Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current
文献类型：期刊论文
| 作者 | Pang Jing; Chen Xiao-Gang; Song Jin-Bao |
| 刊名 | ACTA PHYSICA SINICA
 |
| 出版日期 | 2007-08-01 |
| 卷号 | 56期号:8页码:4733-4741 |
| 关键词 | Interfacial Wave Uniform Current Second-order Stokes Wave Solutions Kelvin-helmholtz Instability |
| ISSN号 | 1000-3290 |
| 文献子类 | Article |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000248684800064 |
| 公开日期 | 2010-12-30 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/6239]  |
| 专题 | 海洋研究所_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. |
入库方式： OAI收割
来源：海洋研究所
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