PSO算法应用于悬滴法表面张力的计算  

Surface tension calculation by pendant drop method using PSO algorithm

作　　者：刘文芳 田汉民 刘维龙 LIU Wenfang;TIAN Hanmin;LIU Weilong(School of Electronic Information Engineering,Hebei University of Technology,Tianjin 300401,China;Tianjin Key Laboratory of Electronic Materials and Devices,Tianjin 300401,China)

机构地区：[1]河北工业大学电子信息工程学院,天津300401 [2]天津市电子材料与器件重点实验室,天津300401

出　　处：《传感器与微系统》2024年第4期149-151,156,共4页Transducer and Microsystem Technologies

摘　　要：基于悬滴法理论,通过编写杨氏—拉普拉斯(Young-Laplace)微分方程,改进了求解实际液滴曲线的最优化参数等环节,对液体的表面张力进行了测量研究。针对通过CCD获取的液滴图像,使用Canny算子提取实际液滴轮廓,用4~5阶龙格库塔法计算理论轮廓。对两条轮廓进行拟合的过程中,使用遗传算法(GA)和粒子群优化(PSO)算法进行参数优化,得到接近实际曲线的理论曲线。根据寻优得到的最优化参数,参与计算出液滴的表面张力。本文通过两种算法对常温液体进行测量,测量结果表明:PSO算法具有较高的准确性和稳定性,且PSO算法无需给定初值,适宜仪器使用实际。Based on the theory of hanging drop method,by writing Young-Laplace differential equation,the optimum parameters for solving actual droplet curve are improved,and the surface tension of liquid is measured and studied.Aiming at the droplet image obtained by CCD,the Canny operator is used to extract the actual droplet contour,and the 4~5 order Runge-Kutta method is used to calculate the theoretical contour.In the process of fitting the two contours,genetic algorithm(GA)and particle swarm optimization(PSO)algorithm are used to optimize the parameters,and the theoretical curve which closes to the actual curve is obtained.The surface tension of the droplet is calculated according to the optimum parameters obtained by optimizing.Two kinds of algorithms are used to measure liquid at room temperature.The measurement results show that the PSO algorithm has high accuracy and stability,and the PSO algorithm does not need a given initial value,so it is suitable for the practical use of instruments.

关 键 词：表面张力 悬滴法 杨氏—拉普拉斯方程 粒子群优化算法 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]