从曲线直角坐标系中的N S方程出发 ,采用摄动方法求解了椭圆形截面螺旋管道内粘性流动。结果表明 :一阶挠率项仅影响椭圆形截面上的二次流动 ,并不影响截面上轴向速度 ;当轴向压力梯度较小时 ,二次流动主要受挠率的影响 ,随着轴向压力梯度的增加 ,曲率的作用越来越强 Starting from the N S equation in Cartesian coordinate system, the perturbation method is used to solve the viscous flow in spiral pipe with elliptical cross section. The results show that the first-order torsion term only affects the secondary flow in the oval cross-section and does not affect the axial velocity in the cross-section. When the axial pressure gradient is small, the secondary flow is mainly affected by the deflection, Pressure gradient increases, the role of curvature more and more strong