A Method for Aerodynamic Design of Blades in Quasi-Three-Dimensional Calculation of Turbomachines

1988 ◽  
Vol 110 (2) ◽  
pp. 181-186 ◽  
Author(s):  
Zhengming Wang
Keyword(s):  
Inverse Problem ◽  
Turbine Blade ◽  
Series Expansion ◽  
Thickness Distribution ◽  
Three Dimensional ◽  
Expansion Method ◽  
Aerodynamic Design ◽  
Blade Profile ◽  
The Mean ◽  
Series Expansion Method

A special inverse problem is formulated in which the shape of the mean streamline and the circumferential thickness distribution of the profile are given. On the basis of the series expansion method on a selected streamline, in quasi-three-dimensional aerodynamic design, the blade profile thickness is automatically fulfilled by computer. Six radial sections of a turbine blade are designed by this method.

scholarly journals A Method of Aerodynamic Design of Blades in Quasi-Three-Dimensional Calculation of Turbomachine

1986 ◽  
Author(s):  
Wang Zhengming
Keyword(s):  
Inverse Problem ◽  
Turbine Blade ◽  
Series Expansion ◽  
Thickness Distribution ◽  
Three Dimensional ◽  
Expansion Method ◽  
Stream Line ◽  
Aerodynamic Design ◽  
Series Expansion Method

On the basis of the series expansion method on a selected stream line, the problem, in which the profile thickness is automatically adjusted by computer in aerodynamic design of blades for quasi-three-dimensional calculation, is solved. A special inverse problem is formulated in which the shape of mean stream line and the circumferential thickness distribution of profile are given. Six radial sections of a turbine blade are designed by this method.

scholarly journals Examination of the Iterative Series-Expansion Method for Quantitative Texture Analysis

1995 ◽  
Vol 23 (2) ◽  
pp. 115-129 ◽  
Author(s):  
D. Raabe
Keyword(s):  
Series Expansion ◽  
Linear Equations ◽  
Three Dimensional ◽  
Expansion Method ◽  
Orientation Space ◽  
First Case ◽  
Pole Figures ◽  
Polycrystalline Aggregates ◽  
Analytical Tools ◽  
Series Expansion Method

Three-dimensional orientation distributions of grains in polycrystalline aggregates are referred to as crystallographic textures. Commonly, they are computed from two-dimensional centro-symmetric pole figures by employment of series expansion techniques or so called direct inversion methods. Both approaches lead to inaccuracies which are due to the absence of the odd coefficients and by truncation errors in the first case and to the under-determination of the set of linear equations combining cells in the pole figures and in the three-dimensional orientation space in the second case. For both types of calculation methods various correction procedures were suggested. In case of the series expansion methods the introduction of the non-negativity condition was reported to considerably improve the obtained solution. However, before large series of experimental data can be processed by such a method, its reliability has to be checked by use of analytical tools. Hence, in the present study a recently introduced iterative series-expansion method which accounts for the non-negativity condition is examined by use of standard functions.

scholarly journals An Improved Method for Aerodynamic Design of Centrifugal Impeller Blades

1991 ◽  
Author(s):  
Zhengming Wang ◽  
Bangxian Wu ◽  
Wu Zhang
Keyword(s):  
Inverse Problem ◽  
Series Expansion ◽  
Separation Bubble ◽  
Three Dimensional ◽  
Design Procedure ◽  
Expansion Method ◽  
Centrifugal Impeller ◽  
Improved Method ◽  
Direct And Inverse Problems ◽  
Stream Surface

Based on the “General Theory of Three-Dimensional Flow in Turbomachines”, an improved method for designing centrifugal impeller blades has been developed. The design procedure is performed with the help of the combination of an S2 inverse problem code, a code for generating a profile on a revolution surface by a two-step series expansion and the codes of S1 direct and inverse problems. After the calculation of the inverse problem on the S2 stream surface is completed, a special series expansion method is used for obtaining a preliminary blade profile, then the relative flow field is predicted by the S1 direct code and is improved by the S1 inverse code. The method is favourable for smoothing the velocity distribution on the blade surface, eliminating the separation bubble and raising the efficiency of the impeller. The present method has been successfuly applied to improving the design of a centrifugal impeller.

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