Local energy dissipation rate balances local heat flux in the center of turbulent thermal convection

Rui Ni, Shi Di Huang, Ke Qing Xia

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The local kinetic energy dissipation rate u,c in Rayleigh-Bénard convection cell was measured experimentally using the particle tracking velocimetry method, with varying Rayleigh number Ra, Prandtl number Pr, and cell height H. It is found that u,c/(κ3H -4)=1.05×10-4Ra1.55±0.02Pr1. 15±0.38. The Ra and H dependencies of the measured results are found to be consistent with the assumption made for the bulk energy dissipation rate u,bulk in the Grossmann-Lohse model. A remarkable finding of the study is that u,c balances the directly measured local Nusselt number Nuc in the cell center, not only scalingwise but also in magnitude.

Original languageEnglish (US)
Article number174503
JournalPhysical Review Letters
Volume107
Issue number17
DOIs
StatePublished - Oct 17 2011

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free convection
heat flux
energy dissipation
convection cells
Rayleigh number
Prandtl number
Nusselt number
cells
kinetic energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "The local kinetic energy dissipation rate u,c in Rayleigh-B{\'e}nard convection cell was measured experimentally using the particle tracking velocimetry method, with varying Rayleigh number Ra, Prandtl number Pr, and cell height H. It is found that u,c/(κ3H -4)=1.05×10-4Ra1.55±0.02Pr1. 15±0.38. The Ra and H dependencies of the measured results are found to be consistent with the assumption made for the bulk energy dissipation rate u,bulk in the Grossmann-Lohse model. A remarkable finding of the study is that u,c balances the directly measured local Nusselt number Nuc in the cell center, not only scalingwise but also in magnitude.",
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Local energy dissipation rate balances local heat flux in the center of turbulent thermal convection. / Ni, Rui; Huang, Shi Di; Xia, Ke Qing.

In: Physical Review Letters, Vol. 107, No. 17, 174503, 17.10.2011.

Research output: Contribution to journalArticle

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AU - Ni, Rui

AU - Huang, Shi Di

AU - Xia, Ke Qing

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