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本文讨论了用有限元法分析旋成面叶栅不可压缩流场的几个问题:(1)有势流动的条件是绝对旋涡为零,或者绝对涡面必与流面重合。压力和速度关系是p+1/2ρ(W~2-u~2)=Const;(2)选用旋成面上的ι和φ正交曲线坐标系以及把求解域取成通道形式都是理想的;(3)采用势函数表达的变分泛函对求解要方便些;(4)对八节点四边形等参数元素和自动生成有限元网格问题作出说明;(5)叙述了基本方程的有限元化;(6)给出进、出口边界和周期性边界上有关量的计算;(7)用有限元展开计算速度场,再由均能关系式计算压力场;(8)给出整个计算的粗框图,算例说明有限元网格尺寸对计算结果的影响以及叶栅通道中等速度线(等马赫线)的分布。
In this paper, the finite element method is used to analyze the incompressible flow field of spinous cascades. (1) The condition of the potential flow is that the absolute eddy is zero, or the absolute eddy must coincide with the flow surface. The pressure and velocity relationship is p + 1 / 2p (W ~ 2-u ~ 2) = Const; (2) It is ideal to use the orthogonal coordinate system of ι and φ on the spin plane and to take the solution domain as the channel ; (3) It is more convenient to use the variational function expressed by the potential function to solve the problem; (4) Explain the equatorial elements of the four-node quadrilateral and the finite element mesh generation automatically; (5) Describe the finiteness of the basic equations (6) Calculate the relevant quantities at the inlet and outlet boundaries and the periodic boundary; (7) Calculate the velocity field by using the finite element, and then calculate the pressure field by the energy-energy relation; (8) Give the whole calculation The example illustrates the influence of the finite element mesh size on the calculation results and the distribution of medium velocity lines (equi-Mach lines) in the cascade.