Effect of free surface heat loss and rotation on transition to oscillatory thermocapillary convection
Effect of free surface heat loss and rotation on transition to oscillatory thermocapillary convection
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DOI：
10.1063/1.1428323
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发表时间：
2002
影响因子：
4.6
通讯作者：
Bok-Cheol Sim;A. Zebib
中科院分区：
文献类型：
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作者：
Bok-Cheol Sim;A. Zebib
用数值方法研究了从内壁受热的开放圆柱环内的振荡热毛细对流。得到了宽高比为1和普朗特数为30时的模拟结果，并与现有空间实验结果进行了比较。研究了表面热损失(由Biot数（Bi）或航天器或轨道旋转通过科氏力（由量级为Ta的矢量泰勒数量化）对临界雷诺数（Rec）和对流模式的影响。在Re值足够低时，流动是稳定的和轴对称的。在没有旋转的情况下，我们在Rec附近的自由表面观察到顺时针移动的两叶等温线模式。在Rec以外，随着Re的增加，观察到两叶或三叶脉动或三叶旋转模式。自由表面上的等温线模式与实验结果吻合得很好。当Ta小于1时（与实验有关），旋转对Rec和流场的影响较小。
Oscillatory thermocapillary convection in an open cylindrical annulus heated from the inside wall is investigated numerically. Results for aspect ratio of 1 and Prandtl number of 30 are obtained to compare the simulations with available space experiments. The influence of surface heat loss as quantified by a Biot number (Bi) or spacecraft or orbital rotation through the Coriolis force, as quantified by a vector Taylor number of magnitude Ta, on the critical Reynolds number (Rec) and pattern of convection is investigated. The flow is steady and axisymmetric at sufficiently low values of Re. In the absence of rotation, we observe a two-lobed, isotherm pattern travelling clockwise at the free surface near Rec. A two- or three-lobed pulsating or a three-lobed rotating pattern is observed with increasing Re beyond Rec. Isotherm patterns on the free surface are in good agreement with experimental results. With Ta less than 1, which is relevant to the experiments, the effect of rotation on Rec and flow field is ...