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Generalisation of Watson’s Formulae and Applications to Aerofoil Theory

Published online by Cambridge University Press:  07 June 2016

J Stern
J Stern*
Affiliation:
Aeronautical Research and Test Institute, Prague
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Summary

This paper presents a contribution to Watson’s formulae and gives analogous formulae for the higher derivatives of the functions ψm and ϵm of classical aerofoil theory. In Appendix A these formulae are related to Thwaites’s method of solving Theodorsen’s non-linear integral equation. The resultant equations are also given in matrix form, which enables the calculations to be mechanised by using automatic computers.

Type
Research Article
Information
Aeronautical Quarterly , Volume 24 , Issue 4 , November 1973 , pp. 261 - 272
Copyright
Copyright © Royal Aeronautical Society. 1973

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References

1 Theodorsen, T Theory of wing sections of arbitrary shape. NACA Report 411, 1931.Google Scholar
2 Theodorsen, T Garrick, I E General potential theory of arbitrary wing sections. NACA Report 452, 1933.Google Scholar
3 Howell, A R A theory of arbitrary aerofoils in cascade. Philosophical Magazine, Series 7, Vol XXXIX, p 913, December 1948.Google Scholar
4 Thwaites, B On the numerical calculation of Theodorsen’s transformation. ARC Current Paper 691, 1964.Google Scholar
5 Thwaites, B The aerodynamic theory of sails. 1, Two-dimensional sails. Proc Roy Soc, Vol 261, 1961.Google Scholar
6 Watson, E J Formulae for the computation of functions employed for calculating the velocity distribution about a given aerofoil. ARC R & M 2176, 1945.Google Scholar