Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel

IMECH-IR > 力学所知识产出(1956-2008)

	Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel
	Jian YJ(菅永军); E XQ(鄂学全); Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China.
发表期刊	Chinese Physics
	2004
卷号	13 期号:8 页码:1191-1200
ISSN	1009-1963
摘要	Two-time scale perturbation expansions were developed in weakly viscous fluids to investigate surface wave motions by linearizing the Navier-Stokes equation in a circular cylindrical vessel which is subject to a vertical oscillation. The fluid field was divided into an outer potential flow region and an inner boundary layer region. A linear amplitude equation of slowly varying complex amplitude, which incorporates a damping term and external excitation, was derived for the weakly viscid fluids. The condition for the appearance of stable surface waves was obtained and the critical curve was determined. In addition, an analytical expression for the damping coefficient was determined and the relationship between damping and other related parameters (such as viscosity, forced amplitude, forced frequency and the depth of fluid, etc.) was presented. Finally, the influence both of the surface tension and the weak viscosity on the mode formation was described by comparing theoretical and experimental results. The results show that when the forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when the forcing frequency is high, the surface tension of the fluid is prominent.
关键词	Vertically Forced Oscillation Weakly Viscid Fluid Surface Wave Modes Singular Perturbation Expansions Damping Coefficient Faraday Experiment Patterns
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000223156100003
关键词[WOS]	FARADAY EXPERIMENT ; PATTERNS
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33785
专题	力学所知识产出(1956-2008)
通讯作者	Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Peoples R China.
推荐引用方式 GB/T 7714	Jian YJ,E XQ,Jian, YJ . Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel[J]. Chinese Physics,2004,13,8,:1191-1200.
APA	菅永军,鄂学全,&Jian, YJ .(2004).Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel.Chinese Physics,13(8),1191-1200.
MLA	菅永军,et al."Vertically forced surface wave in weakly viscous fluids bounded in a circular cylindrical vessel".Chinese Physics 13.8(2004):1191-1200.

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