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圆截面曲线管道内二次流动的Galerkin解
引用本文:薛雷,章本照.圆截面曲线管道内二次流动的Galerkin解[J].空气动力学学报,1998,16(3):318-324.
作者姓名:薛雷  章本照
作者单位:浙江大学
摘    要:本文推导了曲线直角坐标系内的N-S方程。结果表明Galerkin方法可以克服摄动法的小参数局限,得到了纯数值法无法求得的增 解析解。

关 键 词:曲线管道  二次流动  Galerkin方法  N-S方程

Galerkin Solutions of Laminar Flow in Helical Circular Pipes
Xue,Lei,Zhang,Benzhao.Galerkin Solutions of Laminar Flow in Helical Circular Pipes[J].Acta Aerodynamica Sinica,1998,16(3):318-324.
Authors:Xue  Lei  Zhang  Benzhao
Abstract:The Navier Stokes equations in the curvilinear coordinate system are established in tensorial form.The fully developed laminar flow in helical circular pipes under the influence of both curvature and torsion is analyzed.The solutions are obtained by the Galerkin weighted residual method which are realized by using computerized symbolic manipulation technique.The results indicate that the Galerkin method can effectively overcome the limitation of small parameters for perturbation method.Based on the Galerkin semi analytical solutions obtained,the characteristics of the secondary flow in pipes are discussed.
Keywords:curved    pipe  secondary  flow  Galerkin  technique  computerized  symbolic  manipulation
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