Multi-scale steady solution for Rayleigh?B?nard convection
Multi-scale steady solution for Rayleigh?B?nard convection
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瑞利·伯纳德对流的多尺度稳态解
DOI：
10.1017/jfm.2020.978
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发表时间：
2021
影响因子：
3.7
通讯作者：
Shimizu Masaki
中科院分区：
文献类型：
--
作者：
Motoki Shingo;Kawahara Genta;Shimizu Masaki
我们发现了恒定温差水平板之间三维周期域中瑞利-贝纳德对流的 Boussinesq 方程的多尺度稳态解。这是使用 Motoki 等人提供的墙到墙最佳传输解决方案的同伦实现的。 （《流体力学》杂志，第 851 卷，2018 年，R4）。连接稳定解是在具有一致前因子的瑞利数标度定律下从热传导状态分叉的结果，并且波数空间中具有几乎恒定通量的能量转移到小尺度与湍流能量转移一致。
We found a multi-scale steady solution of the Boussinesq equations for Rayleigh–Bénard convection in a three-dimensional periodic domain between horizontal plates with a constant temperature difference. This was realised using a homotopy from the wall-to-wall optimal transport solution provided by Motoki et al. (J. Fluid Mech., vol. 851, 2018, R4). A connected steady solution, which is a consequence of bifurcation from a thermal conduction state at Rayleigh number scaling law with a consistent prefactor, and the energy transfer to small scales with a nearly constant flux in the wavenumber space is in accordance with the turbulent energy transfer.