Fully developed anelastic convection with no-slip boundaries
Fully developed anelastic convection with no-slip boundaries
复制标题
具有无滑移边界的完全发展的滞弹性对流
DOI：
10.1017/jfm.2021.905
复制
发表时间：
2021
影响因子：
3.7
通讯作者：
Jones C
中科院分区：
文献类型：
--
作者：
Jones C
研究了无滑移边界的平行平板层中高Rayleigh数的滞弹性对流。推导出能量和熵平衡方程，并使用它们来建立热传输和雷诺数的标度律。熵结构的外观组成的混合均匀的内部，有界的薄层与熵跳跃，使人们有可能获得明确的形式，这些标度律。这些都是根据瑞利数，普朗特数和底部到顶部的温度比，这也衡量了多少密度在整个层的变化。顶部和底部的边界层进行检查，他们被发现是非常不同的，不像在Boussinesq的情况下。阐明这些边界层的结构在确定标度律中起着至关重要的作用。管理这些边界层的物理参数，集中在边界层是如此之薄，温度和密度变化不大的情况下，即使有可能是整个层的温度和密度的变化。不同的标度律被发现，这取决于是否粘性耗散主要是在边界层或散装。高和低普朗特数的情况下被认为是。数值模拟的无滑移滞弹性对流的瑞利数已进行，我们的理论预测与数值结果进行了比较。
Anelastic convection at high Rayleigh number in a plane parallel layer with no slip boundaries is considered. Energy and entropy balance equations are derived, and they are used to develop scaling laws for the heat transport and the Reynolds number. The appearance of an entropy structure consisting of a well-mixed uniform interior, bounded by thin layers with entropy jumps across them, makes it possible to derive explicit forms for these scaling laws. These are given in terms of the Rayleigh number, the Prandtl number and the bottom to top temperature ratio, which also measures how much the density varies across the layer. The top and bottom boundary layers are examined and they are found to be very different, unlike in the Boussinesq case. Elucidating the structure of these boundary layers plays a crucial part in determining the scaling laws. Physical arguments governing these boundary layers are presented, concentrating on the case in which the boundary layers are so thin that temperature and density vary little across them, even though there may be substantial temperature and density variations across the whole layer. Different scaling laws are found, depending on whether the viscous dissipation is primarily in the boundary layers or in the bulk. The cases of both high and low Prandtl number are considered. Numerical simulations of no-slip anelastic convection up to a Rayleigh number of have been performed and our theoretical predictions are compared with the numerical results.
登录
查看更多内容
影响因子：
2.7
作者：
Chong, Kai Leong;Wagner, Sebastian;Xia, Ke-Qing
通讯作者：
Xia, Ke-Qing
气态球壳中的弱非布辛涅斯克对流。
DOI：
10.1103/physreve.96.033104
发表时间：
2017
期刊：
Physical review. E
影响因子：
--
作者：
Lydia Korre;N. Brummell;P. Garaud
通讯作者：
P. Garaud
DOI：
10.1088/0004-637x/805/1/62
发表时间：
2015-01
期刊：
The Astrophysical Journal
影响因子：
--
作者：
J. Verhoeven;T. Wiesehöfer;S. Stellmach
通讯作者：
J. Verhoeven;T. Wiesehöfer;S. Stellmach
具有无限普朗特数的可压缩对流的数值解：滞弹性和滞弹性液体模型与精确方程的比较
影响因子：
3.7
作者：
J. Curbelo;L. Duarte;T. Alboussière;F. Dubuffet;S. Labrosse;Y. Ricard
通讯作者：
Y. Ricard
DOI：
10.3847/1538-4357/ab07bf
发表时间：
2018
期刊：
The Astrophysical Journal
影响因子：
--
作者：
Mouloud Kessar;D. Hughes;Evy Kersalé;K. Mizerski;S. Tobias
通讯作者：
S. Tobias