Effect of surface tension on the mode selection of vertically excited surface waves in a circular cylindrical vessel
Jian YJ(菅永军); E XQ(鄂学全); Zhang J(张杰); Meng JM
刊名Chinese Physics
2004
通讯作者邮箱jianyongjun@yahoo.com.cn
卷号13期号:12页码:2013-2020
关键词Vertically Forced Oscillation Nonlinear Amplitude Equation Surface Tension Surface Wave Modes Faraday Experiment Capillary Waves Container 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.
类目[WOS]Physics, Multidisciplinary
研究领域[WOS]Physics
关键词[WOS]FARADAY EXPERIMENT ; CAPILLARY WAVES ; CONTAINER ; PATTERNS
收录类别SCI ; EI
语种英语
WOS记录号WOS:000225550200007
公开日期2009-08-03 ; 2010-06-13
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/33731]  
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,Zhang J,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 菅永军,鄂学全,Zhang J,&Meng JM.(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 菅永军,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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