|
|||||
|
|
| DAMPING OF VERTICALLY EXCITED SURFACE WAVE IN WEAKLY VISCOUS FLUID | |
| 作者姓名： | 菅永军 鄂学全 张杰 |
| 作者单位： | First Institute of Oceanography State Oceanic Administration Qingdao 266061，Shandong Province，P. R. China，Institute of Mechanics，Chinese Academy of Sciences，Beijing 100080，P. R. China，Institute of Mechanics Chinese Academy of Sciences，Beijing 100080，P. R. China，First Institute of Oceanography State Oceanic Administration，Qingdao 266061，Shandong Province，P. R. China，Key Laboratory of Marine Science and Numerical Modeling，State Ocean Administration，Qingdao 266061，Shandong Province，P. R. China |
| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos.19772063, 19772068） and the Doctoral Research Fund of the Ministry of Education （No.20010141024） |
| 摘 要： | In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions is developed in weakly viscous fluids to investigate the motion of single free surface standing wave by linearizing the Navier-Stokes equation. The fluid field is divided into an outer potential flow region and an inner boundary layer region. The solutions of both two regions are obtained and a linear amplitude equation incorporating damping term and external excitation is derived. The condition to appear stable surface wave is obtained and the critical curve is determined. In addition, an analytical expression of damping coefficient is determined. Finally, the dispersion relation, which has been derived from the inviscid fluid approximation, is modified by adding linear damping. It is found that the modified results are reasonably closer to experimental results than former theory. Result shows that when forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when forcing frequency is high, the surface tension of the fluid is prominent. |
| 关 键 词： | 垂直受迫振动 粘性阻尼 粘性流体 Navier-Stokes方程 |
| 收稿时间： | 2003-06-09 |
| 修稿时间： | 2005-10-16 |
Damping of vertically excited surface wave in weakly viscous fluid |
|
| Yong-jun Jian,E Xue-quan,Jie Zhang.DAMPING OF VERTICALLY EXCITED SURFACE WAVE IN WEAKLY VISCOUS FLUID[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):417-424. | |
| Authors: | Yong-jun Jian E Xue-quan Jie Zhang |
| Institution: | 1. First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, Shandong Province, P. R. China;Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China 2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China 3. First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, Shandong Province, P. R. China;Key Laboratory of Marine Science and Numerical Modeling, State Ocean Administration,Qingdao 266061, Shandong Province, P. R. China |
| Abstract: | In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions is developed in weakly viscous fluids to investigate the motion of single free surface standing wave by linearizing the Navier-Stokes equation. The fluid field is divided into an outer potential flow region and an inner boundary layer region. The solutions of both two regions are obtained and a linear amplitude equation incorporating damping term and external excitation is derived. The condition to appear stable surface wave is obtained and the critical curve is determined. In addition, an analytical expression of damping coefficient is determined. Finally, the dispersion relation, which has been derived from the inviscid fluid approximation, is modified by adding linear damping. It is found that the modified results are reasonably closer to experimental results than former theory. Result shows that when forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when forcing frequency is high, the surface tension of the fluid is prominent. |
| Keywords: | vertically forced oscillation viscous damping weakly viscous fluid |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ | |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 | |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 | |