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The Sears problem for a lifting airfoil revisited - new results

Published online by Cambridge University Press:  20 April 2006

H. M. Atassi
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556

Abstract

It is shown that for a thin airfoil with small camber and small angle of attack moving in a periodic gust pattern, the unsteady lift caused by the gust can be constructed by linear superposition to the Sears lift of three independent components accounting separately for the effects of airfoil thickness, airfoil camber and non-zero angle of attack to the mean flow. This is true in spite of the nonlinear dependence of the unsteady flow on the mean potential flow of the airfoil. Specific lift formulas are derived and analysed to assess the importance of mean flow angle of attack and airfoil camber on the gust response.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Goldstein, M. E. & Atassi, H. 1976 J. Fluid Mech. 74, 741.
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Küssner, H. G. 1936 Luftfahrtforsch. 13, 410.
Naumann, H. & Yeh, H. 1972 ASME Paper 72-GT-30.
Sears, W. R. 1941 J. Aero. Sci. 8, 104.
Theodorsen, T. 1935 NACA Tech. Rep. 496.