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On the limiting values for infinite pitch of a parameter occurring in airscrew theory

Published online by Cambridge University Press:  24 October 2008

S. Goldstein
S. Goldstein
Affiliation:
National Physical LaboratoryTeddington, Middlesex
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Extract

In an improved method of strip-theory calculation of the performance of an airscrew a factor K occurs in the formula

which, for an airscrew with N blades, connects the total interference velocity w1 and the circulation Γ at radius r. In this formula ø is the inclination to the plane of rotation of the airscrew of the velocity of the air relative to the airscrew blade; for infinite pitch ø=½π For large but finite pitch the calculation of K is difficult; in computing tables of K it is therefore useful to have the values for infinite pitch, which can be calculated by a much simpler theory than that needed for the general case†.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 2 , June 1944 , pp. 146 - 150
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

* Lock, C. N. H. and Yeatman, D., Tables for Use in an Improved Method of Airscrew Strip Theory Calculation, R. & M. 1674 (1934).Google Scholar

† For the theory of the calculation of K in the general case, see Goldstein, , Proc. Roy. Soc. A, 123 (1929), 440–65.CrossRefGoogle Scholar

‡ Proc. Cambridge Phil. Soc. 32 (1936), 676–84.Google Scholar

* Cf. Whittaker, and Watson, , Modern Analysis (Cambridge, 1920), chap. xiv, p. 293. This work will be referred to as M. A.Google Scholar

† M.A. p. 281.

* M.A. p. 291.