Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T06:42:44.161Z Has data issue: false hasContentIssue false
  • English
  • Français

Lifting Surface Theory for the Problem of an Arbitrarily Yawed Sinusoidal Gust Incident on a Thin Aerofoil in Incompressible Flow

Published online by Cambridge University Press:  07 June 2016

J. M. R. Graham
J. M. R. Graham*
Affiliation:
Cambridge University Engineering Department
Get access

Summary

The solution to the problem of the loading generated on a two-dimensional thin aerofoil by an incompressible flow whose normal velocity component is of the general form exp [i(λx+/μy — ωt)] is calculated. The method used extends the two-dimensional integral equation solution for the induced vorticity by means of a Chebyshev expansion of part of the kernel function. Thin aerofoil approximations are made throughout, but no collocation procedure, as such, is required.

Type
Research Article
Information
Aeronautical Quarterly , Volume 21 , Issue 2 , May 1970 , pp. 182 - 198
Copyright
Copyright © Royal Aeronautical Society. 1970

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. Sears, W. R. Some aspects of non-stationary airfoil theory and its practical application. Journal of the Aeronautical Sciences, Vol. 8, No. 3 p. 104, 1941.Google Scholar
2. Murrow, H. N., Pratt, K. G., Drischler, J. A. An application of a numerical technique to lifting-surface theory for calculation of unsteady aerodynamic forces due to continuous sinusoidal gusts on several wing planforms at subsonic speeds. NASA TN D-1501, 1963.Google Scholar
3. Söhngen, H. Die Lösungen der Integralgleichung und deren Anwendung in der Trag-flügeltheorie. Mathematische Zeitschrift, Band 45 p.245, 1939.CrossRefGoogle Scholar
4. Abramowrrz, M. and Stegun, I. A. Handbook of Mathematical Functions, p. 376. Dover, New York, 1965.Google Scholar
5. Goodwin, E. T. (Editor). Modern computing methods, p. 76. National Physical Laboratory, HMSO, 1961.Google Scholar
6. Muskhelishvili, N. I. Singular integral equations. Translated from the Russian by Radok, J. R. M.. Noordhoff, Holland, 1953.Google Scholar