摘要
利用拓扑结构分析方法 ,分析了弯曲圆管内定常流在横截面上流线的奇点个数及分布规律 ,给出了二次流的漩涡数目由 2个变为 4个 ,流态结构发生分叉现象的理论判据· 进而 ,利用Galerkin方法 ,得到了弯曲圆管内定常流的流函数和轴向速度的半解析表达式 ,给出了流态结构发生分叉现象的临界Dean数 。
The number and distribution of the singular points of streamlines in the cross section of steady flow through a curved tube are discussed by using the method of topological structure analysis. And a theoretical criterion is obtained for the bifurcation of flow vortexes for the secondary flow turning from two_vortex structure into four_vortex structure. Furthermore, the critical Dean number for bifurcation and the semi_analytical expressions of stream function and axial velocity are given by using Galerkin technique. The result of calculation is consistent with the theoretical criterion.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第12期1215-1226,共12页
Applied Mathematics and Mechanics
基金
国家教育部博士点基金资助项目
高等学校骨干教师资助计划项目。
