College of Textiles, North Carolina State University, 2401 Research Drive, Raleigh, North Carolina 27695-8301, United States.
Langmuir. 2012 Jan 10;28(1):722-8. doi: 10.1021/la2036407. Epub 2011 Nov 30.
Based on Carroll's derivation that describes a symmetric liquid drop sitting on an infinite cylindrical fiber and the shape of the drop, we have extended the derivation to describe a drop located at the bottom of cylindrical fibers standing on flat substrates. According to our derivation, the shape of the drop forms a bell as predicted by Carroll but is cut off by the flat substrate. This theoretical prediction was verified experimentally using water, ethylene glycol, and Kaydol drops on glass, nylon and polypropylene cylindrical fibers, and on polytetrafluoroethylene (PTFE) and polyester (PET) flat substrates. We found that only four parameters are required to obtain agreement between the theoretical shape and the observed shape: the drop volume, the fiber radius, the liquid-fiber contact angle, and liquid-flat substrate contact angle.
基于 Carroll 的推导，描述了一个对称的液滴坐在无限圆柱纤维上的形状，我们将这个推导扩展到描述一个位于平底圆柱纤维底部的液滴。根据我们的推导，液滴的形状形成了 Carroll 所预测的钟形，但被平底基底截断。这个理论预测通过在玻璃、尼龙和聚丙烯圆柱纤维上以及聚四氟乙烯（PTFE）和聚酯（PET）平底基底上使用水、乙二醇和 Kaydol 液滴进行了实验验证。我们发现，只有四个参数就可以获得理论形状和观察到的形状之间的一致：液滴体积、纤维半径、液体-纤维接触角和液体-基底接触角。
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