Evolution of liquid meniscus shape in a capillary tube
Evolution of liquid meniscus shape in a capillary tube
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DOI：
10.1115/1.2746898
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发表时间：
2007-08-01
影响因子：
2
通讯作者：
Lee, Hong-Draw
中科院分区：
文献类型：
--
作者：
Lee, Shong-Leih;Lee, Hong-Draw
仍然有许多未回答的问题有关的毛细管表面上升的问题在一个管。主要问题之一是液体弯月面形状的演变。本文提出了一种简单的几何方法来求解弯月面上的力平衡方程。基于适当的宏观动态接触角模型，得到了弯月面的演化过程，包括移动速度和形状。零动态接触角的壁面条件是允许的。在接触线处产生的滑移速度成功地解决了应力奇异性。本方法的性能通过六个有据可查的毛细上升的例子进行检查。如果动态接触角的可靠模型是可用的，则可以观察到预测和测量之间的良好一致性。虽然本文只讨论了毛细上升问题，但这种方法的概念同样适用于毛细力占主导地位的接触线附近的自由表面流动。
There are still many unanswered questions related to the problem of a capillary surface rising in a tube. One of the major questions is the evolution of the liquid meniscus shape. In this paper, a simple geometry method is proposed to solve the force balance equation on the liquid meniscus. Based on a proper model for the macroscopic dynamic contact angle, the evolution of the liquid meniscus, including the moving speed and the shape, is obtained. The wall condition of zero dynamic contact angle is allowed. The resulting slipping velocity at the contact line resolves the stress singularity successfully. Performance of the present method is examined through six well-documented capillary-rise examples. Good agreements between the predictions and the measurements are observable if a reliable model for the dynamic contact angle is available. Although only the capillary-rise problem is demonstrated in this paper, the concept of this method is equally applicable to free surface flow in the vicinity of a contact line where the capillary force dominates the flow.