论文标题

在内部加热对流中扩展:统一理论

Scaling in internally heated convection: a unifying theory

论文作者

Wang, Qi, Lohse, Detlef, Shishkina, Olga

论文摘要

We offer a unifying theory for turbulent purely internally heated convection, generalizing the unifying theories of Grossmann and Lohse (2000, 2001) for Rayleigh--Bénard turbulence and of Shishkina, Grossmann and Lohse (2016) for turbulent horizo​​ntal convection, which are both based on the splitting of the kinetic and thermal dissipation rates in respective boundary and bulk contributions.我们获得了系统的平均温度和雷诺数(这是响应参数)作为控制参数的函数,即内部热驱动强度(当不匹配时称为雷利(Rayleigh-Rayleigh-roberts)数量)和prandtl数字。该理论的结果与我们的直接数值模拟一致。

We offer a unifying theory for turbulent purely internally heated convection, generalizing the unifying theories of Grossmann and Lohse (2000, 2001) for Rayleigh--Bénard turbulence and of Shishkina, Grossmann and Lohse (2016) for turbulent horizontal convection, which are both based on the splitting of the kinetic and thermal dissipation rates in respective boundary and bulk contributions. We obtain the mean temperature of the system and the Reynolds number (which are the response parameters) as function of the control parameters, namely the internal thermal driving strength (called, when nondimensionalized, the Rayleigh--Roberts number) and the Prandtl number. The results of the theory are consistent with our direct numerical simulations.

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