【摘要】：在海洋、湖泊等水體中,密度成層現(xiàn)象非常普遍,真實海洋中密度成層現(xiàn)象尤其復(fù)雜,有時明顯呈多層成層狀態(tài).發(fā)生在密度穩(wěn)定分層流體界面處的界面內(nèi)波在這些流體系統(tǒng)并不少見.為了正確描述海洋內(nèi)部的運動規(guī)律,開展多層密度成層流體界面內(nèi)波的研究非常必要.它的研究不僅對界面內(nèi)波本身的很多現(xiàn)象有重要意義,而且還對人們了解界面內(nèi)波在海洋內(nèi)部混合和環(huán)境氣候變化中的作用以及界面內(nèi)波在海洋工程和海洋軍事上的應(yīng)用等方面具有指導(dǎo)意義.本文基于波陡很小的假設(shè),考慮均勻剪切流場中不可壓縮和無粘性的三層密度分層流體系統(tǒng).采用類似于Nwogu的方法,討論剪切流存在時三層密度分層流體系統(tǒng)中的強非線性界面內(nèi)波,以任意水深處的水平速度分量為速度變量,給出了界面內(nèi)波的Boussinesq方程,揭示了波流之間的非線性相互作用.主要內(nèi)容如下:緒論,簡要概述了剪切流中界面內(nèi)波的研究意義和背景,目前的研究現(xiàn)狀和本文的主要研究內(nèi)容.第一章,給出剪切流中三層密度分層流體界面內(nèi)波的基本方程以及邊界條件,并且利用Choi的方法對其進行無量綱化.第二章,分別對三層流體所滿足的無量綱化方程進行深度積分,采用Nwogu的方法得到剪切流中強非線性界面內(nèi)波所滿足的Boussinesq方程.第三章,總結(jié)本文的研究結(jié)果,并提出進一步的研究工作展望.
[Abstract]:The phenomenon of density stratification is very common in the ocean, lake and other water bodies, but the phenomenon of density stratification in the real ocean is especially complicated, and sometimes it appears to be multilayered. Interfacial waves occurring at the interface of density-stable stratified fluids are not uncommon in these fluid systems. In order to describe the law of ocean motion correctly, it is necessary to study the interfacial wave of multi-layer density stratified fluid. Its research is not only of great significance to many phenomena of interfacial internal waves, It is also helpful to understand the role of interfacial internal waves in ocean internal mixing and environmental climate change, as well as the application of interfacial internal waves in ocean engineering and marine military affairs. Based on the assumption that the wave steepness is very small, the incompressible and viscidity stratified fluid system with incompressible and non-viscous density in the uniform shear flow field is considered in this paper. By using a method similar to Nwogu, the strongly nonlinear interfacial internal waves in a three-layer density stratified fluid system in the presence of shear flow are discussed. The Boussinesq equation of the interfacial internal wave is given with the horizontal velocity component of any depth of water as the velocity variable. The nonlinear interaction between waves and currents is revealed. The main contents are as follows: introduction, the research significance and background of interfacial internal waves in shear flow, the current research situation and the main research contents of this paper are briefly summarized. In the first chapter, the basic equations and boundary conditions of interfacial internal waves of three layer density stratified fluid in shear flow are given, and they are dimensionless by using Choi's method. In the second chapter, the dimensionless equations satisfied by three-layer fluid are integrated in depth, and the Boussinesq equation of strongly nonlinear interfacial internal waves in shear flow is obtained by using Nwogu's method. The third chapter summarizes the research results of this paper and puts forward the prospect of further research.
【學(xué)位授予單位】：內(nèi)蒙古工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O175;O357

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