DERIVATION OF THE WENZEL AND CASSIE EQUATIONS FROM A PHASE FIELD MODEL FOR TWO PHASE FLOW ON ROUGH SURFACE
文献类型：期刊论文
| 作者 | Xu, Xianmin1,2 ; Wang, Xiaoping2
|
| 刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2010 |
| 卷号 | 70期号:8页码:2929-2941 |
| 关键词 | Wenzel equation Cassie equation homogenization |
| ISSN号 | 0036-1399 |
| DOI | 10.1137/090775828 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000285548900007 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9954]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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