S_1流面叶栅附面层微分方程数值解(一)

FINITE DIFFERENCE METHOD FOR THE BOUNDARY LAYER CALCULATION OF THE CASCADE FLOW WITH S_1 STREAM SURFACE

本文从粘性气体的基本方程组出发,经过质量平均方法得到了紊流平均化方程,然后简化为S_1流面的附面层方程。本题目分两步进行,本文只考虑低速情况下的叶栅流动问题,在另一篇文章中我们再进一步考虑气体的压缩性,用本文的方法和程序计算了一些典型的算例,计算结果与试验结果的比较,证明本文的方法与程序是合理的。

On the base of aerothermodynamic equations of the viscous fluid flow expressed by the non-orthogonal coordinate system and its' components the boundary layer equations of S1 stream surface can be obtained by "Mass-Weighted-Averaging" and the boundary layer approximating procedures. The subject of this title is published by two parts. The first one is concerned with only the cascade problems of the low speed and the second one will consider the effects of the compressibility of the gases. Two forms of the stream function equation are discussed in present paper and their accuracies of the solutions are very closed. The sample calculations have shown that the effect of the stream surface thickness must be taken into account in the quasi-three-dimensional blade stream surface boundary layer calculations. The comparison of computation with experiments indicated that present method and computer program are reasonable and suitable for the use in practice.