High Marangoni number convection in a square cavity
High Marangoni number convection in a square cavity
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DOI：
10.1063/1.857763
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发表时间：
1984-05
影响因子：
4.6
通讯作者：
A. Zebib;G. Homsy;E. Meiburg
中科院分区：
文献类型：
--
作者：
A. Zebib;G. Homsy;E. Meiburg
稳态热毛细流动是在一个正方形的二维空腔与一个单一的自由表面和差分加热的侧壁。数值解是用有限差分法应用于流函数-温度公式得到的。本文研究了高Marangoni数流的普朗特数依赖性、结构和稳定性。结果表明，当1≤Pr≤50时，在超过1×105的Marangoni数范围内，热毛细流动对Prandtl数的变化非常敏感，当Pr≤ 100时，流动的大小与Marangoni数呈非单调关系.一个完整的结构之间的类比是观察流动在一个空腔驱动的移动盖和热毛细流动的边界层限制，它被发现，所有的解决方案，跨越范围广泛的Marangoni和普朗特数，是线性稳定的一类限制性的干扰。
Steady thermocapillary flow is examined in a square two‐dimensional cavity with a single free surface and differentially heated side walls. The numerical solutions are obtained with a finite difference method applied to a streamfunction‐temperature formulation. This work investigates the Prandtl number dependence, structure, and stability of high Marangoni number flow. It is found that the character of thermocapillary flow is highly sensitive to the value of the Prandtl number over a range of Marangoni numbers exceeding 1×105 for 1≤Pr≤50, the magnitude of the flow showing nonmonotonic dependence on the Marangoni number for Pr≤∼10. A complete structural analogy is observed between flow in a cavity driven by a moving lid and thermocapillary flow in the boundary layer limit, and it is found that all the solutions, spanning a wide range of Marangoni and Prandtl numbers, are linearly stable to a restricted class of disturbances.