Thermal-solutal capillary-buoyancy flow of a low Prandtl number binary mixture with various capillary ratios in an annular pool
Thermal-solutal capillary-buoyancy flow of a low Prandtl number binary mixture with various capillary ratios in an annular pool
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环形池中具有不同毛细管比的低普朗特数二元混合物的热溶质毛细管浮力流动
DOI：
10.1016/j.ijheatmasstransfer.2017.05.066
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发表时间：
2017-10
期刊：
影响因子：
--
通讯作者：
Wu Chun-Mei
中科院分区：
文献类型：
--
作者：
Yu Jia-Jia;Li You-Rong;Chen Jie-Chao;Zhang Yu;Wu Chun-Mei
为了了解毛细比对同时存在径向温度梯度和溶质浓度梯度的环形池中热-溶质毛细-浮力耦合流动的影响，采用有限体积法进行了一系列三维数值模拟.环形池中填充有初始硅质量分数为1.99%的硅锗熔体。硅锗熔体的普朗特数和刘易斯数分别为6.37 × 10− 3和2197.8。结果表明，当热毛细雷诺数较小时，热溶质毛细浮力耦合流动是稳定的轴对称流动。随着毛细比的减小，稳定流型经历了三个阶段：单一逆时针涡、顺时针涡和逆时针涡的组合以及单一顺时针涡。除了毛细比R σ= −1的特殊情况外，三维流动起始的临界热毛细雷诺数随毛细比的减小而减小。在环形池中观察到花瓣状、轮辐状、玫瑰花蕾状、水溶液波状、耳状、靶状和铜钱状7种三维流型。实际流型强烈依赖于毛细管比、热毛细管雷诺数和纵横比。
In order to understand the influence of the capillary ratio on the coupled thermal-solutal capillary-buoyancy flow in an annular pool subjected to simultaneous radial temperature and solute concentration gradients, a series of three-dimensional numerical simulations are carried out by using the finite volume method. The annular pool was filled with the silicon-germanium melt with an initial silicon mass fraction of 1.99%. The Prandtl number and the Lewis number of the silicon-germanium melt are 6.37 × 10−3and 2197.8, respectively. Results indicate that the coupled thermal-solutal capillary-buoyancy flow is steady and axisymmetric when the thermal capillary Reynolds number is relatively small. With the decrease of the capillary ratio, the stable flow pattern experiences three stages, including the single counter-clockwise vortex, the combination of clockwise and counter-clockwise vortexes, and the single clockwise vortex. Besides the special case of the capillary ratioRσ= −1, the critical thermal capillary Reynolds number for the incipience of the three-dimensional flow decreases with the decrease of the capillary ratio. Seven kinds of three-dimensional flow patterns are observed in the annular pool, which are the petal-like pattern, spoke pattern, rosebud-like pattern, hydrosolutal waves, ear-like pattern, target-like pattern and copper coin-like pattern. Actual flow pattern is strongly dependent on the capillary ratio, thermal capillary Reynolds number and the aspect ratio.
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DOI：
10.1016/s0167-2789(02)00680-2
发表时间：
2002-08
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
N. Garnier;A. Chiffaudel;F. Daviaud;A. Prigent
通讯作者：
N. Garnier;A. Chiffaudel;F. Daviaud;A. Prigent
DOI：
10.1016/s0017-9310(02)00159-x
发表时间：
2002-11
影响因子：
5.2
作者：
J. Walker;P. Dold;A. Cröll;M. Volz;F. Szofran
通讯作者：
J. Walker;P. Dold;A. Cröll;M. Volz;F. Szofran
DOI：
10.1016/s0167-2789(02)00681-4
发表时间：
2002-08
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
N. Garnier;A. Chiffaudel;F. Daviaud
通讯作者：
N. Garnier;A. Chiffaudel;F. Daviaud
影响因子：
4.6
作者：
Zhiwu Chen;Y. Li;J. Zhan
通讯作者：
Zhiwu Chen;Y. Li;J. Zhan
影响因子：
1.8
作者：
Jie-Chao Chen;Li Zhang;You-Rong Li;Jiajia Yu
通讯作者：
Jie-Chao Chen;Li Zhang;You-Rong Li;Jiajia Yu