周泽宇　张宇

摘 要：在进行旋转液滴法测界面张力的实验过程中，在液滴体积小或者界面张力值大的情况下，提高转速不能达到仪器测试的条件要求。对旋转液滴法测界面张力的模型进行分析，首先给出了旋转液滴椭圆形态计算界面张力的求解模型，对参数的敏感性进行了分析的同时刻画了椭圆边界的形态特征；其次根据建立的模型求解过程形成的数据库，建立了求解旋转液滴椭圆形态计算界面张力值的图版方法和迭代算法；再次列举出了一个新的求解方法，最后对以上各种计算方法进行了实例应用。研究认为各种方法下，推荐对液滴长度和直径都进行测量。

关 键 词：旋转液滴；界面张力；椭圆形态；图版方法；迭代算法

中图分类号：TQ 021 文献标识码： A 文章編号： 1671-0460（2017）07-1412-04

Model Analysis and Application of Interfacial Tension

Measured by Rotating Droplet Method

ZHOU Ze-yu1， ZHANG Yu2

（1. Northeast Petroleum University， Heilongjiang Daqing 163316，China；

2. Daqing Oilfield Company Downhole Operation Branch， Heilongjiang Daqing 163000，China）

Abstract： In the process of measuring interfacial tension experiment with rotating liquid drop method， the improvement of speed cannot meet the requirements of the instrument test in the case of small drops or large interfacial tension. In this paper， the model of interfacial tension measurement by rotating droplet method was analyzed. Firstly， the solution model for computing interfacial tension of elliptic rotating liquid droplet was presented， the sensitivity of parameters was analyzed and the morphological characteristics of elliptic boundary were also described； secondly， the graphic method and iterative algorithm for computing interfacial tension of the rotational liquid drop with elliptic shape was established based on the database formed by the solving process of established model； finally， the above calculation methods were applied， a new solving method was presented. The research suggests that the measurements for the length and diameter of the droplets are recommended.

Key words： Rotating droplet； Interfacial tension； Oval shape； Graphic method； Iterative algorithms

液-液相间界面张力[1]是一种重要的化工基础数据，是油田三次采油提高采收率评价中一个重要的参数指标。测量界面张力[2-4]的方法滴体积法（滴重法）、挂环法、吊片法（Wilhemy平板法）、悬滴法、静滴法（躺滴法）、旋转液滴法及等密度法等七种，国内在测量表面活性剂的低或者超低界面张力时，通常采用美国产Texas-500型旋转滴界面张力仪[5，6]。

Texas-500型旋转滴界面张力仪，是在样品管C中充满高密度液体B，再加入少量低密度液体A，密闭后，装于旋滴仪上，开动机器，转轴携带液体以角速度自旋，在离心力、重力及界面张力作用下，低密度液体在高密度液体中形成一长球形或圆柱形液滴，液滴的形状由转速和界面张力决定，如图1。……