DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE

doi:10.1137/090775828

	DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE
	Xu, Xianmin1,2 ; Wang, Xiaoping 2
	2010
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	70 期号:8 页码:2929-2941
摘要	In this paper, the equilibrium behavior of an immiscible two phase fluid on a rough surface is studied from a phase field equation derived from minimizing the total free energy of the system. When the size of the roughness becomes small, we derive the effective boundary condition for the equation by the multiple scale expansion homogenization technique. The Wenzel and Cassie 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 G-convergence theory.
关键词	Wenzel equation Cassie equation homogenization
DOI	10.1137/090775828
语种	英语
资助项目	King Abdullah University of Science and Technology (KAUST)[SA-C0040/UK-C0016] ; Hong Kong RGC-CERG[603107] ; Hong Kong RGC-CERG[604209] ; National Basic Research Program of China[2009CB623200] ; State Key Laboratory of Scientific and Engineering Computing
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000285548900007
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/9955
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. DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2010,70(8):2929-2941.
APA	Xu, Xianmin,&Wang, Xiaoping.(2010).DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE.SIAM JOURNAL ON APPLIED MATHEMATICS,70(8),2929-2941.
MLA	Xu, Xianmin,et al."DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE".SIAM JOURNAL ON APPLIED MATHEMATICS 70.8(2010):2929-2941.