Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel
文献类型：期刊论文
| 作者 | Jian YJ(菅永军) ; E XQ(鄂学全)
|
| 刊名 | Chinese Physics
 |
| 出版日期 | 2004 |
| 卷号 | 13期号:8页码:1191-1200 |
| 通讯作者邮箱 | jianyongjun@yahoo.com.cn |
| 关键词 | Vertically Forced Oscillation Weakly Viscid Fluid Surface Wave Modes Singular Perturbation Expansions Damping Coefficient Faraday Experiment Patterns |
| ISSN号 | 1009-1963 |
| 通讯作者 | Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China. |
| 中文摘要 | Two-time scale perturbation expansions were developed in weakly viscous fluids to investigate surface wave motions by linearizing the Navier-Stokes equation in a circular cylindrical vessel which is subject to a vertical oscillation. The fluid field was divided into an outer potential flow region and an inner boundary layer region. A linear amplitude equation of slowly varying complex amplitude, which incorporates a damping term and external excitation, was derived for the weakly viscid fluids. The condition for the appearance of stable surface waves was obtained and the critical curve was determined. In addition, an analytical expression for the damping coefficient was determined and the relationship between damping and other related parameters (such as viscosity, forced amplitude, forced frequency and the depth of fluid, etc.) was presented. Finally, the influence both of the surface tension and the weak viscosity on the mode formation was described by comparing theoretical and experimental results. The results show that when the forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when the forcing frequency is high, the surface tension of the fluid is prominent. |
| 类目[WOS] | Physics, Multidisciplinary |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | FARADAY EXPERIMENT ; PATTERNS |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000223156100003 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33785]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Jian YJ,E XQ. Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel[J]. Chinese Physics,2004,13(8):1191-1200. |
| APA | 菅永军,&鄂学全.(2004).Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel.Chinese Physics,13(8),1191-1200. |
| MLA | 菅永军,et al."Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel".Chinese Physics 13.8(2004):1191-1200. |
入库方式： OAI收割
来源：力学研究所
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