Prandtl-Number Dependence of Heat Transport in Laminar Horizontal Convection.
Prandtl-Number Dependence of Heat Transport in Laminar Horizontal Convection.
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DOI：
10.1103/physrevlett.116.024302
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发表时间：
2016-01
影响因子：
8.6
通讯作者：
O. Shishkina;S. Wagner
中科院分区：
文献类型：
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作者：
O. Shishkina;S. Wagner
我们报告的普朗特数（Pr）和瑞利数（Ra）的雷诺数（Re）和平均对流传热的依赖性，测量的努塞尔数（Nu），在水平对流（HC）系统，其中的热量供应和去除提供专门通过一个较低的水平表面的流体层。对于层流HC，我们发现Re <$Ra^{2/5}Pr^{-4/5}，Nu <$Ra^{1/5}Pr^{1/10}，并转变为Re <$Ra^{1/2}Pr^{-1}，对于大Pr，Nu = Ra^{1/4}Pr^{0}。结果基于Ra从3×10^{8}到5×10^{10}的直接数值模拟。和Pr从0.05到50，并通过应用Grossmann-Lohse方法[J. Fluid Mech.407，27（2000）]从Rayleigh-Bénard对流的情况转移到层流HC的情况来解释。
We report the Prandtl-number (Pr) and Rayleigh-number (Ra) dependencies of the Reynolds number (Re) and mean convective heat transport, measured by the Nusselt number (Nu), in horizontal convection (HC) systems, where the heat supply and removal are provided exclusively through a lower horizontal surface of a fluid layer. For laminar HC, we find that Re∼Ra^{2/5}Pr^{-4/5}, Nu∼Ra^{1/5}Pr^{1/10} with a transition to Re∼Ra^{1/2}Pr^{-1}, Nu∼Ra^{1/4}Pr^{0} for large Pr. The results are based on direct numerical simulations for Ra from 3×10^{8} to 5×10^{10} and Pr from 0.05 to 50 and are explained by applying the Grossmann-Lohse approach [J. Fluid Mech. 407, 27 (2000)] transferred from the case of Rayleigh-Bénard convection to the case of laminar HC.