RESEARCH PAPERS: Papers From Symposium on Three-Dimensional Flow in Turbomachines

A Finite-Element Method for Through Flow Calculations in Turbomachines

[+] Author and Article Information
Ch. Hirsch

Department of Fluid Mechanics, Vrije Universiteit Brussel, Brussels, Belgium

G. Warzee

Stress Analysis Department, Universite Libre de Bruxelles, Brussels, Belgium

J. Fluids Eng 98(3), 403-414 (Sep 01, 1976) (12 pages) doi:10.1115/1.3448341 History: Received January 05, 1976; Online October 12, 2010


A new method for the numerical solution of the meridional through-flow equations in an axial flow machine is presented based on the finite-element method. A rigorous derivation of the pitch-averaged flow equations is presented and the assumption of axisymmetric flow leads, with the introduction of a stream function, to the equation to be solved. A description is given of the finite-element technique which is applied in this problem. The method of solution allows the calculation of transonic stages. Numerical results are compared with experimental data and show very satisfactory agreement. This method appears, therefore, to compare very favorably with the other methods used up to now. Although the present results pertain to axial flow machines, the method is easily applicable to radial flow machines as well and the way of solution for this case is indicated.

Copyright © 1976 by ASME
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