Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel
Jian, Yong-Jun1,2; Xue-Quan, E.2; Zhang, Jie1,3; Meng, Jun-Min1,3
刊名CHINESE PHYSICS
2004-12
卷号13期号:12页码:2013-2020
关键词vertically forced oscillation nonlinear amplitude equation surface tension surface wave modes
ISSN号1009-1963
DOI10.1088/1009-1963/13/12/007
英文摘要Singular perturbation theory of two-time-scale expansions was developed in inviscid fluids to investigate patternforming, structure of the single surface standing wave, and its evolution with time in a circular cylindrical vessel subject to a vertical oscillation. A nonlinear slowly varying complex amplitude equation, which involves a cubic nonlinear term, an external excitation and the influence of surface tension, was derived from the potential flow equation. Surface tension was introduced by the boundary condition of the free surface in an ideal and incompressible fluid. The results show that when forced frequency is low, the effect of surface tension on the mode selection of surface waves is not important. However, when the forced frequency is high, the surface tension cannot be neglected. This manifests that the function of surface tension is to cause the free surface to return to its equilibrium configuration. In addition, the effect of surface tension seems to make the theoretical results much closer to experimental results.
WOS研究方向Physics
语种英语
出版者CHINESE PHYSICAL SOC
WOS记录号WOS:000225550200007
内容类型期刊论文
源URL[http://ir.fio.com.cn/handle/2SI8HI0U/4772]  
专题业务部门_海洋物理与遥感研究室
作者单位1.First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China;
2.Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China;
3.Key Laboratory of Marine Science and Numerical Modelling, State Ocean Administration, Qingdao 266061, China
推荐引用方式
GB/T 7714
Jian, Yong-Jun,Xue-Quan, E.,Zhang, Jie,et al. Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel[J]. CHINESE PHYSICS,2004,13(12):2013-2020.
APA Jian, Yong-Jun,Xue-Quan, E.,Zhang, Jie,&Meng, Jun-Min.(2004).Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel.CHINESE PHYSICS,13(12),2013-2020.
MLA Jian, Yong-Jun,et al."Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel".CHINESE PHYSICS 13.12(2004):2013-2020.
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