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A complete second-order theory for the unsteady flow about an airfoil due to a periodic gust

Published online by Cambridge University Press:  29 March 2006

M. E. Goldstein  and
H. Atassi
M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135
H. Atassi
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Indiana 46556
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Abstract

In this paper we develop a uniformly valid, second-order theory for calculating the unsteady incompressible flow that occurs when an airfoil is subjected to a convected sinusoidal gust. Explicit formulae for the airfoil response functions (i.e. fluctuating lift) are given. The theory accounts for the effect of the distortion of the gust by the steady-state potential flow around the airfoil, and this effect is found to have an important influence on the response functions. A number of results relevant to the general theory of the scattering of vorticity waves by solid objects are also presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 4 , 22 April 1976 , pp. 741 - 765
Copyright
© 1976 Cambridge University Press

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