风扇/压气机数值稳定性模型

本文给出了一种用于预测轴流压气机旋转失速发生的数值稳定性模型,并描述了模型的理论基础以及求解模型方程的方法。模型的建立基于线性稳定性理论的基础之上,通过特征值的虚部来判断系统的稳定性。一种全局性方法被用于求解离散系统的所有特征值。离散的方法包括二阶精度的有限差分方法以及切比雪夫谱配置的方法。计算结果表明,用这两种方法均可以得到准确的特征值,但是收敛的速度有所不同。另外,将文中的分析与实验进行了比较,结果表明实验中的失速点可以用这种模型进行合理的预测。

A NUMERICAL STABILITY MODEL OF ROTATING STALL IN AXIAL FAN/COMPRESSORS

This paper presents a numerical stability model for the prediction of stall inception in axial flow compressors. This model is based on a linear stability theory which can be developed to judge whether the stall inception happens or not by estimating the eigenvalues. In the present analysis, two numerical methods, including a finite-difference method and a Chebyshev spectral collocation method, are used to discretize the stability equations. The relative results show that the two methods can all be applied to obtain the accurate eigenvalues in a different convergent speed. Besides, the comparison between the present analysis and the experiment is also presented, which indicates that stall inception point from the experiment can be predicted with this model in a reasonable accuracy.