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A Simple Approach to the Theory of Secondary Flows

Published online by Cambridge University Press:  07 June 2016

J. H. Preston
J. H. Preston*
Affiliation:
University Engineering Laboratory, Cambridge
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Summary

A simple method is developed for computing the trailing vorticity which arises when a non-uniform stream is turned.

It is shown that, for a sudden and constant deflection of a non-uniform stream, no net trailing vorticity is set up in the exit flow and hence there is no secondary motion.

In the case of an impulse cascade of finite dimensions with constant turning, it is found that the trailing vorticity has three distinct components—the passage vorticity and two components which appear as vortex sheets springing from the trailing edges of the aerofoils. It is shown that for small angles of deflection there is no net circulation associated with the trailing vorticity downstream, of the cascade, and it is inferred that this should still be so for large deflections.

Type
Research Article
Information
Aeronautical Quarterly , Volume 5 , Issue 4 , September 1954 , pp. 218 - 234
Copyright
Copyright © Royal Aeronautical Society. 1954

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References

1. Squire, H. B. and Winter, K. G. (1951). The Secondary Flow in a Cascade of Airfoils in a Non-uniform Stream. Journal of the Aeronautical Sciences, April 1951.Google Scholar
2. Hawthorne, W. R. (1951). Secondary Circulation in Fluid Flow. Proc. Roy. Soc. A, Vol. 206, 1951.Google Scholar
3. Hawthorne, W. R. (1953). The Secondary Flow About Struts and Aerofoils. A.R.C. 16,238, October 1953.Google Scholar
4. Lamb, H. (1932). Hydrodynamics, 6th edition. Cambridge University Press, 1932.Google Scholar
5. Hawthorne, W. R. (1954). Rotational Flow Through Cascades. A.R.C. 16,611, 1954. (To be published in the Quarterly Journal of Mechanics and Applied Mathematics.) Google Scholar