Three-Dimensional Numerical Simulation of Pure Solutocapillary Flow in a Shallow Annular Pool for Mixture Fluid with High Schmidt Number
Three-Dimensional Numerical Simulation of Pure Solutocapillary Flow in a Shallow Annular Pool for Mixture Fluid with High Schmidt Number
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DOI：
10.1007/s12217-015-9476-3
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发表时间：
2016-04
影响因子：
1.8
通讯作者：
Jie-Chao Chen;Li Zhang;You-Rong Li;Jiajia Yu
中科院分区：
文献类型：
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作者：
Jie-Chao Chen;Li Zhang;You-Rong Li;Jiajia Yu
为了了解恒定径向溶质梯度作用下浅环形池中纯溶质毛细管流动的特性，进行了一系列三维数值模拟。环形池中填充了施密特数为142.8的甲苯/正己烷混合流体。内柱和外柱分别维持在低和高溶质浓度下。环形池的纵横比固定为ε= 0.15或0.05。结果表明，在小的溶质毛细管雷诺数下，溶质毛细管流动是稳定的、轴对称的。表面流体从内筒向外筒径向流动，在底部附近存在回流。随着溶质毛细管雷诺数的增大，在ε= 0.15时，首先出现轴对称振荡流动，然后变为三维振荡流动。当ε= 0.05时，可以观察到从稳定的轴对称流动到三维振荡流动的直接转变。三种类型的流动不稳定是驻波、溶质波和源/汇型波动不稳定。进一步分析了流动失稳的物理机理。
In order to understand the characteristics of pure solutocapillary flow in a shallow annular pool subjected to a constant radial solutal gradient, a series of three-dimensional numerical simulations were performed. The annular pool was filled with the toluene/n-hexane mixture fluid with the Schmidt number of 142.8. The inner and outer cylinders were respectively maintained at low and high solutal concentrations. Aspect ratio of the annular pool is fixed atε= 0.15 or 0.05. Results indicate that the solutocapillary flow is steady and axisymmetric at a small solutal capillary Reynolds number. The surface fluid flows radially from the inner cylinder toward the outer cylinder and a return flow exists near the bottom. With the increase of the solutal capillary Reynolds number, an axisymmetric oscillatory flow firstly appears and then becomes a three-dimensional oscillatory flow atε= 0.15. Whereas atε= 0.05 a direct transition from the steady and axisymmetric flow to the three-dimensional oscillatory flow is observed. Three types of the flow instabilities are the standing wave, hydrosolutal wave and source/sink type wave instabilities. Furthermore, the physical mechanism of the flow destabilization is analyzed.