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An algorithm for selecting the most accurate protocol for contact angle measurement by drop shape analysis

机译：通过液滴形状分析选择最精确的接触角测量协议的算法

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摘要

In this study, an error analysis is performed to study real water drop images and the corresponding numerically generated water drop profiles for three widely used static contact angle algorithms: the circle- and ellipse-fitting algorithms and the axisymmetric drop shape analysis-profile (ADSA-P) algorithm. The results demonstrate the accuracy of the numerically generated drop profiles based on the Laplace equation. A significant number of water drop profiles with different volumes, contact angles, and noise levels are generated, and the influences of the three factors on the accuracies of the three algorithms are systematically investigated. The results reveal that the above-mentioned three algorithms are complementary. In fact, the circle- and ellipse-fitting algorithms show low errors and are highly resistant to noise for water drops with small/medium volumes and contact angles, while for water drop with large volumes and contact angles just the ADSA-P algorithm can meet accuracy requirement. However, this algorithm introduces significant errors in the case of small volumes and contact angles because of its high sensitivity to noise. The critical water drop volumes of the circle- and ellipse-fitting algorithms corresponding to a certain contact angle error are obtained through a significant amount of computation. To improve the precision of the static contact angle measurement, a more accurate algorithm based on a combination of the three algorithms is proposed. Following a systematic investigation, the algorithm selection rule is described in detail, while maintaining the advantages of the three algorithms and overcoming their deficiencies. In general, static contact angles over the entire hydrophobicity range can be accurately evaluated using the proposed algorithm. The ease of erroneous judgment in static contact angle measurements is avoided. The proposed algorithm is validated by a static contact angle evaluation of real and numerically generated water drop- images with different hydrophobicity values and volumes.
机译：在这项研究中，进行了误差分析，以研究三种广泛使用的静态接触角算法的真实水滴图像和相应的数值生成的水滴轮廓：圆形和椭圆拟合算法以及轴对称水滴形状分析轮廓（ADSA） -P）算法。结果证明了基于拉普拉斯方程数值生成的液滴分布的准确性。生成了大量具有不同体积，接触角和噪声水平的水滴轮廓，并且系统地研究了这三个因素对这三种算法的准确性的影响。结果表明，上述三种算法是互补的。实际上，对于小/中等体积和接触角的水滴，圆和椭圆拟合算法显示出较低的误差并且对噪声具有很高的抵抗力，而对于大体积和接触角的水滴，仅ADSA-P算法可以满足准确性要求。但是，由于其对噪声的高灵敏度，因此在小体积和接触角的情况下，该算法会引入明显的误差。通过大量的计算，可以获得与一定接触角误差相对应的圆形和椭圆拟合算法的临界水滴体积。为了提高静态接触角测量的精度，提出了一种基于三种算法结合的更精确的算法。在进行了系统研究之后，详细描述了算法选择规则，同时保持了这三种算法的优点并克服了它们的不足。通常，使用提出的算法可以准确评估整个疏水性范围内的静态接触角。避免了在静态接触角测量中容易出错的判断。通过对具有不同疏水性值和体积的实际和数字生成的水滴图像进行静态接触角评估，验证了所提出的算法。

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  • 来源
    《Review of Scientific Instruments》 |2014年第12期|1-10|共10页
  • 作者

    Xu Z.N.;

  • 作者单位

    State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Baoding 071003, China;

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  • 正文语种 eng
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