Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection

被引:261
作者
Grossmann, S
Lohse, D
机构
[1] Univ Marburg, Dept Phys, D-35032 Marburg, Germany
[2] Univ Twente, Dept Appl Phys, NL-7500 AE Enschede, Netherlands
来源
PHYSICAL REVIEW E | 2002年 / 66卷 / 01期
关键词
D O I
10.1103/PhysRevE.66.016305
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The Prandtl and Rayleigh number dependences of the Reynolds number in turbulent thermal convection following from the unifying theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000); Phys. Rev. Lett. 86, 3316 (2001)] are presented and compared with various recent experimental findings. This dependence Re(Ra,Pr) is more complicated than a simple global power law. For Pr=5.5 and 10(8)<Ra<10(10) the effective or local power law exponent of Re as a function of Ra is definitely less than 0.50, namely, Resimilar toRa(0.45), in agreement with Qiu and Tong's experimental findings [Phys. Rev. E 64, 036304 (2001)]. We also calculated the kinetic boundary layer width. Both in magnitude and in Ra scaling it is consistent with the data.
引用
收藏
页码:1 / 016305
页数:6
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