ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES

doi:10.1137/110829593

	ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES
	Xu, Xianmin1 ; Wang, Xiaoping 2
	2011
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	71 期号:5 页码:1753-1779
摘要	Wetting and contact angle hysteresis on chemically patterned surfaces in two dimensions are analyzed from a stationary phase-field model for immiscible two phase fluids. We first study the sharp-interface limit of the model by the method of matched asymptotic expansions. We then justify the results rigorously by the Gamma-convergence theory for the related variational problem and study the properties of the limiting minimizers. The results also provide a clear geometric picture of the equilibrium configuration of the interface. This enables us to explicitly calculate the total surface energy for the two phase systems on chemically patterned surfaces with simple geometries, namely the two phase flow in a channel and the drop spreading. By considering the quasi-static motion of the interface described by the change of volume (or volume fraction), we can follow the change-of-energy landscape which also reveals the mechanism for the stick-slip motion of the interface and contact angle hysteresis on the chemically patterned surfaces. As the interface passes through patterned surfaces, we observe not only stick-slip of the interface and switching of the contact angles but also the hysteresis of contact point and contact angle. Furthermore, as the size of the pattern decreases to zero, the stick-slip becomes weaker but the hysteresis becomes stronger in the sense that one observes either the advancing contact angle or the receding contact angle (when the interface is moving in the opposite direction) without the switching in between.
关键词	contact angle hysteresis phase-field model Gamma-convergence
DOI	10.1137/110829593
语种	英语
资助项目	King Abdullah University of Science and Technology (KAUST)[SA-C0040/UK-C0016] ; Hong Kong RGC-GRF[603107] ; Hong Kong RGC-GRF[604209] ; National Basic Research Program of China[2009CB623200] ; NSFC[11001260] ; State Key Laboratory of Scientific and Engineering Computing of China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000296584100010
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11696
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Xianmin
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xianmin,Wang, Xiaoping. ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2011,71(5):1753-1779.
APA	Xu, Xianmin,&Wang, Xiaoping.(2011).ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES.SIAM JOURNAL ON APPLIED MATHEMATICS,71(5),1753-1779.
MLA	Xu, Xianmin,et al."ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES".SIAM JOURNAL ON APPLIED MATHEMATICS 71.5(2011):1753-1779.