叶轮机械计算中动静叶排间的非定常效应

Consideration of unsteady interactionsbetween blading rows in steadyturbomachinery flow calculations

为了在数值分析中正确反映叶轮机械内部动静叶排流场之间的相互干涉，本文解决了两个关键问题。首先，推导了二维、无粘、可压缩、多级流场的通道平均方程并对其中的确定应力项进行了模化。其次，在Ｇｉｌｅｓ理论的基础上，提出一种与时间推时法相匹配的，适用于多级流场计算的无反射边界条件，并从物理本质上解释了它的含义；发展了一种用时间推进法求解多级流场的连续界面方法。采用无反射边界条件比较了连续界面法和混合平面法两种级间参数传递模型的实际效果，因为考虑了动静叶间的干扰，连续界面法的计算结果更接近实际值。

Two critical problems are addressed in order to correctly consider the interactions of the adjacent blading rows in turbomachinery. First, an inviscid, compressible, twodimensional multistage averagepassage equation system is derived. Second, based on Giles theory, nonreflecting boundary conditions adapted to the time marching method for multistage flow field calculations are presented and interpreted physically. A new time marching procedure as “continuous interface plane approach” is developed to solve the multistage flow field. The practical effects of this approach are demonstrated upon comparison with the traditional “mixing plane approach” similarly using nonreflecting boundary conditions. The results show improved prediction capability of this continuous interface plane approach, in which the interactions of the blading rows have been considered.