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轴对称液桥的形貌与液桥力

Morphology and Liquid Bridge force of an Symmetrical Liquid Bridge

中文摘要英文摘要

液桥在自然界和工业中广泛存在,其中液桥力扮演了重要角色。本文根据最小势能原理推导了控制液桥形状的拉普拉斯方程,然后数值求解了不同形状探头周围液桥的形貌。得到的数值结果与近似解析解进行了对比。最后计算了具有圆柱形、圆锥形以及球形等不同探头周围液桥的液桥力。这些分析对于微操作、精密测量以及工程及生物过程有一定的价值。

Liquid bridge exists widely and liquid bridge force plays an important role in nature and industry. In this paper, the Laplace equation governing the liquid bridge’s shape is derived according to the principle of least potential energy. Then the morphologies of the liquid bridges around different punches are solved numerically. The approximated analytical solution is also obtained, which is compared with the numerical result. Finally, the liquid bridge forces about different shapes of the punches, such as cylinder, cone and sphere are calculated respectively. These analyses may be beneficial to micro-manipulation, precision measurement and some engineering or biology process.

刘建林

力学工程基础科学物理学

液桥最小势能原理数值解近似解析解液桥力

Liquid bridgePrinciple of least potential energyNumerical solutionpproximated analytical solutionLiquid bridge force

刘建林.轴对称液桥的形貌与液桥力[EB/OL].(2010-01-11)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/201001-405.点此复制

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