Meniscus Forces of Liquid Bridge between Two Parallel Planes (Comparison between Exact Solution and Approximations)
Meniscus Forces of Liquid Bridge between Two Parallel Planes (Comparison between Exact Solution and Approximations)
复制标题
两个平行平面之间液桥的弯液面力（精确解与近似解的比较）
DOI：
10.1299/kikaic.78.2266
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
S. Kaneko
中科院分区：
文献类型：
--
作者：
H. Taura;S. Kaneko
本文从理论上研究了两平行平面间形成的液桥的形状和作用在其上的弯月面力，并指出了桥截面的高宽比、接触角对弯月面力的影响。利用Delaunary曲面获得的弯月面轮廓的表面曲率计算了对弯月面力有重要贡献的拉普拉斯压力。在理论模型中还考虑了弯月面桥三线上的表面张力，这是弯月面力的另一个贡献。理论结果表明，后者的贡献不能被忽略的一个区域的ε> 0.1。采用弯月面截面为圆曲率的假设，计算了近似解的结果。这些结果表明，当采用由弯月面桥半径和近似圆弧的弯月面半径导出的表面曲率并考虑表面张力对三线的影响来计算弯月面力时，该假设在宽的曲率范围内是适用的。
This paper theoretically investigates the profiles of liquid bridge formed between two parallel planes and the meniscus forces acting on them, and shows the effects of the aspect ratio of the bridge section and the contact angle on the meniscus force. Laplace pressure, which is a major contribution to the meniscus force, is calculated with the surface curvature of the meniscus profiles obtained by using the Delaunary surface. Surface tension on the triple line of the meniscus bridge, which is another contribution to the meniscus force, is also considered in the theoretical model. The theoretical results show that the latter contribution cannot be neglected for a region of > 0.1. By using the assumption of a circle curvature for the cross-section of the meniscus profile, the approximate solutions results are also calculated. These results demonstrate that the assumption is available for a wide range of when the meniscus forces are calculated with the surface curvature derived from both the radius of the meniscus bridge and the meniscus radius of the approximation circular arc and the effect of the surface tension on the triple line included.