. Although the scaling of such fluctuations with Ra can be affected by the geometry over certain ranges of Ra [18,19] at higher Ra. We consider, therefore, the evolution of the PDFs in the bulk of the convection cell as a function of rotation rate as measured by Ta or, equivalently, Ro number.…”

Section: A Bulk Temperature: Fluctuations and Mean Gradientmentioning

confidence: 99%

“…The choice of a square geometry, unusual for studies of rotating convection, was made to better accommodate flow visualization, a feature not used in these experiments. Because container shape can be important in understanding fluctuations for non-rotating convection [18,19], we note below where geometry may play a role in the interpretation of the results. There have been a number of reports of temperature field measurements in convection without rotation (see, for example, [20][21][22][23][24]), but only a few such experiments [13,14,25,26] and numerical simulations [4,7,27,28] for rotating convection.…”

Section: Introductionmentioning

confidence: 99%

Local temperature measurements in turbulent rotating Rayleigh-Bénard convection

Liu

Ecke

2011

Phys. Rev. E

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We present local temperature measurements of turbulent Rayleigh-Bénard convection with rotation about a vertical axis. The fluid, water with Prandtl number about 6, was confined in a cell with a square cross section of 7.3 × 7.3 cm 2 and a height of 9.4 cm. Temperature fluctuations and boundary-layer profiles were measured for Rayleigh numbers 1 × 10 7 < Ra < 5 × 10 8 and Taylor numbers 0 < Ta < 5 × 10 9 . We present statistics of the temperature field measured by a single thermistor located along the vertical centerline of the cell or by an array of thermistors distributed laterally from that centerline. The statistics include the mean temperature, standard deviation, skewness, and the probability distribution functions at various locations in the cell, especially near and inside the thermal boundary layer. The effects of rotation on these quantities are discussed including the presence of a rotation-dependent mean vertical temperature gradient, the negative skewness of temperature fluctuations in the boundary layer, and the horizontal homogenization of temperature.

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“…For real RB turbulence it is the boundary layer dynamics which introduces further temperature scales, leading to the Ra and Pr number dependence of the temperature fluctuations observed in experiments. 5,16,47,48 …”

Section: B Temperature Fluctuationsmentioning

confidence: 99%

Rayleigh and Prandtl number scaling in the bulk of Rayleigh–Bénard turbulence

et al. 2005

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The Ra and Pr number scaling of the Nusselt number Nu, the Reynolds number Re, the temperature fluctuations, and the kinetic and thermal dissipation rates is studied for ͑numerical͒ homogeneous Rayleigh-Bénard turbulence, i.e., Rayleigh-Bénard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature field by a mean gradient. This system serves as model system for the bulk of Rayleigh-Bénard flow and therefore as model for the so-called "ultimate regime of thermal convection." With respect to the Ra dependence of Nu and Re we confirm our earlier results ͓D. Lohse and F. , both near ͑but not fully consistent͒ the bulk dominated behavior, whereas the temperature fluctuations do not depend on Ra and Pr. Finally, the dynamics of the heat transport is studied and put into the context of a recent theoretical finding by Doering et al. ͓"Comment on ultimate state of thermal convection" ͑private communication͔͒.

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Does Turbulent Convection Feel the Shape of the Container?

Cited by 77 publications

References 22 publications

New perspectives in turbulent Rayleigh-Bénard convection

New perspectives in turbulent Rayleigh-Bénard convection

Local temperature measurements in turbulent rotating Rayleigh-Bénard convection

Rayleigh and Prandtl number scaling in the bulk of Rayleigh–Bénard turbulence

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