Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Bénard convection

Jin-Qiang Zhong; Richard J.A.M. Stevens; H.J.H. Clercx; Roberto  Verzicco; Detlef  Lohse; Günter Ahlers

doi:10.1103/PhysRevLett.102.044502

Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Bénard convection

Jin-Qiang Zhong, Richard J.A.M. Stevens, H.J.H. Clercx, Roberto Verzicco, Detlef Lohse, Günter Ahlers

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Abstract

Experimental and numerical data for the heat transfer as a function of the Rayleigh, Prandtl, and Rossby numbers in turbulent rotating Rayleigh-Bénard convection are presented. For relatively small Ra $\approx 10^8$ and large Pr modest rotation can enhance the heat transfer by up to 30%. At larger Ra there is less heat-transfer enhancement, and at small Pr≲0.7 there is no heat-transfer enhancement at all. We suggest that the small-Pr behavior is due to the breakdown of the heat-transfer-enhancing Ekman pumping because of larger thermal diffusion.

Original language	English
Pages (from-to)	044502
Number of pages	4
Journal	Physical review letters
Volume	102
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.102.044502
Publication status	Published - Jan 2009

Keywords

EWI-17333
IR-69755
METIS-255174

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title = "Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-B{\'e}nard convection",

abstract = "Experimental and numerical data for the heat transfer as a function of the Rayleigh, Prandtl, and Rossby numbers in turbulent rotating Rayleigh-B{\'e}nard convection are presented. For relatively small Ra $\approx 10^8$ and large Pr modest rotation can enhance the heat transfer by up to 30%. At larger Ra there is less heat-transfer enhancement, and at small Pr≲0.7 there is no heat-transfer enhancement at all. We suggest that the small-Pr behavior is due to the breakdown of the heat-transfer-enhancing Ekman pumping because of larger thermal diffusion.",

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AU - Zhong, Jin-Qiang

AU - Stevens, Richard J.A.M.

AU - Clercx, H.J.H.

AU - Verzicco, Roberto

AU - Lohse, Detlef

AU - Ahlers, Günter

PY - 2009/1

Y1 - 2009/1

N2 - Experimental and numerical data for the heat transfer as a function of the Rayleigh, Prandtl, and Rossby numbers in turbulent rotating Rayleigh-Bénard convection are presented. For relatively small Ra $\approx 10^8$ and large Pr modest rotation can enhance the heat transfer by up to 30%. At larger Ra there is less heat-transfer enhancement, and at small Pr≲0.7 there is no heat-transfer enhancement at all. We suggest that the small-Pr behavior is due to the breakdown of the heat-transfer-enhancing Ekman pumping because of larger thermal diffusion.

AB - Experimental and numerical data for the heat transfer as a function of the Rayleigh, Prandtl, and Rossby numbers in turbulent rotating Rayleigh-Bénard convection are presented. For relatively small Ra $\approx 10^8$ and large Pr modest rotation can enhance the heat transfer by up to 30%. At larger Ra there is less heat-transfer enhancement, and at small Pr≲0.7 there is no heat-transfer enhancement at all. We suggest that the small-Pr behavior is due to the breakdown of the heat-transfer-enhancing Ekman pumping because of larger thermal diffusion.

KW - EWI-17333

KW - IR-69755

KW - METIS-255174

U2 - 10.1103/PhysRevLett.102.044502

DO - 10.1103/PhysRevLett.102.044502

M3 - Article

SN - 0031-9007

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JO - Physical review letters

JF - Physical review letters

IS - 4

ER -

Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Bénard convection

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Keywords

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