Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T17:28:27.069Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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