| Third-Order Stokes Wave Solutions of the Free Surface Capillary-Gravity Wave and the Interfacial Internal Wave |
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| 作者姓名： | MENG Rui-jun CUI Ji-feng CHEN Xiao-gang ZHANG Bao-le ZHANG Hong-bo |
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| 作者单位： | College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China |
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| 基金项目： | The project was financially supported by the Science Research Project of Inner Mongolia University of Technology, China (Grant No. ZD201613). |
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| 摘 要： | Based on the Stokes wave theory, the capillary-gravity wave and the interfacial internal wave in two-layer constant depth''s fluid system are investigated. The fluids are assumed to be incompressible, inviscid and irrotational. The third-order Stokes wave solutions are given by using a perturbation method. The results indicate that the third-order solutions depend on the surface tension, the density and the depth of each layer. As expected, the first-order solutions are the linear theoretical results (the small amplitude wave theoretical results). The second-order and the third-order solutions describe the nonlinear modification and the nonlinear interactions. The nonlinear impact appears not only in the n (n≥2) times'' high frequency components, but also in the low frequency components. It is also noted that the wave velocity depends on the wave number, depth, wave amplitude and surface tension.
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| 关 键 词： | surface tension capillary-gravity waves Stokes wave theory third-order Stokes wave solutions |
| 收稿时间： | 2016/9/7 0:00:00 |
| 修稿时间： | 2017/6/21 0:00:00 |
Third-Order Stokes Wave Solutions of the Free Surface Capillary-Gravity Wave and the Interfacial Internal Wave |
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| MENG Rui-jun,CUI Ji-feng,CHEN Xiao-gang,ZHANG Bao-le,ZHANG Hong-bo.Third-Order Stokes Wave Solutions of the Free Surface Capillary-Gravity Wave and the Interfacial Internal Wave[J].Ocean Engineering,2017(6):781-787. |
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| Authors: | MENG Rui-jun CUI Ji-feng CHEN Xiao-gang ZHANG Bao-le and ZHANG Hong-bo |
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| Institution: | College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China,College of Science, Inner Mongolia University of Technology, Hohhot 010051, China and College of Science, Inner Mongolia University of Technology, Hohhot 010051, China |
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| Abstract: | |
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| Keywords: | surface tension capillary-gravity waves Stokes wave theory third-order Stokes wave solutions |
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