论文标题

大规模循环的椭圆不稳定性和多卷流量模式

Elliptical Instability and Multi-Roll Flow Modes of the Large-scale Circulation in Confined Turbulent Rayleigh-Bénard Convection

论文作者

Zwirner, Lukas, Tilgner, Andreas, Shishkina, Olga

论文摘要

细长的圆柱细胞中的湍流雷利 - 贝纳德对流表现出丰富的大规模循环动力学(LSC),彼此之间堆叠了几卷。我们建议椭圆形的不稳定性是导致LSC扭曲和破坏多个卷的机制,并且由Nusselt数字和雷诺数代表的体积平均热量和动量传输通常较大的LSC卷$ N $。这是由$ ra = 5 \ times10^5 $,$ pr = 0.1 $,$ h = 5d $和$ 1 \ leq〜n \ leq4 $的直接数值模拟支持。

Turbulent Rayleigh-Bénard convection in slender cylindrical cells exhibits rich dynamics of the large-scale circulation (LSC), with several rolls stacked on top of each other. We propose that the elliptical instability is the mechanism which causes the twisting and breaking of the LSC into multiple rolls and that the volume-averaged heat and momentum transport, represented by the Nusselt number and Reynolds number, is generally weaker for larger number $n$ of the LSC rolls. This is supported by direct numerical simulations for $Ra=5\times10^5$, $Pr=0.1$, $H=5D$ and $1\leq~n\leq4$.

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