Abstract This paper presents an original approach for measuring the surface tension of a liquid from capillary bridges between monodisperse spherical particles. This method is based on an exact analytical solution of Young-Laplace equation for a capillary doublet between two spherical particles coupled with capillary force measurement. The capillary forces between two equal-sized spherical particles are measured by a micro-balance, while the geometries of the capillary bridge are recorded using a high resolution camera. From the obtained images of capillary bridges, the meridional profiles of capillary bridges are determined by a high-resolution image processing technique and correlated to the measured capillary forces. The accuracy and effectiveness of the proposed approach have been demonstrated by measuring the surface tensions of silicone oil, castor oil and impure water. The developed capillary bridge method, only requiring a small volume of liquid, can be applied to all liquids with high accuracy.

中文翻译：

---

一种从两个相同大小的球形颗粒之间的毛细管桥测量液体表面张力的原始方法

摘要 本文提出了一种从单分散球形颗粒之间的毛细管桥测量液体表面张力的原始方法。该方法基于杨拉普拉斯方程的精确解析解，用于两个球形颗粒之间的毛细管双联体，并结合毛细管力测量。两个大小相等的球形颗粒之间的毛细管力由微量天平测量，而毛细管桥的几何形状则使用高分辨率相机记录。从获得的毛细管桥图像中，毛细管桥的子午剖面由高分辨率图像处理技术确定，并与测量的毛细管力相关联。通过测量硅油的表面张力，证明了所提出方法的准确性和有效性，蓖麻油和不纯水。开发的毛细管桥法，只需要少量液体，可以高精度地应用于所有液体。