YAO Zheng, LIU Gao-lian. Aerodynamic Design Method of Cascade Profiles Based on Load and Blade Thickness Distribution[J]. Applied Mathematics and Mechanics, 2003, 24(8): 785-790.
 Citation: YAO Zheng, LIU Gao-lian. Aerodynamic Design Method of Cascade Profiles Based on Load and Blade Thickness Distribution[J]. Applied Mathematics and Mechanics, 2003, 24(8): 785-790.

• Rev Recd Date: 2003-05-02
• Publish Date: 2003-08-15
• Acascade profile design method was proposed using the aerodynamic load and blade thickness distribution as the design constraints,which were correspondent to the demands from the aerodynamic characteristics and the blade strength.These constraints,together with all the other boundary conditions,were involved in the stationary conditions of a variational principle,in which the anglefunction was employed as the unknown function.The angle-function(i.e.the circumferential angular coordinate) was defined in the image plane composed of the stream function coordinate(circumferential direction) and streamline coordinate.The solution domain,i.e.,the blade-to-blade passage,was transformed into a square in the image plane,while the blade contour was projected to a straight line;thus,the difficulty of the unknown blade geometry was avoided.The finite element method was employed to establish the calculation code.Applications show that this method can satisfy the design requests on the blade profile from both aerodynamic and strength respects.In addition,quite different from the most inverse-problem approaches that often encounter difficulties in the convergence of iteration,the present method shows a stable and fast convergence tendency.This will be significant for engineering applications.
•  [1] LIU Gao-lian.Variational principles and generalized variational principles for hybrid aerodynamic problem of airfoil cascades on an arbitrary stream sheet of revolution(Ⅰ)[J].Scientia Sinica,1980,23(10):1339-1347. [2] 刘高联.任意旋成面叶栅杂交型气动命题的变分原理与广义变分原理(Ⅱ)[J].工程热物理学报,1981,2(4):24-33. [3] 刘高联,姚征.任意旋成面叶栅杂交型气动命题的变分原理与广义变分原理(Ⅲ)[J].工程热物理学报,1986,7(4):329-331. [4] LIU Gao-lian.A united theory of hybrid problems for fully 3-D incompressible rotor-flow based on variational principles with variable domain[J].ASME J Engineering for GT & Power,1986,108(2):254-258. [5] 刘高联.矩函数及其在旋成面叶栅气动反命题及杂交命题中的应用[J].工程热物理学报,1982,3(2):138-144. [6] 姚征,陈月林.叶轮机械任意旋成面叶栅气动杂交命题矩函数型变分有限元解法[J].空气动力学学报,1989,7(3):313-322. [7] Horlock J K.Axial Flow Compressor[M].London:Butterworth Scientific Publications,1958.

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