KMS Of Academy of mathematics and systems sciences, CAS
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. |
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