林昌盛,朱张磊,印万忠,姜又华.液滴在球面的钉扎:宏观前进与后退角的预测模型[J].表面技术,2021,50(8):95-100.
LIN Chang-sheng,ZHU Zhang-lei,YIN Wan-zhong,JIANG You-hua.Droplet Pinning on Spherical Surfaces:Prediction of Apparent Advancing and Receding Angles[J].Surface Technology,2021,50(8):95-100
液滴在球面的钉扎:宏观前进与后退角的预测模型
Droplet Pinning on Spherical Surfaces:Prediction of Apparent Advancing and Receding Angles
投稿时间:2021-06-13  修订日期:2021-07-29
DOI:10.16490/j.cnki.issn.1001-3660.2021.08.009
中文关键词:  接触角  宏观角  球面  吉布斯自由能  钉扎
英文关键词:contact angle  apparent angle  spherical surface  Gibbs free energy  pinning
基金项目:
作者单位
林昌盛 福州大学,福州 350108;广东以色列理工学院,广东 汕头 515063 
朱张磊 东北大学,沈阳 110819 
印万忠 福州大学,福州 350108;东北大学,沈阳 110819 
姜又华 广东以色列理工学院,广东 汕头 515063 
AuthorInstitution
LIN Chang-sheng Fuzhou University, Fuzhou 350108, China;Guangdong Technion-Israel Institute of Technology, Shantou 515063, China 
ZHU Zhang-lei Northeastern University, Shenyang 110819, China 
YIN Wan-zhong Fuzhou University, Fuzhou 350108, China;Northeastern University, Shenyang 110819, China 
JIANG You-hua Guangdong Technion-Israel Institute of Technology, Shantou 515063, China 
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中文摘要:
      目的 利用液滴在二维平面所测得的本征前进与后退接触角(即气液界面与固液界面夹角),预测液滴在不同曲率半径球面上的宏观前进与后退角(即气液界面与水平面夹角)。方法 基于吉布斯自由能、液滴体积、接触角和宏观角之间的关系,预测液滴在球面上的宏观角,并与试验数据进行对比验证。结果 液滴在聚对苯二甲酸乙二醇酯(PET)平面的本征前进与后退接触角分别为(91±2)°与(55±3)°。对于处于前进或后退趋势的液滴,当体系吉布斯自由能值最小时,液滴在球面上的接触角等于其在平面上测得的本征前进或后退接触角,此时所对应的宏观角为宏观前进或后退角。因此,可利用体系自由能的最小值预测液滴在球面的宏观前进与后退角。结果显示,当球面曲率半径为2、4、6、8 mm时,测得的液滴宏观前进角分别为(118±3)°、(110±2)°、(103±2)°、(100±2)°,宏观后退角分别为(82±2)°、(71±2)°、(64±3)°、(62±2)°,该结果与预测值吻合。结论 通过本征前进与后退接触角、液滴体积与球面曲率半径等已知量,建立了一个可预测液滴在球面上的宏观前进与后退角模型。
英文摘要:
      This paper aims to predict apparent advancing and receding angles, i.e., the angles between the liquid-gas interface and the horizontal plane, of droplets on spherical surfaces using the intrinsic advancing and receding contact angles, namely the angle between the liquid-gas interface and the solid-liquid interface. Based on the Gibbs free energy, droplet volume, and the correlation between the contact angle and the apparent angle, this study predicted the apparent angles of droplets on spherical surfaces and the predicted values were verified by experimental results. Results show that intrinsic advancing and receding contact angles are (91±2)° and (55±3)°, respectively, on a flat PET (Polyethylene Terephthalate) surface. For droplets on the edge of advancing or receding, the contact angles equal to the corresponding intrinsic contact angles when the Gibbs free energy of the system is at the minimal value, where the corresponding apparent angles are apparent advancing and receding angles. Therefore, the apparent advancing and receding angles of droplets on spherical surfaces can be predicted by minimizing the system Gibbs free energy. It is shown that the measured apparent advancing angles are (118±3)°, (110±2)°, (103±2)°, and (100±2)°, the apparent receding angles are (82±2)°, (71±2)°, (64±3)°, and (62±2)°, on spherical surfaces with radius of curvatures of 2 mm, 4 mm, 6 mm, and 8 mm, respectively. Such measured results agree well with the prediction. In conclusion, this paper develops a model that predicts apparent advancing and receding angles of droplets on spherical surfaces using the intrinsic advancing and receding contact angles, droplet volume, and radius of curvatures of the spherical surfaces.
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