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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >THERMOCAPILLARY CONVECTION WITH UNDEFORMABLE CURVED SURFACES IN OPEN CYLINDERS
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THERMOCAPILLARY CONVECTION WITH UNDEFORMABLE CURVED SURFACES IN OPEN CYLINDERS

机译：敞开式圆柱体中具有弯曲曲面的热毛细管对流

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摘要

Thermocapillary convection driven by a uniform heat flux in an open cylindrical container of unit aspect ratio is investigated by two- and three-dimensional numerical simulations. The un-deformable free surface is either flat or curved as determined by the fluid volume (V ≤ 1) and the Young-Laplace equation. Convection is steady and axisymmetric at sufficiently low values of the Reynolds number (Re) with either flat or curved interfaces. Only steady convection is possible in strictly axisymmetric computations. Transition to oscillatory three-dimensional motions occurs as Re increases beyond a critical value dependent on Pr and V. With a flat free surface (V = 1), two-lobed pulsating waves are found on the free surface and prevail with increasing Re. While the critical Re increases with increasing Pr, the critical frequency decreases. In the case of a concave surface, four azimuthal waves are found rotating clockwise on the surface. The critical Re decreases with increasing fluid volume, and the critical frequency is found to increase. The numerical results with either flat or curved free surfaces axe in good quantitative agreement with space experiments.
机译：通过二维和三维数值模拟研究了由均匀热通量驱动的单位长宽比开放的圆柱形容器中的热毛细管对流。不可变形的自由表面可以是平坦的，也可以是弯曲的，由流体体积（V≤1）和Young-Laplace方程确定。对流稳定且轴对称，在平坦或弯曲界面的雷诺数（Re）足够低的情况下。在严格的轴对称计算中，仅稳定对流是可能的。当Re增加到超过取决于Pr和V的临界值时，会发生向振动三维运动的过渡。在平坦的自由表面（V = 1）的情况下，在自由表面上发现了两瓣脉动波，并且随着Re的增加而占优势。尽管临界Re随着Pr的增加而增加，但临界频率却降低了。在凹面的情况下，发现四个方位波在该表面上顺时针旋转。临界Re随着流体体积的增加而减小，并且发现临界频率增加。平面或曲面自由表面的数值结果与空间实验具有良好的定量一致性。

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