Linear stability of thermocapillary flow in partially confined half-zones
Linear stability of thermocapillary flow in partially confined half-zones
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DOI：
10.1063/1.2714021
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发表时间：
2007-04
影响因子：
4.6
通讯作者：
Suguru Shiratori;H. Kuhlmann;T. Hibiya
中科院分区：
文献类型：
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作者：
Suguru Shiratori;H. Kuhlmann;T. Hibiya
对低普朗特数流体圆柱形半区热毛细流动进行了数值研究。我们考虑的配置，其中一部分的圆柱形表面是由一个非常薄的刚性膜覆盖，另一部分是未覆盖的，支持热毛细应力。定常轴对称流动采用有限差分法计算。除纵横比外，环形涡流的结构还强烈地依赖于圆柱形自由表面条的位置和相对尺寸。通过线性稳定性分析，研究了二维定常流对任意三维扰动的稳定性。分析了临界雷诺数和物理机制与液桥的纵横比、表面未覆盖部分的轴向位置和自由表面分数ε（即，自由表面的高度与液体区的整个高度的比率。当液体区只有一小部分被...
The thermocapillary flow in cylindrical half-zones is investigated numerically for low-Prandtl-number fluids. We consider a configuration in which part of the cylindrical surface is covered by a very thin rigid film and another part is uncovered, supporting thermocapillary stresses. The steady axisymmetric flow is calculated by finite differences. Besides the aspect ratio, the structure of the toroidal vortex flow depends strongly on the location and relative size of the cylindrical free-surface strip. The stability with respect to arbitrary three-dimensional perturbations of the steady two-dimensional flow is investigated by a linear stability analysis. The critical Reynolds numbers and the physical mechanisms are analyzed depending on the aspect ratio of the liquid bridge, the axial position of the uncovered part of the surface, and the free-surface fraction ξ, i.e., the ratio of the height of the free surface to the full height of the liquid zone. When only a small area of the liquid zone is covered by...