Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation

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	Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation
	Chang L; Jian YJ; Su J; Na R; Liu QS; He GW(何国威)
刊名	Wave Motion
	2014-07
通讯作者邮箱	jianyongjun@yahoo.com.cn
卷号	51 期号:5 页码:804-817
关键词	Inviscid two-layer fluids Vertical periodical oscillation Two-time scale expansions Nonlinear interfacial waves Circular cylindrical container
ISSN号	0165-2125
通讯作者	Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Inner Mongolia, Peoples R China.
产权排序	[Chang, L.; Jian, Y. J.; Su, J.; Na, R.; Liu, Q. S.] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Inner Mongolia, Peoples R China; [Chang, L.] Inner Mongolia Univ Finance & Econ, Sch Math & Stat, Hohhot 010051, Inner Mongolia, Peoples R China; [He, G. W.] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100080, Peoples R China
中文摘要	Singular perturbation theory of two-time scale expansions was developed in inviscid fluids to investigate the motion of single interface standing wave in a two-layer liquid-filled circular cylindrical vessel, which is subjected to a vertical periodical oscillation. It is assumed that the fluid in the circular cylindrical vessel is inviscid, incompressible and the motion is irrotational, a nonlinear amplitude equation including cubic nonlinear and vertically forced terms, was derived by the method of expansion of two-time scales without taking the influence of surface tension into account. By numerical computation, it is shown that different patterns of interface standing wave can be excited for different driving frequency and amplitude. We found that the interface wave mode become more and more complex as increasing of upper to lower layer density ratio gamma. The traits of the standing interface wave were proved theoretically. In addition, the dispersion relation and nonlinear amplitude equation obtained in this article can reduce to the known results for a single fluid when gamma = 0, h(2) -> h(1). 2014 Elsevier B.V. All rights reserved.
分类号	二类
收录类别	SCI ; EI
资助信息	The work was supported by the National Natural Science Foundation of China (Grant Nos. 11062005, 11202092, 11362012), Opening fund of State Key Laboratory of Nonlinear Mechanics, the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT-13-A02), the Natural Science Foundation of Inner Mongolia (Grant Nos. 2010B50107, 2012MS0107), Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region, the postgraduate scientific research innovation project of Inner Mongolia and the enhancing comprehensive strength project of Inner Mongolia University (Grant No. 1402020201).
原文出处	http://dx.doi.org/10.1016/j.wavemoti.2014.02.001
语种	英语
WOS记录号	WOS:000337553500009
公开日期	2014-09-02
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49024]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Chang L,Jian YJ,Su J,et al. Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation[J]. Wave Motion,2014,51(5):804-817.
APA	Chang L,Jian YJ,Su J,Na R,Liu QS,&He GW.(2014).Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation.Wave Motion,51(5),804-817.
MLA	Chang L,et al."Nonlinear interfacial waves in a circular cylindrical container subjected to a vertical excitation".Wave Motion 51.5(2014):804-817.