变截面圆形管道粘性流动的伽辽金-摄动杂交解  

Hybrid Perturbation-Galerkin Solution of the Flow in a Circular Cross-Section Tube With Constriction

作　　者：沈新荣[1] 高琪[1] 章本照[1] 张金锁[1] 

机构地区：[1]浙江大学力学系,杭州310027

出　　处：《应用数学和力学》2004年第2期197-205,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10272096)

摘　　要：　采用伽辽金＿摄动杂交法来研究壁面是正弦形状的变截面圆形管道的粘性流动,从而避免了摄动小参数的局限性和单纯伽辽金法基函数选取的任意性的困难·　讨论了边界和雷诺数对流动的影响,获得流动分离点和附着点的位置,还分析了壁面剪应力和摩擦系数沿轴向的变化情况·　在小参数的情况下。Using hybrid perturbatin_Galerkin technique,a crcular cross_section tube model with sinusoidal wall is studied.This technique can remove the limitation of small parameters for perturbation and the difficulty of selecting good coordinate functions about Galerkin technique.The effects caused by the boundary conditions and the Reynolds number on the flow were discussed.The position of the separate and reattachment points was obtained.The tendency of the variation about the shear stress on the wall and friction factor along the axis direction were also analyzed.The results at a small parameter have good agreements with the perturbation ones.

关 键 词：伽辽金-摄动杂交法 变截面圆形管道 血管流动 

分 类 号：O351[理学—流体力学]