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The effects of trailing vorticity on the flow through highly loaded cascades

Published online by Cambridge University Press:  29 March 2006

James E. Mccune  and
William R. Hawthorne
James E. Mccune
Affiliation:
Gas Turbine Laboratory, Massachusetts Institute of Technology, Cambridge
William R. Hawthorne
Affiliation:
Engineering Department, University of Cambridge
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Abstract

This paper presents a procedure whereby three-dimensional inviscid flow through a highly loaded turbomachinery cascade of lifting lines can be treated by methods corresponding to classical aerodynamic theory. In contrast to earlier linearized (thin airfoil) three-dimensional theory, the present study allows analysis of the flow corresponding to the large turning and/or large pressure ratios induced by practical rotors or stators. For the sake of simplicity, the present paper is limited to incompressible flow through a highly loaded rectilinear cascade and to the design problem, i.e. given blade loading. Formulae are derived for both the mean and the three-dimensional components of the flow; in particular, the velocities at the blades induced by the trailing vorticity associated with nonuniform blade circulation are determined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 4 , 22 April 1976 , pp. 721 - 740
Copyright
© 1976 Cambridge University Press

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