利用Young-Laplace算法程序计算液体表面张力

The Calculation of Liquid Surface Tension Using Young-Laplace Algorithm

通过编写Young-Laplace算法,将数码摄像捕捉的液滴彩色图像进行数字化处理,以计算液滴表面张力。针对液滴的彩色图像,利用Photoshop软件和Canny算法等图像边缘检测方法得到了液滴的实验轮廓点。基于静滴法的基本方程,运用牛顿迭代法和增量加载法对液滴的实验轮廓进行曲线拟合,得到最接近实际曲线的理想曲线。根据最优的拟合曲线,计算出了液滴的表面张力和相关的物理参数。通过Young-Laplace算法计算出了纯铁在不同温度下的表面张力,并且与其他文献值偏差较小,证明了此方法可行、可靠有效。

The color images of droplet captured by digital camera were digitized to calculate the surface tension of droplet with the special Young-Laplace algorithm. The photoshop software and Canny algorithm which is one of the image detection method,were used to transform the color images of droplet into the experimental outline point.Based on the fundamental equation of sessile drop method,the experimental outline was curve fitted using the method of incremental loading in conjunction with the Newton＇s method. The aim was to get a theoretical curve which was the most close to the actual curve. The surface tension and related physical parameters of droplet were calculated according to the theoretical curve. The Young-Laplace algorithm was used to calculate the surface tension of pure iron at different temperatures. Compared with that of other literatures,the deviation was small,which indicated that the Young-Laplace algorithm was feasible,reliable and effective.