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| CAPILLARY EFFECT ON VERTICALLY EXCITED SURFACE WAVE IN CIRCULAR CYLINDRICAL VESSEL | |
| 引用本文： | 菅永军,鄂学全,张杰. CAPILLARY EFFECT ON VERTICALLY EXCITED SURFACE WAVE IN CIRCULAR CYLINDRICAL VESSEL[J]. 应用数学和力学(英文版), 2006, 27(2): 227-234. DOI: 10.1007/s 10483-006-0211-1 |
| 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 and 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 was developed in inviscid fluids to investigate the motion of single free surface standing wave including the effect of surface tension. A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation. The results show that, when forced frequency is lower, the effect of surface tension on mode selection of surface wave is not important. However, when forced frequency is higher, the surface tension can not be neglected. This proved that the surface tension causes free surface returning to equilibrium location. In addition, due to considering the effect of surface tension, the theoretical result approaches to experimental results much more than that of no surface tension. |
| 关 键 词： | 垂直受迫振动 非线性振幅方程 表面张力 表面波模型 |
| 收稿时间： | 2004-06-09 |
| 修稿时间： | 2005-08-17 |
Capillary effect on vertically excited surface wave in circular cylindrical vessel |
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| Yong-jun Jian,E Xue-quan,Jie Zhang. Capillary effect on vertically excited surface wave in circular cylindrical vessel[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(2): 227-234. DOI: 10.1007/s 10483-006-0211-1 | |
| Authors: | Yong-jun Jian E Xue-quan Jie Zhang |
| Affiliation: | 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 was developed in inviscid fluids to investigate the motion of single free surface standing wave including the effect of surface tension. A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation. The results show that, when forced frequency is lower, the effect of surface tension on mode selection of surface wave is not important. However, when forced frequency is higher, the surface tension can not be neglected. This proved that the surface tension causes free surface returning to equilibrium location. In addition, due to considering the effect of surface tension, the theoretical result approaches to experimental results much more than that of no surface tension. |
| Keywords: | vertically forced oscillation nonlinear amplitude equation surface tension surface wave modes |
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