细长体截面绕流中的一种临界状态  

A Critical Pattern of Crossflow Around a Slender

作　　者：李国辉[1] 邓学蓥[1] 

机构地区：[1]北京航空航天大学流体力学研究所,北京100083

出　　处：《应用数学和力学》2005年第1期25-31,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10172017);航空基础科学基金资助项目(02A51048)

摘　　要：　应用拓扑分析的方法研究了细长体截面绕流拓扑结构的演变过程·　指出随着细长体背涡的发展,导致截面流场的拓扑结构发生变化,会出现一种临界流动状态·　在这种临界流态下,流场中会出现一种高阶奇点·　这种高阶奇点的指数为-3/2·　这种高阶奇点是结构不稳定的,稍有扰动就会产生分叉。Topological structure of a slender crossflow was discussed with topological analysis. It is pointed that the development of slender vortices leads to the change of topological structure about cross flow, and a critical flow pattern will appear. There is a high-order singular point in this critical flow pattern. And the index of the high-order singular is -3/2. The topological structure of this singular point is instable, so bifurcation will occur and the topological structure of flowfield will be changed by little disturbance.

关 键 词：细长体 高阶奇点 分叉 结构稳定性 

分 类 号：V211.1[航空宇航科学与技术—航空宇航推进理论与工程]