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本文是在文献〔1〕的基础上提出了离心式压气机任意旋成面正命题S_1流面的有限元解法。用八节点等参元对文献〔2〕中相应的变分原理Ⅱ进行有限元展开,采用了选代法求解非线性方程,得出S_1流面流场中各点的速度势、速度、密度和压力值。本文结合具体叶轮造型,编制了考虑叶面有喷吸情况,能自动划分网格的有限元试算程序,进行了无分流叶片和有分流叶片的试算。计算实践表明:程序编制的基本思想是正确的,在此基础上进一步完善,可得到具有一定通用性的离心式压气机正命题S_1流面有限元解程序。
In this paper, based on the literature [1], the finite element method for the S_1 flow surface of the positive rotation of a centrifugal compressor is proposed. The corresponding variational principle II in [2] is expanded by finite element method using the eight-node isoparametric element. The nonlinear equations are solved by using the alternative method. The velocity potential, velocity and density of each point in the flow field of S_1 flow surface are obtained. And the pressure value. Based on the specific impeller modeling, a finite element program was developed to consider the situation of spraying on the foliage and to divide the grid automatically. The trial calculation of splitless and splitter blades was carried out. The calculation practice shows that the basic idea of programming is correct, and on this basis, it can be further perfected to obtain the general program of centrifugal compressor positive proposition S_1 flow surface finite element method.