A Quasi-Three-Dimensional Finite Element Solution for Steady Compressible Flow Through Turbomachines

[+] Author and Article Information
A. S. Ücer, İ. Yeġen, T. Durmaz

Mechanical Engineering Department, Middle East Technical University, Ankara, Turkey

J. Eng. Power 105(3), 536-542 (Jul 01, 1983) (7 pages) doi:10.1115/1.3227449 History: Received December 22, 1981; Online September 28, 2009


A quasi-three-dimensional solution method is presented for subsonic flows through turbomachines of arbitrary geometry. Principal equations are based on Wu’s formulation of flow on blade-to-blade and hub-to-shroud surfaces, modified such that the same hub-to-shroud principal equation is used for all types of stream surfaces. Blade-to-blade surfaces are assumed to be surfaces of revolution. A stream function is used as the field variable. The problem is solved by finite element method. An iterative solution is used to find the quasi-three-dimensional solution. Solutions at hub, tip, and midheight blade-to-blade surfaces are used to construct a mean hub-to-shroud surface and vice versa, until convergence is obtained. Results indicate that the developed technique is satisfactory for predicting the flow through turbomachine blades.

Copyright © 1983 by ASME
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