Three-dimensional flow calculation by the method of characteristics.

AIAA Journal ◽  
1967 ◽  
Vol 5 (10) ◽  
pp. 1906-1908 ◽  
Author(s):  
JOHN V. RAKICH
Author(s):  
J. D. Denton

The extension of a well established three dimensional flow calculation method to calculate the flow through multiple turbomachinery blade rows is described in this paper. To avoid calculating the unsteady flow, which is inherent in any machine containing both rotating and stationary blade rows, a mixing process is modelled at a calculating station between adjacent blade rows. The effects of this mixing on the flow within the blade rows may be minimised by using extrapolated boundary conditions at the mixing plane.


1980 ◽  
Vol 102 (3) ◽  
pp. 338-343
Author(s):  
C. F. Grainger

The three-dimensional flow through a cascade of twisted flat-plate blades is calculated using a computer program based on a finite-difference approximation to the method of characteristics. The relative flow is supersonic but the axial flow is subsonic. For two-dimensional flow under similar conditions, the inlet flow field is one of “unique-incidence,” the effect discussed by Starken (5) and others. The main purpose of the present work is to extend the understanding of this effect to three-dimensional flow. Important differences between the two and three-dimensional flow fields are explained in terms of the interaction between neighboring sections of the flow.


2002 ◽  
Vol 72 (9) ◽  
pp. 783-788 ◽  
Author(s):  
S. Scharf ◽  
E. Cleve ◽  
E. Bach ◽  
E. Schollmeyer ◽  
P. Naderwitz

1996 ◽  
Vol 39 ◽  
pp. 37-37
Author(s):  
Robin Shandas ◽  
Eugene Little ◽  
Jeffrey Kwon ◽  
Ole Knudson ◽  
Lilliam Valdes-Cruz

Author(s):  
Shigeki Senoo ◽  
Yoshio Shikano

In order to get the details of flow fields in steam turbines, three-dimensional turbulent flow calculations are useful. However in a design procedure, three-dimensional flow calculations are only possible in the last design stage, because they need in-depth boundary conditions of both geometries and flows. At such a late time in the procedure, it is difficult to go back and change main design parameters, such as flow area and stage load. Both three-dimensional flow patterns and non-equilibrium condensation caused by rapid expansions of steam have important roles with respect to steam turbine performance particularly in low-pressure sections. The steam turbine internal efficiency can be improved by taking account of these effects in the early design stage, especially in flow pattern design. This paper describes a multi-stage through-flow calculation technique including both three-dimensional flow efffects and phase changes from vapour to small droplets. To compute the high-speed two phase steam flow, a flux-splitting procedure including non-equilibrium homogeneously condensation is introduced. Three-dimensional blade forces are calculated by using angles of both blade camber and radial lean. The blade camber lines can be decided without in-depth blade geometries. Therefore this computational technique is applicable in the flow pattern design. The calculation results agree well with fully three-dimensional flow calculation and the calculation can predict supersaturating states and Wilson lines which are defined as the maximum supercooling.


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