论文标题
地球旋转对流的热传输缩放和过渡,纵横比
Heat transport scaling and transition in geostrophic rotating convection with varying aspect ratio
论文作者
论文摘要
我们介绍了Nusselt数量$ NU $的高精度实验和数值研究,作为Rayleigh Number $ ra $ ra $ ra $ ra $ ra $ in Geostrophic旋转对流的功能,域纵横比$γ$从0.4到3.8,Ekman编号EK数量从$ 2.0 {\ times} 10^{\ times} 10^{\ 7} $ 2.7} $ 2.7} $ 2.7} {\ $ 2.7} {热传输数据$ NU(RA)$揭示了从浮力主导的向对流的逐渐过渡,以$ ek $ $ EK $,而随着$ ek $的减少,过渡变得急剧下降。我们确定$ nu {\ sim} ra^γ$的幂律缩放,并表明边界流在广泛的地质型中会引起$ nu $的明显增强,从而减少了小$γ$单元中缩放指数$γ$的缩小。目前的工作提供了对地质对流中热传输量表的新见解,并可以解释以前研究中观察到的差异。
We present high-precision experimental and numerical studies of the Nusselt number $Nu$ as functions of the Rayleigh number $Ra$ in geostrophic rotating convection with domain aspect ratio $Γ$ varying from 0.4 to 3.8 and the Ekman number Ek from $2.0{\times}10^{-7}$ to $2.7{\times}10^{-5}$. The heat-transport data $Nu(Ra)$ reveal a gradual transition from buoyancy-dominated to geostrophic convection at large $Ek$, whereas the transition becomes sharp with decreasing $Ek$. We determine the power-law scaling of $Nu{\sim}Ra^γ$, and show that the boundary flows give rise to pronounced enhancement of $Nu$ in a broad range of the geostrophic regime, leading to reduction of the scaling exponent $γ$ in small $Γ$ cells. The present work provides new insight into the heat-transport scaling in geostrophic convection and may explain the discrepancies observed in previous studies.