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- W644125645 abstract "T USE OF the acceleration potential in thin airfoil theory was introduced by L. Prandtl.'' The method has since been applied by several authors' to problems of stationary and non-stationary flow in both compressible and incompressible fluids. A striking feature of this method is that no use has to be made of vortex wakes because the acceleration potential is everywhere continuous in the fluid. Such concepts as the trailing vortices and the induced downwash play no direct part in this theory. The purpose of the present article is the treatment of two dimensional airfoil theory in an incompressible fluid by the combined use of conformal transformation and the acceleration potential. This method of approach greatly simplifies the solution of certain airfoil problems. First the reader is introduced to the fundamental properties of the acceleration potential in an incompressible fluid. Then it is shown how the problem of finding the acceleration potential can be solved by conformal representation of the airfoil on a circle and a simple relation is derived between the velocity and the stream corresponding to this potential. The method is next applied to the stationary airfoil with and without flap, and to the determination of the airfoil camber line and thickness function for a given pressure distribution along the chord. The simplicity of the method is especially apparent for the case of the oscillating airfoil which is the subject of the last treatment. For the sake of brevity only translatory oscillations are considered." @default.
- W644125645 created "2016-06-24" @default.
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- W644125645 date "1942-03-01" @default.
- W644125645 modified "2023-09-24" @default.
- W644125645 title "Some Simplified Methods in Airfoil Theory" @default.
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- W644125645 doi "https://doi.org/10.2514/8.10848" @default.
- W644125645 hasPublicationYear "1942" @default.
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