CIESC Journal

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旋转椭圆截面螺旋管道内的二次流

章本照; 印建安; 苏霄燕; 张金锁   

  1. 浙江大学力学系
  • 出版日期:2002-10-25 发布日期:2002-10-25

SECONDARY FLOW IN ROTATING HELICAL ELLIPTICAL PIPE

ZHANG Benzhao;YIN Jianan;SU Xiaoyan;ZHANG Jinsuo   

  • Online:2002-10-25 Published:2002-10-25

摘要: 根据张量分析推导出旋转螺旋直角坐标下Dean问题的控制方程 ,以Dean数D为小参数采用摄动方法获得椭圆截面旋转螺旋管道内黏性流动的摄动解 ,结果表明该流动受 4个参数的影响 :D ,η,σ ,λ.并讨论了各个参数变化时截面二次流形态的复杂变化 .结果还表明一阶挠率项不影响圆截面旋转螺旋管道内的黏性流动.

Abstract: In this paper,the steady N-S equations in a rotating helical right angle coordinates are presented firstly.The flow in a rotating helical elliptical pipe is studied by using the method with which Dean studied the flow in a stationary curved circular pipe.The study indicates that the flow is affected by four parameters:Dean number D, parameter η, parameter σ and axial aspect ratio λ.The effects of different control parameters on flow behaviors are analyzed in detail.The results of this paper also indicate that the first order of torsion has no effect on the flow in the rotating helical circular pipe.