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| 有流存在时N层流体界面波的二阶Stokes波解 | |
| 引用本文： | 包曙红,陈小刚,任慧. 有流存在时N层流体界面波的二阶Stokes波解[J]. 内蒙古工业大学学报, 2009, 0(1) |
| 作者姓名： | 包曙红 陈小刚 任慧 |
| 作者单位： | 内蒙古工业大学理学院 内蒙古工业大学管理学院 |
| 基金项目： | 内蒙古自然科学基金项目(批准号:200711020116);; 内蒙古工业大学科研计划重点项目(批准号:ZD200608)资助的课题 |
| 摘 要： | 以小振幅波理论为基础,利用摄动方法研究了有背景流场存在时密度呈N层成层状态下的界面内波,得到了各层流体速度势的二阶渐近解及界面内波波面位移的二阶Stokes波解.结果表明:有流存在下N层密度成层流体界面内波的一阶渐近解(线性波解)、频散关系及二阶渐近解不仅依赖于各层流体的厚度和密度,也依赖于各层流体的背景流场;界面内波波面位移的二阶Stokes波解不仅描述了界面波之间的二阶非线性相互作用,也描述了背景流与界面波之间的二阶非线性相互作用. |
| 关 键 词： | N层密度成层流体 界面内波 均匀流 二阶Stokes波解 |
Secend-order Stokes Wave Solutions for Intefacial Waves in N-layer StratifiedFluid with Background Current |
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| BAO Shu-hong,; CHEN Xiao-gang,; REN Hui. Secend-order Stokes Wave Solutions for Intefacial Waves in N-layer StratifiedFluid with Background Current[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 2009, 0(1) | |
| Authors: | BAO Shu-hong, CHEN Xiao-gang, REN Hui |
| Affiliation: | 1.College of Science; Inner Mongolia University of Technology; Hohhot 010051; China; 2.School of Management; China); |
| Abstract: | In this paper,interfacial internal waves in N-layer density-stratified fluid with background current were investigated by 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 internal waves were presented based on the small amplitude wave theory.As expected,in N-layer density-stratified fluid with background current,the first-order asymptotic solutions(linear wave solutions)... |
| Keywords: | N-layer density-stratified fluid interfacial internal wave uniform current second-order Stokes wave solutions |
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