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Some applications of conformal transformation to airscrew theory

Published online by Cambridge University Press:  24 October 2008

F. L. Westwater
Affiliation:
Emmanuel College

Abstract

Recent reports contain tables of a parameter K required in calculating the performance of an airscrew by a new method.

The method of calculating K (due to Goldstein) is unsuitable for large values of the pitch especially near the tip of the airscrew.

In the case of infinite pitch we fall back, for a two-bladed airscrew, on the problem of a rotating lamina in two dimensions.

The solution for a cross lamina (corresponding to a four-bladed propeller) is given below and the tables of K for four blades are completed.

A formula for the limit of K/Kp at the airscrew tip is given for a propeller with any number of blades, where Kp is an approximate value of K due to Prandtl.

K for any number of blades is given in the form of an infinite series. The case of three blades is discussed in detail.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1936

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References

* Goldstein, S., “On the vortex theory of screw propellers”, Proc. Roy. Soc. A, 123 (1929), 440CrossRefGoogle Scholar; Lock, C. N. H. and Yeatman, D., “Tables for use in an improved method of airscrew strip theory calculations”, Reports and Memoranda of the Aeronautical Research Committee, No. 1674 (October 1934)Google Scholar.