首页 | 本学科首页   官方微博 | 高级检索  
     检索      

连续分层流体中垂直薄板的水动力特性
引用本文:尤云祥,徐杰,魏岗,卢东强.连续分层流体中垂直薄板的水动力特性[J].力学学报,2007,39(3):297-310.
作者姓名:尤云祥  徐杰  魏岗  卢东强
作者单位:上海交通大学船舶与海洋工程学院,200030 上海大学上海市应用数学和力学研究所 上海交通大学船舶海洋与建筑工程学院,200030 上海大学上海市应用数学和力学研究所
基金项目:国家自然科学基金,高等学校博士学科点专项科研项目
摘    要:研究了在线性连续分层流体中水波与半潜式刚性垂直薄板相互作用的问题. 在 Boussinesq近似下,基于分离变量法,导出了具有自由面的平面前进波的色散关系,建立 了半潜式刚性垂直薄板的反射与透射能量、水平波浪力的计算方法. 对给定的频率,当它大 于浮力频率时,流场中只有一种模态的平面前进波,当它小于浮力频率时,流场 中有无数多个模态的平面前进波,并证明了对每一种模态的入射波,其它每个模态水波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,以及作用在薄板上的水平波浪力 进行了数值计算分析,表明了流体的线性连续分层效应对这些水动力的影响是不可忽视 的. 特别地,在入射波频率小于浮力频率时,与第1模态入射波的能量转化量及其对薄板产 生的水平波浪力相比,其它模态入射波的能量转化量及其对薄板产生的水平波浪力都要大得 多.

关 键 词:连续分层流体  表面波模态  内波模态  刚性薄板  反射能量  透射能量
文章编号:0459-1879(2007)03-0297-14
收稿时间:2005-04-26
修稿时间:2007-02-13

HYDRODYNAMIC CHARACTERISTICS OF A VERTICAL THIN BARRIER IN A CONTINUOUSLY STRATIFIED FLUID
You Yunxiang,Xu Jie,Wei Gang,Lu Dongqiang.HYDRODYNAMIC CHARACTERISTICS OF A VERTICAL THIN BARRIER IN A CONTINUOUSLY STRATIFIED FLUID[J].chinese journal of theoretical and applied mechanics,2007,39(3):297-310.
Authors:You Yunxiang  Xu Jie  Wei Gang  Lu Dongqiang
Institution:1.School of Naval Architecture, Ocean 8z Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China;2.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract:This paper discusses the interaction of water waves with a vertical thin barrier in a continuously stratified fluid. Under the Boussinesq approximation, the dispersion relations are obtained for plane monochromatic waves in a continuously stratified fluid, and the theoretical solutions are obtained by the eigenfunction expansion for the reflection and transmission energies, as well as the exciting forces on the barrier due to incident waves. For a fixed frequency $\omega $, when $\omega >N$ ($N$ being the buoyancy frequency), there is only a monochromatic wave pattern with one mode. When $\omega < N$, there are monochromatic wave patterns with infinite modes, and it is shown that for the incident wave of each mode, the energies of the reflection and transmission waves of any other mode are equal. The reflection and transmission energies, as well as the exciting forces on the barrier due to incident waves are computed for two types of structures: a surface-piercing barrier and a bottom-touched one, respectively. The results indicate that the density stratification can have a significant effect on the hydrodynamic characteristics of the barrier over a wide range of frequencies. In particular, when $\omega < N$, the transferred energies and the exciting forces on the barrier due to incident waves of the first mode are much less than those due to incident waves of other modes.
Keywords:continuously stratified fluid  surface-wave mode  internal-wave mode  rigid thin barrier  reflection energy  transmission energy
本文献已被 CNKI 维普 万方数据 等数据库收录!
点击此处可从《力学学报》浏览原始摘要信息
点击此处可从《力学学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号