叶轮机粘性流矢量方程在曲线坐标系中展开的新方法和数值计算

A NEW METHOD FOR EXTENDING VECTOR EQUATIONS OF VISCOUS FLOW IN TURBINE IN CURVILINEAR COORDINATES

本文讨论在非正交曲线坐标系中 ,粘性流矢量方程一种新的展开思路。应用这种展开方法可以得到项数减少很多的展开式 ,便于工程计算。文中同时给出了可压缩与不可压缩方程的展开式 ,给出了统一方程表达式。最后对二维不可压叶栅粘性流和三维可压叶栅粘性流进行了数值计算 。

A new idea is suggested to extend the viscous vector equations in non-orthogonal curvilinear coordinates.In the expansion equation obtained with the help of this new method,the number of terms is greatly decreased,so that it is easy to apply to engineering calculation.Meanwhile the expanded forms of compressible and incompressible equations are also presented and a generalized expression is given.Finally,by the aid of this new method,the numerical calculations have been carried out for 2-dimensional compressible viscous cascade flow and 3-dimensional compressible viscous cascade flow.It is shown that the new expansion equation is of great value to engineering practice.