A Three-Dimensional Numerical Method for Turbomachinery Blading

1992 ◽  
Author(s):  
C. W. Gu ◽  
J. Z. Xu ◽  
J. Y. Du
Keyword(s):  
Boundary Conditions ◽  
Numerical Method ◽  
Stream Function ◽  
Three Dimensional ◽  
Computational Results ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Stream Functions ◽  
Derivatives Of ◽  
Convergent Solution

By inversing one of the stream functions and their principal equations in a three–dimensional flow the equations with the second–order partial derivatives of both the coordinate and another stream function are derived. The corresponding boundary conditions are easily specified. Based on these equations and the boundary conditions the convergent solution for turbomachinery blading is obtained. The computational results show that the method is simple and effective.

Three-dimensional flow of Powell–Eyring nanofluid with heat and mass flux boundary conditions

2016 ◽  
Vol 25 (7) ◽  
pp. 074701 ◽  
Author(s):  
Tasawar Hayat ◽  
Ikram Ullah ◽  
Taseer Muhammad ◽  
Ahmed Alsaedi ◽  
Sabir Ali Shehzad
Keyword(s):  
Boundary Conditions ◽  
Mass Flux ◽  
Three Dimensional ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Flux Boundary Conditions

Two and Three-Dimensional Flow using Finite Elements

1969 ◽  
Vol 73 (707) ◽  
pp. 961-964 ◽  
Author(s):  
J. H. Argyris ◽  
G. Mareczek ◽  
D. W. Scharpf
Keyword(s):  
Finite Elements ◽  
Boundary Conditions ◽  
Stream Function ◽  
Three Dimensional ◽  
Finite Domain ◽  
Flow Problems ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Triangular Elements ◽  
Compressibility Effects

The method of finite elements is in certain cases advantageous when dealing with flow problems in a finite domain. This is particularly so when attempting to include subcritical compressibility effects. In the present note we first consider the two-dimensional flow using TRIC and TRIM-like triangular elements in conjunction with the concept of the stream function, which is assigned to the nodal points of the elements. The application of the stream function allows a direct and exact satisfaction of the boundary conditions. Strictly the elements in question could also be used in conjunction with the potential function but the observance of the boundary conditions is then cumbersome.

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