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The addition of quasi‐three‐dimensional terms into a finite element method for transonic turbomachinery blade‐to‐blade flows
Author(s) -
Cedar R. D.,
Stow P.
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650050202
Subject(s) - transonic , turbomachinery , blade element momentum theory , blade (archaeology) , blade element theory , finite element method , mechanics , mathematics , rotation (mathematics) , mach number , geometry , turbine blade , physics , aerodynamics , turbine , structural engineering , engineering , mechanical engineering
This paper describes the extension of a purely two‐dimensional finite element method for the calculation of transonic turbomachinery blade‐to‐blade flows to include the quasi‐three‐dimensional terms. These terms account for the effect of variations in streamline radius, stream‐tube height and blade rotation. By approximating the stream surface as a piecewise linear function, then using a local developed cone transformation on an element basis, the finite element equations are shown to remain of the same form as the two‐dimensional equations. The numerical results presented demonstrate that the stream‐tube height, streamline radius and blade rotation terms must be included if the prediction of the Mach number distribution around a gas turbine blade is to be calculated correctly.