The investigation of equilibrium contact state of liquid droplet on determined rough surfaces

Zhen Yang, Yanling Tian, Xianping Liu
{"title":"The investigation of equilibrium contact state of liquid droplet on determined rough surfaces","authors":"Zhen Yang, Yanling Tian, Xianping Liu","doi":"10.1109/3M-NANO.2017.8286314","DOIUrl":null,"url":null,"abstract":"This paper studied the rigorous derivations of Young, Wenzel and Cassie-Baxter (CB) equations based on Gibbs free energy. Two theoretical surface models, i.e. flat-top pillars and sinusoidal surface, were established to predict the equilibrium contact state, contact angle and wetted area. The intrinsic hydrophilic surface (θy =70°) and hydrophobic surface (θy =110°) were discussed, respectively. The contact states were investigated according to the Gibbs free energy minimization theory. It can be noted that the lower Gibbs free energy, the lower contact angle. The local or border minima of Gibbs energy indicates the existence of metastable or stable contact state. The influences of pillar height and sinusoidal amplitude on Gibbs energy and contact angles were also investigated. The transition point between Wenzel and CB state could be obtained. Furthermore, the wetted area, as the indicator to measure roll-off angle, demonstrates that in all cases, the wetted area under CB state was much smaller than Wenzel state for both flat-top pillars and sinusoidal surface models.","PeriodicalId":6582,"journal":{"name":"2017 IEEE International Conference on Manipulation, Manufacturing and Measurement on the Nanoscale (3M-NANO)","volume":"12 1","pages":"50-56"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE International Conference on Manipulation, Manufacturing and Measurement on the Nanoscale (3M-NANO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/3M-NANO.2017.8286314","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

This paper studied the rigorous derivations of Young, Wenzel and Cassie-Baxter (CB) equations based on Gibbs free energy. Two theoretical surface models, i.e. flat-top pillars and sinusoidal surface, were established to predict the equilibrium contact state, contact angle and wetted area. The intrinsic hydrophilic surface (θy =70°) and hydrophobic surface (θy =110°) were discussed, respectively. The contact states were investigated according to the Gibbs free energy minimization theory. It can be noted that the lower Gibbs free energy, the lower contact angle. The local or border minima of Gibbs energy indicates the existence of metastable or stable contact state. The influences of pillar height and sinusoidal amplitude on Gibbs energy and contact angles were also investigated. The transition point between Wenzel and CB state could be obtained. Furthermore, the wetted area, as the indicator to measure roll-off angle, demonstrates that in all cases, the wetted area under CB state was much smaller than Wenzel state for both flat-top pillars and sinusoidal surface models.
液滴在确定的粗糙表面上平衡接触状态的研究
本文研究了基于Gibbs自由能的Young、Wenzel和Cassie-Baxter (CB)方程的严格推导。建立了平顶柱和正弦曲面两种理论表面模型,预测了平衡接触状态、接触角和润湿面积。分别讨论了本征亲水表面(θy =70°)和疏水表面(θy =110°)。根据吉布斯自由能最小化理论研究了接触态。可以看出,吉布斯自由能越小,接触角越小。吉布斯能量的局域或边界极小值表明存在亚稳或稳定的接触态。研究了柱高和正弦振幅对吉布斯能和接触角的影响。得到了Wenzel态和CB态之间的过渡点。此外,作为衡量滚转角的指标的润湿面积表明,在所有情况下,无论是平顶柱还是正弦曲面模型,CB状态下的润湿面积都远小于Wenzel状态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信