| Effect of compressive stress on the dispersion relation of the flexural–gravity waves in a two-layer fluid with a uniform current |
| |
| 引用本文： | 卢东强.Effect of compressive stress on the dispersion relation of the flexural–gravity waves in a two-layer fluid with a uniform current[J].水动力学研究与进展(英文版),2014,26(2):339-341. |
| |
| 作者姓名： | 卢东强 |
| |
| 基金项目： | Project supported by the National Basic Research Program of China （973 Program, Grant No. 2014CB046203）, the National Natural Science Foundation of China under （Grant No. 11072140）, the Shanghai Program for Innovative Research Team in Universities. |
| |
| 摘 要： | The explicitly analytical solution is derived for the dispersion relation of the flexural–gravity waves in a two-layer fluid with a uniform current. The upper fluid is covered by a thin plate with the presence of the elastic, compressive and inertial forces. The density of each of the two immiscible layers is constant. The fluids of finite depth are assumed to be inviscid and incompressible and the motion be irrotational. A linear system is established within the framework of potential theory. A new representation for the dispersion relation of flexural–gravity waves in a two-layer fluid is derived. The critical value for the compressive force is analytically determined. The dispersion relation for the capillary–gravity with an inertial surface in a two-layer fluid can be obtained in parallel. Some known dispersion relations can be recovered from the present solution.
|
| 关 键 词： | 色散关系 两层流体 重力波 弯曲 电流 均匀 压应力 不可压缩 |
| 收稿时间： | 17 March 2014 |
Effect of compressive stress on the dispersion relation of the flexural-gravity waves in a two-layer fluid with a uniform current |
| |
| LU Dong-qiang.Effect of compressive stress on the dispersion relation of the flexural-gravity waves in a two-layer fluid with a uniform current[J].Journal of Hydrodynamics,2014,26(2):339-341. |
| |
| Authors: | LU Dong-qiang |
| |
| Affiliation: | [1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China [2]Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China [3]Computational Marine Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA |
| |
| Abstract: | The explicitly analytical solution is derived for the dispersion relation of the flexural-gravity waves in a two-layer fluid with a uniform current. The upper fluid is covered by a thin plate with the presence of the elastic, compressive and inertial forces. The density of each of the two immiscible layers is constant. The fluids of finite depth are assumed to be inviscid and incompressible and the motion be irrotational. A linear system is established within the framework of potential theory. A new representation for the dispersion relation of flexural-gravity waves in a two-layer fluid is derived. The critical value for the compressive force is analytically determined. The dispersion relation for the capillary-gravity with an inertial surface in a two-layer fluid can be obtained in parallel. Some known dispersion relations can be recovered from the present solution. |
| |
| Keywords: | Hydroelasticity compressive force current two-layer fluid |
| 本文献已被 CNKI 维普 ScienceDirect 等数据库收录！ |
