两层流体中水波在垂直薄板上的反射与透射  

REFLECTION AND TRANSMISSION OF WATER WAVES PAST A VERTICAL THIN BARRIER IN A TWO-LAYER FLUID

作　　者：尤云祥[1] 缪国平 程建生[1] 朱仁传[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200030

出　　处：《力学学报》2005年第5期529-541,共13页Chinese Journal of Theoretical and Applied Mechanics

基　　金：教育部跨世纪优秀人才培养计划基金优秀国家重点实验室研究项目(50323004)国家自然科学基金项目(10172059)高等学校全国优秀博士学位论文基金资助项目.~~

摘　　要：研究在两层流体中表面波模态和内波模态的波浪与半潜式刚性垂直薄板相互作用的问题.基于特征函数展开理论,建立了两种模态入射波作用下,半潜式刚性垂直薄板的反射与透射能量的计算方法,证明了对每一种模态的入射波,另一种模态波浪的反射与透射能量是相等的.对水面漂浮和座底半潜式薄板的反射与透射能量,以及作用在其上的水平波浪力进行了数值计算分析,表明在某个频率范围内,流体的分层效应对这些水动力量的影响是不可忽视的.特别地,当薄板的一端位于两层流体的内界面上时,两种模态波浪的能量转化是最大的.The interaction of water waves for both surface- and internal-wave modes with a rigid vertical thin barrier in a two-layer fluid was examined. The theoretical solutions were obtained by an eigenfunction expansion method for the reflected and transmitted energies for waves of both modes. It is shown that for the incident wave of each mode, the energies of the reflected and transmitted waves of the other mode are equal. The reflected and transmitted energies, as well as the hydrodynamic force on the barrier due to incident waves of both surface- and internal-wave modes were computed for two types of structures which are a bottom-touched barrier and a surface-piercing barrier respectively. The results indicate that density stratification can have a relative large effect on the reflection, transmission and hydrodynamic characteristics of the barrier over a wide range of frequencies. In particular, when an end of the barrier is located on the interface of the two-layer fluid, such an effect is very strong.

关 键 词：两层流体 表面波 内波 刚性薄板 反射 透射 

分 类 号：O353.2[理学—流体力学]