Capillary effect on vertically excited surface wave in circular cylindrical vessel

doi:10.1007/s10483-006-0211-1

	Capillary effect on vertically excited surface wave in circular cylindrical vessel
	Jian, YJ ; E, XQ ; Zhang, J
刊名	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
	2006-02
卷号	27 期号:2 页码:227-234
关键词	vertically forced oscillation nonlinear amplitude equation surface tension surface wave modes
ISSN号	0253-4827
DOI	10.1007/s10483-006-0211-1
英文摘要	In a vertically oscillating circular cylindrical container, singular perturbation theory of two-time scale expansions was developed in inviscid fluids to investigate the motion of single free surface standing wave including the effect of surface tension. A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation. The results show that, when forced frequency is lower, the effect of surface tension on mode selection of surface wave is not important. However, when forced frequency is higher, the surface tension can,not be neglected. This proved that the surface tension causes free surface returning to equilibrium location. In addition, due to considering the effect of surface tension, the theoretical result approaches to experimental results much more than that of no surface tension.
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	SHANGHAI UNIV
WOS记录号	WOS:000235553600011
内容类型	期刊论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/26917]
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 266061, Shandong Prov, Peoples R China
推荐引用方式 GB/T 7714	Jian, YJ,E, XQ,Zhang, J. Capillary effect on vertically excited surface wave in circular cylindrical vessel[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2006,27(2):227-234.
APA	Jian, YJ,E, XQ,&Zhang, J.(2006).Capillary effect on vertically excited surface wave in circular cylindrical vessel.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,27(2),227-234.
MLA	Jian, YJ,et al."Capillary effect on vertically excited surface wave in circular cylindrical vessel".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 27.2(2006):227-234.