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An approximate solution for two-dimensional transonic flow past thin airfoils

Published online by Cambridge University Press:  24 October 2008

T. Evans
T. Evans
Affiliation:
University College London
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Abstract

The transonic, two-dimensional flow past a thin airfoil is treated by approximating the transonic small perturbation equation by a linear equation valid in the neighbourhood of the airfoil. The solution is derived by representing the body by a line of suitable sources. Pressure distributions are given for airfoils with maximum thickness both forward and aft, and agreement with experiment improves as the position of maximum thickness moves aft.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 573 - 593
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Byrd, P. F. and Friedman, M. D.Handbook of elliptic integrals for engineers and physicists (Springer; Berlin, 1954).Google Scholar
(2)Carrol, J. B. and Anderson, G. F.J. Aero. Sci. 23 (1956), 604–605.Google Scholar
(3)Cole, J. D. and Royce, W. W. In Proc. Sixth Midwest. Conf. Fluid Mech. (Austin, Texas, 1959).Google Scholar
(4)Guderley, K. G.Theory of transonic flow (translation; Pergamon, London, 1962).Google Scholar
(5)Guderley, K. G. and Yoshihara, H.Quart. Appl. Math. 8 (1951), 333–339.Google Scholar
(6)Hosokawa, I.J. Phys. Soc. Japan, 15 (1960), 149–157.Google Scholar
(7)Maeder, P. F. and Thommen, H. U.J. Aero. Sci. 23 (1956), 187–188.Google Scholar
(8)Maeder, P. F. and Thommen, H. U.Trans. ASME Ser. E. J. Appl. Mech. 83 (1961), 481–490.Google Scholar
(9)Michel, R., Marchaud, F. and Le Gallo, J.O.N.E.R.A. Publ. 65 (1953), 72 (1954).Google Scholar
(10)Miles, J. W.J. Aero. Sci. 23 (1956), 704–705.Google Scholar
(11)Oswatitsch, K. (editor). Symposium transsonicum Aachen 1962 (Springer; Berlin, 1964).Google Scholar
(12)Oswatitsch, K. and Keune, F.Proc. Conf. High Speed Aeronautics (Polytechnic Institute; Brooklyn, 1955).Google Scholar
(13)Spreiter, J. R. and Alksne, A. Y.NACA Rep. 1359 (1958).Google Scholar
(14)Spreiter, J. R. and Alksne, A. Y.NASA TR R-2 (1959).Google Scholar
(15)Spreiter, J. R. and Alksne, A. Y.NASA TR R-88 (1961).Google Scholar
(16)Whittaker, E. T. and Watson, G. N.Modern analysis (Cambridge, 1920).Google Scholar