Damping of vertically excited surface wave in weakly viscous fluid

	Damping of vertically excited surface wave in weakly viscous fluid
	Jian, YJ ; E, XQ ; Zhang, E
刊名	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
	2006-03
卷号	27 期号:3 页码:417-424
ISSN号	0253-4827
英文摘要	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.
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	SHANGHAI UNIV
WOS记录号	WOS:000236403900019
内容类型	期刊论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/26941]
专题	自然资源部第一海洋研究所
通讯作者	Jian, YJ
作者单位	1.State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong Prov, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China 3.State Ocean Adm, Key Lab Marine Sci & Numer Modeling, Qingdao, Shandong Prov, Peoples R China
推荐引用方式 GB/T 7714	Jian, YJ,E, XQ,Zhang, E. Damping of vertically excited surface wave in weakly viscous fluid[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2006,27(3):417-424.
APA	Jian, YJ,E, XQ,&Zhang, E.(2006).Damping of vertically excited surface wave in weakly viscous fluid.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,27(3),417-424.
MLA	Jian, YJ,et al."Damping of vertically excited surface wave in weakly viscous fluid".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 27.3(2006):417-424.