Surface-tension-driven Bénard convection in small containers
Surface-tension-driven Bénard convection in small containers
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DOI：
10.1017/s0022112090002762
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发表时间：
1990-06
影响因子：
3.7
通讯作者：
E. Koschmieder;S. Prahl
中科院分区：
文献类型：
--
作者：
E. Koschmieder;S. Prahl
实验研究了三种不同的小圆形容器和一个小方形容器内表面张力驱动对流的开始和形式。在最小的圆形容器中，随着长径比的增加，图案首先由一个圆形滚轮组成，然后是由不同数量的方位节线勾勒出的圆的线段，最多有6个线段。方形容器中的简单解决方案是单细胞模式和由四个正方形细胞组成的模式。当方形容器中的细胞数量不是平方数时，就会产生意想不到的解决方案。当纵横比允许两个单元时，观察到两个三角形单元。三个单元格的空间，形成了一个正方形单元格和两个楔形单元格。所有流体层的对流开始都表现为临界Marangoni数随长宽比减小而急剧增加。
The onset and the form of surface-tension-driven convection in three different small circular and one small square container has been studied experimentally. In the smallest circular container, with increasing aspect ratio, the pattern consisted of first a circular roll and then segments of a circle outlined by different numbers of azimuthal nodal lines, with up to six segments. Simple solutions in the square container were the one-cellular pattern and a pattern consisting of four square cells. Unexpected solutions formed when the number of the cells in the square container was not a square number. When the aspect ratio permitted two cells, two triangular cells were observed. With space for three cells, one square cell and two wedge-shaped cells formed. The onset of convection in all fluid layers was characterized by a steep increase of the critical Marangoni number with decreasing aspect ratio.