Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid

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	Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid
	Jian YJ(菅永军); E XQ(鄂学全); Zhang J(张杰)
刊名	Applied Mathematics and Mechanics (English Edition)
	2006
通讯作者邮箱	jianyongjun@yahoo.com.cn
卷号	27 期号:3 页码:417-424
ISSN号	0253-4827
通讯作者	Jian, YJ (reprint author), State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong Prov, Peoples R China.
中文摘要	In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions is developed in weakly viscous fluids to investigate the motion of single free surface standing wave by linearizing the Navier-Stokes equation. The fluid field is divided into an outer potential flow region and an inner boundary layer region. The solutions of both two regions are obtained and a linear amplitude equation incorporating damping term and external excitation is derived. The condition to appear stable surface wave is obtained and the critical curve is determined. In addition, an analytical expression of damping coefficient is determined. Finally, the dispersion relation, which has been derived from the inviscid fluid approximation, is modified by adding linear damping. It is found that the modified results are reasonably closer to experimental results than former theory. Result shows that when forcing frequency is low, the viscosity of the fluid is prominent for the mode selection. However, when forcing frequency is high, the surface tension of the fluid is prominent.
学科主题	力学
类目[WOS]	Mathematics, Applied ; Mechanics
研究领域[WOS]	Mathematics ; Mechanics
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000236403900019
公开日期	2007-06-15
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/16772]
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. Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid[J]. Applied Mathematics and Mechanics (English Edition),2006,27(3):417-424.
APA	菅永军,鄂学全,&张杰.(2006).Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid.Applied Mathematics and Mechanics (English Edition),27(3),417-424.
MLA	菅永军,et al."Damping of Vertically Excited Surface Wave in Weakly Viscous Fluid".Applied Mathematics and Mechanics (English Edition) 27.3(2006):417-424.