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利用计算机辅助图像处理从悬滴轮廓测定界面张力

Determination of Interfacial Tension from the Profile of a Pendant Drop Using Computer-Aided Image Processing.

作者信息

Song B, Springer J

机构信息

Institut fur Technische Chemie, Fachgebiet Makromolekulare Chemie, Technische Universitat Berlin, Strasse des 17. Juni 135, Berlin, Federal Republic of Germany, D-10623

出版信息

J Colloid Interface Sci. 1996 Dec 1;184(1):64-76.

PMID:8954640
Abstract

A method of profile optimization for determining the surface and interfacial tension (IFT) of liquid-fluid systems from the profile of a pendant drop is described. A new, versatile routine for estimating the drop shape parameter is introduced. The factors that affect the available accuracy of the method have been analyzed using theoretical simulations. It was found that the tilt of the drop profiles may lead to large errors in the resultant IFT values if the tilt was not corrected before or during the optimization procedure. This effect could be reduced drastically if a profile were averaged between its two sides and the mean profile were used for optimization. The aspect ratio of a drop image (or profile) can be determined reliably by considering it one of the parameters to be optimized. The dependence of the error in the resultant IFT value on the error in the aspect ratio was found to be highly sensitive to drop shape. The available accuracy of IFT determination using this method depends strongly on the precision of the determination of the drop profiles. After error analysis using theoretical simulations a 95% confidence interval of ca. 0.05 and 0.12% was estimated for this method for the profiles determined with maximum statistical error of 3.5 and 7.0 μm, respectively.

摘要

描述了一种通过悬滴轮廓确定液-液体系表面和界面张力(IFT)的轮廓优化方法。介绍了一种用于估计液滴形状参数的新型通用程序。使用理论模拟分析了影响该方法可用精度的因素。结果发现,如果在优化过程之前或期间未对液滴轮廓的倾斜进行校正,则液滴轮廓的倾斜可能会导致所得IFT值出现较大误差。如果对轮廓两侧进行平均并将平均轮廓用于优化,则这种影响可以大大降低。通过将液滴图像(或轮廓)的纵横比视为要优化的参数之一,可以可靠地确定其纵横比。发现所得IFT值的误差对纵横比误差的依赖性对液滴形状高度敏感。使用该方法确定IFT的可用精度在很大程度上取决于液滴轮廓确定的精度。在使用理论模拟进行误差分析后,对于分别以3.5和7.0μm的最大统计误差确定的轮廓,该方法的95%置信区间估计约为0.05%和0.12%。

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