曲率对径向热毛细流热液波不稳定性的影响
Effects of curvature on hydrothermal waves instability of radial thermocapillary flows
摘要:
分析了扩展圆柱体中热毛细流动的稳定性。当沿水平自由表面施加径向温度梯度时,这种流动发生在具有圆盘形状的薄液体层中。除了纵横比,第二个参数有关的局部曲率被引入到完整的描述的几何效果。我们恢复经典的热液波史密斯和戴维斯预测,但这些波的属性与曲率参数的演变,从而导致一个不均匀的图案在细胞。此外,它示出的问题是不是不变的交换的热侧和冷侧。
英文摘要:
The stability of a thermocapillary flow in an extended cylindrical geometry is analyzed. This flow occurs in a thin liquid layer with a disk shape when a radial temperature gradient is applied along the horizontal free surface. Besides the aspect ratio, a second parameter related to the local curvature is introduced to describe completely the geometrical effects. We recover classical hydrothermal waves as predicted by Smith and Davis but the properties of these waves are shown to evolve with the curvature parameter, thus leading to a non uniform pattern over the cell. Moreover, it is shown that the problem is not invariant with respect to the exchange of the hot and cold sides.
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