Scale analysis and wall-layer model for the temperature profile in a turbulent thermal convection

Kyoon Chung Myung Kyoon Chung, Chul Yun Hyo Chul Yun, Ronald Adrian

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Three sets of characteristic scales for the conduction layer, the transition layer and the convection layer are proposed to analyze the mean thermal structure in a turbulent thermal convection without mean motion. These scales are formulated based on molecular or turbulent eddy contribution to the momentum and heat transports in each layer. Using the proposed scales and a gradient matching technique at the interface between two adjacent layers, Kraichnan's (Physics Fluids 5, 1374 (1962)) multi-layered structure of the mean temperature gradient profile is re-established. If the conduction scales are used to nondimensionalize mean temperature gradient data near the wall, they form a plausible correlation curve that is nearly independent of the Prandtl number and the Rayleigh number for the range of experiments. From the correlation curve, it is found that the convection layer or the similarity layer with the slope of - 4 3 begins to appear after about z+ ~ 15 and the proportionality constant of the - 4 3 power law of the mean temperature gradient is found to be about 0.6 or dΘ+/dz+ = 0.6z+ - 4 3, where Θ+ and z+ are nondimensional temperature and distance scaled by the respective conduction scales. Further, a wall-layer model for the mean temperature gradient profile is formulated in accordance with the power law, dΘ+/dz+ ~ z +, across the layers, which is in good agreement with the data.

Original languageEnglish (US)
Pages (from-to)43-51
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Volume35
Issue number1
DOIs
StatePublished - 1992
Externally publishedYes

Fingerprint

free convection
temperature profiles
Thermal gradients
temperature gradients
Temperature
Prandtl number
conduction
Momentum
convection
Physics
Fluids
transition layers
Hot Temperature
Convection
curves
Rayleigh number
profiles
Experiments
vortices
slopes

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

Scale analysis and wall-layer model for the temperature profile in a turbulent thermal convection. / Myung Kyoon Chung, Kyoon Chung; Hyo Chul Yun, Chul Yun; Adrian, Ronald.

In: International Journal of Heat and Mass Transfer, Vol. 35, No. 1, 1992, p. 43-51.

Research output: Contribution to journalArticle

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