计算旋转螺旋面三维边界层的一种积分方法

An Integral Method for the 3-D Boundary Layers on Rotating Helical Blades

本文将计算二维层流边界层的Thwaites方法和计算二维湍流边界层的Truckenbrodt方法推广,用以求解旋转系统的“准三维”边界层方程,得到了计算旋转螺旋面上三维边界层的一种可迭代求解的积分方法.应用此方法进行了两例计算.计算结果与理论精确解或实验测量的对比表明,本文方法是有效的.

The boundary layer on a rotating helical blade is a typical three-dimensional one. By using the so-called 'quasi-3-D' boundary layer equations, the Thwaites's method for 2-D laminar boundary layer and the Truckenbrodt's method for 2-D turbulent boundary layer are extended to incorporate the 3-D effects so that an iterative solution for the boundary layer development on a rotating helical blade is found. This method has been applied in rotating disk and a helical blade of large chord length. Comparison with the exact analytical solution and the measurements made by Lakshminarayana and others respectively shows that it can be used in the calculation of the boundary layer on blades of a ship propeller.