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The Flow of an Incompressible Fluid through an Axial Turbo-Machine with any Number of Rows

Published online by Cambridge University Press:  07 June 2016

J. W. Railly
J. W. Railly*
Affiliation:
Department of Mechanical Engineering, The University, Birmingham
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Summary

A method is described whereby, at any point in an infinite parallel annulus, the approximate axial velocity due to a single row of high aspect ratio blades may be calculated from a knowledge of the conditions of flow adjacent to the blades. The method is based on the assumption of a simplified expression for the radial velocity, being the product of an unknown function of the radius and an exponential term independent of the radius containing an undetermined constant; the function and the undetermined constant are calculated by reference to the conditions of flow in the plane of the row considered. The flow due to any number of rows is then obtained by summing the radial velocity fields due to each row and obtaining the axial velocities by integration of the equation of continuity.

The solution of the problem with infinitely many rows is shown to have a simple form by virtue of the fact that the flow (provided that the velocities remain finite) settles down to a pattern which is periodic by one stage pitch.

Type
Research Article
Information
Aeronautical Quarterly , Volume 3 , Issue 2 , September 1951 , pp. 133 - 144
Copyright
Copyright © Royal Aeronautical Society. 1951

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References

1. Traupel, W. (1942). Neue allgemeine Theorie der mehrstufigen axialen Turbomaschinen. Leeman & Co., Zurich, 1942.Google Scholar
2. Marble, F. E. (1948). The Flow of a Perfect Fluid through an Axial Turbo-machine with Prescribed Blade Loading. Journal of the Aeronautical Sciences, August 1948. Vol. 15, pp. 473–485.CrossRefGoogle Scholar
3. Howell, A. R. (1942). R.A.E. Report (unpublished), 1942.Google Scholar