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The Flow of a Perfect Fluid through Cascades of Aerofoils

Published online by Cambridge University Press:  28 July 2016

A. R. Collar
A. R. Collar*
Affiliation:
Aerodynamics Department, N.P.L.
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Summary

The paper contains a generalisation of the conformal transformation by means of which a circle is converted into Joukowski aerofoils. The transformation is applied to a cascade of oval bodies which is the corresponding generalisation of the isolated circle; and it converts the oval bodies into a wide variety of cascades of curved shapes, which are generalisations of the isolated Joukowski aerofoils. In one particular case, the transformation yields a grid of flat laminae. Since the perfect fluid flow through such a grid is known (it appears to have been first given by Joukowski) the perfect fluid flow past the ovals, in any direction, and with equal but otherwise arbitrary circulation round each, is obtained. Accordingly, the perfect fluid flow through any of the derived cascades can be obtained.

Type
Research Article
Information
The Aeronautical Journal , Volume 45 , Issue 365 , May 1941 , pp. 183 - 213
Copyright
Copyright © Royal Aeronautical Society 1941

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References

List of References

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