Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current

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	Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current
	Pang Jing ; Chen Xiao-Gang ; Song Jin-Bao
	2007-08-01
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	56 期号:8 页码:4733-4741
文章类型	Article
摘要	In this paper, interfacial waves in three-layer stratified fluid with background current are investigated using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory, and the Kelvin-Helmholtz instability of interfacial waves is studied. As expected, for three-layer stratified fluid with background current, the first-order asymptotic solutions (linear wave solutions), dispersion relation and the second-order asymptotic solutions derived depend on not only the depths and densities of the three-layer fluid but also the background current of the fluids, and the second-order Stokes wave solutions of the associated elevations of the interfacial waves describe not only the second-order nonlinear wave-wave interactions between the interfacial waves but also the second-order nonlinear interactions between the interfacial waves and currents. It is also noted that the solutions obtained from the present work include the theoretical results derived by Chen et al (2005) as a special case. It also shows that with the given wave number k (real number) the interfacial waves may show Kelvin-Helmholtz instability.; In this paper, interfacial waves in three-layer stratified fluid with background current are investigated using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory, and the Kelvin-Helmholtz instability of interfacial waves is studied. As expected, for three-layer stratified fluid with background current, the first-order asymptotic solutions (linear wave solutions), dispersion relation and the second-order asymptotic solutions derived depend on not only the depths and densities of the three-layer fluid but also the background current of the fluids, and the second-order Stokes wave solutions of the associated elevations of the interfacial waves describe not only the second-order nonlinear wave-wave interactions between the interfacial waves but also the second-order nonlinear interactions between the interfacial waves and currents. It is also noted that the solutions obtained from the present work include the theoretical results derived by Chen et al (2005) as a special case. It also shows that with the given wave number k (real number) the interfacial waves may show Kelvin-Helmholtz instability.
关键词	Interfacial Wave Uniform Current Second-order Stokes Wave Solutions Kelvin-helmholtz Instability
收录类别	SCI
语种	英语
WOS记录号	WOS:000248684800064
引用统计	被引频次：6[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/6238
专题	海洋环流与波动重点实验室
作者单位	1.Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
推荐引用方式 GB/T 7714	Pang Jing,Chen Xiao-Gang,Song Jin-Bao. Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current[J]. ACTA PHYSICA SINICA,2007,56(8):4733-4741.
APA	Pang Jing,Chen Xiao-Gang,&Song Jin-Bao.(2007).Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current.ACTA PHYSICA SINICA,56(8),4733-4741.
MLA	Pang Jing,et al."Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current".ACTA PHYSICA SINICA 56.8(2007):4733-4741.

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