Asymptotic analysis of heat transfer in turbulent Rayleigh-Benard convection

被引:20
作者
Hölling, M [1 ]
Herwig, H [1 ]
机构
[1] Hamburg Univ Technol, D-21073 Hamburg, Germany
关键词
D O I
10.1016/j.ijheatmasstransfer.2005.09.002
中图分类号
O414.1 [热力学];
学科分类号
摘要
Based on asymptotic considerations a heat transfer law for turbulent Rayleigh-Benard convection is found that differs from existing correlations which often are of a power law type with respect to their Rayleigh number dependence. From the asymptotic temperature profile, derived by matching temperature gradients in the overlap region of the wall layer and the core layer, a Nusselt number follows which includes a logarithmic term. This correlation is in good agreement with data from highly accurate Rayleigh-Benard experiments for Rayleigh numbers between 10(5) and 10(15) and Prandtl numbers larger than 0.5. It is an alternative to existing power laws or more complicated correlations for Nu = Nu(Ra,Pr). (c) 2005 Elsevier Ltd. All rights reserved.
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页码:1129 / 1136
页数:8
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