The addition of quasi‐three‐dimensional terms into a finite element method for transonic turbomachinery blade‐to‐blade flows

1 February 1985

journal article
research article
Published by Wiley in International Journal for Numerical Methods in Fluids

Vol. 5 (2) , 101-114
https://doi.org/10.1002/fld.1650050202

Abstract

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.

Keywords

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Supercritical Wing Sections II
Published by Springer Nature ,1975