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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