叶轮机械中三维跨声速流动的正,反混合问题

文中提出了跨声速叶轮机械中三维流动的一种正、反混合问题。首先，将作者于１９８３年的平面叶栅跨声速流动的正、反混合问题推广到三维流动情况，其中反问题的特点是既能计及叶片的气动性能，又能在一定程度上兼顾强度、冷却、工艺等方面的要求，蕨，由于应用了作用设计的一种适合叶轮机械中三维流动特点的广义ＶｏｎＭｉｓｅｓ坐标系，克服了反问题所特有的不定求解域边界的困难，并将三维正问题分析、叶片的完全三维设计以及三维

The Mixed Direct-Inverse Problem of the Three Dimensional Transonic Flow in the Turbomachinery

The present paper proposes a mixed direct-inverse pro- blem of the three-dimensional transonic flow in the turbomachinery. Introducing two stream functions,the mixed direct-inverse problem of the transonic flow in the plane cascade proposed in Ref.1] is extended to the case of 3-D flow. And fitting with the feature of 3-D flow in turbomachinery,a generalized von Mises coordinate system is proposed to overcome the difficulty of the undetermined solution regime boundaries inherent in the inverse problem. In this coordinate system,a rotating finite difference scheme for the streamline governing equations is con- structed to calculate the transonic flow field under strong disturbance. Besides,a new measure is put forward to deal with the double-value of velocity and density caused by applying the stream function coordi- nate method in solving the transonic flow. The present method incorporates calculating the flow field,designing and modifying the blade contour into a unified algorithm. And the supe- riority of the inverse problem formulation is that one can consider not only the aerodynamic properties of the turbomachinery blade,but also the demands on the strength,cooling and manufacturing etc. The numer- ical results of three typical examples show that the present mathemati- al model of the mixed direct-inverse problem of the three-dimensional flow in turbomachinery is reasonable,and the numerical solution method has the advantages of high accuracy and very rapid convergency.