High accuracy contact angle measurement method based on Young-Laplace equation
The precise solution of the droplet basic physical formula Young-Laplace equations can theoretically obtain the contact Angle values with higher accuracy by the high ratio method,the circle and ellipse fitting method,and the curve fitting method.However,the nonlinear multivariable differential property of the equations makes the speed,accura-cy and reliability of the practical solution affected by the solving algorithm.Aiming at the deficiency of using Euclidean distance as the objective function of Young-Laplace equations,this paper proposes to use curve similarity as the objec-tive function,and solves it by using improved DTW algorithm.At the same time,a variety of optimization algorithms such as variable step-size grid search method,genetic algorithm and particle swarm optimization algorithm are used to opti-mize and fit the actual contour of the droplet,and the theoretical curve closest to the actual curve is obtained.Based on the obtained theoretical curves,the contact angles of the droplet were calculated by using the equations of Young-La-place and compared with the commonly used measurement methods.The results show that the method is simple and ac-curate with a measurement error of less than 0.1°,and is a feasible contact angle measurement method.
万方数据
维普
