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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); Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Inner Mongolia, Peoples R China.
Source PublicationWave Motion
2014-07
Volume51Issue:5Pages:804-817
ISSN0165-2125
AbstractSingular 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.
KeywordInviscid Two-layer Fluids Vertical Periodical Oscillation Two-time Scale Expansions Nonlinear Interfacial Waves Circular Cylindrical Container
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000337553500009
Funding OrganizationThe 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).
DepartmentLNM湍流
Classification二类
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49023
Collection非线性力学国家重点实验室
Corresponding AuthorJian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Inner Mongolia, Peoples R China.
Recommended Citation
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.,...&Jian, YJ .(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.
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