论文标题
考虑雷利 - 贝纳德对流的表面温度变化
Accounting for surface temperature variations in Rayleigh-Bénard convection
论文作者
论文摘要
湍流雷利 - 贝纳德对流通常以恒定的表面温度进行建模。但是,许多地球物理系统(例如湖泊)的表面温度与大气强迫耦合。在本文中,我们通过附加参数$β$来解释这种动态的表面温度。使用适当定义的动态雷利号$ \ rad $,我们从标准的Rayleigh-Bénard模型中恢复了许多结果。我们希望这项工作能够简化雷利 - 纳德理论在地球物理环境中的应用,例如湖泊。
Turbulent Rayleigh-Bénard convection is often modelled with a constant surface temperature. However, the surface temperature of many geophysical systems, such as lakes, is coupled to the atmospheric forcing. In this paper, we account for this dynamic surface temperature through an additional parameter $β$. Using an appropriately defined dynamical Rayleigh number $\RaD$, we recover many of the results from the standard Rayleigh-Bénard model. We hope that this work will simplify the application of Rayleigh-Bénard theory in geophysical contexts, such as lakes.