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ANALYSIS FOR WETTING ON ROUGH SURFACES BY A THREE-DIMENSIONAL PHASE FIELD MODEL
Xu, Xianmin
2016-10-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN1531-3492
Volume21Issue:8Pages:2839-2850
AbstractIn 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.
KeywordThe modified Wenzel's equation the modified Cassie's equation homogenization
DOI10.3934/dcdsb.2016075
Language英语
Funding ProjectNSFC[11571354]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000388952800024
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24223
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
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.
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