ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL

doi:10.3934/dcdsb.2016075

	ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL
	Xu, Xianmin
	2016-10-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	21 期号:8 页码:2839-2850
摘要	In this paper, we consider the derivation of the modified Wenzel's and Cassie's equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel's and Cassie's equations for the apparent contact angles on the rough surfaces are then derived from the effective boundary condition. The homogenization results are proved rigorously by the Gamma-convergence theory.
关键词	The modified Wenzel's equation the modified Cassie's equation homogenization
DOI	10.3934/dcdsb.2016075
语种	英语
资助项目	NSFC[11571354]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000388952800024
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24223
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	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xianmin. ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2016,21(8):2839-2850.
APA	Xu, Xianmin.(2016).ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,21(8),2839-2850.
MLA	Xu, Xianmin."ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 21.8(2016):2839-2850.