HEAT-TRANSPORT IN HIGH-RAYLEIGH-NUMBER CONVECTION

被引：416
|
作者：
SHRAIMAN, BI [1 ]
SIGGIA, ED [1 ]
机构：
[1] CORNELL UNIV, ATOM & SOLID STATE PHYS LAB, ITHACA, NY 14853 USA
来源：
PHYSICAL REVIEW A | 1990年 / 42卷 / 06期
关键词：
D O I：
10.1103/PhysRevA.42.3650
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The heat flux (Nusselt number) as a function of Rayleigh number, NNu0.3NRa2/7, is deduced from the presence of a mean flow and the nesting of the thermal boundary layer within the viscous one. The numerical coefficients are obtained from those known empirically for turbulent boundary layers. The consistency of our assumptions as a function of Prandtl number limits this regime to (107108)NPr5/3NRa (10131015)NPr4. The Bolgiano-Obukhov k-7/5 spectrum for the temperature fluctuations is inconsistent with a simple scaling treatment of the equations. © 1990 The American Physical Society.
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页码：3650 / 3653
页数：4
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