叶轮机械三维边界层微分方程及求解

PARTIAL DIFFERENTIAL EQUATIONS OF 3D BOUNDARY LAYER AND THEIR NUMERICAL SOLUTIONS IN TURBOMACHINERY

本文讨论叶轮机械三维边界层方程的推导、求解方法及应用。(1)推导出了考虑旋转效应与曲率影响的叶轮机械三维非定常边界层方程组的一般形式,其特点之一是法向压力梯度不为零。(2)讨论了边界层方程组的求解方法,以及起始条件与边界条件的确定方法。(3)对叶轮机械三种类型的三维边界层进行了数值计算,获得了与实验数据基本一致的结果。(4)比较了考虑与忽略旋转引起的法向压力梯度对计算结果的影响。

This paper studies the 3D boundary layer equations (3DBLE) and their numerical solutions in Turbomachinery. (1) The general form of 3DBLE in turbomachines with rotational and curvature effects are derived under the 'semi-orthogonal' coordinate system, in which the normal pressure gradient is not equal to zero, (2). The method of solution of the 3DBLE is discussed. (3) The 3D boundary layers on the rotating blade surface, IGV endwall, rotor end-wall (with a relatively moving boundary) are numerically solved, and the predicted data correlates well with the measured data. (4) The comparison is made between the numerical results of 3DBLE with and without normal pressure gradient.