By William Frederick Durand
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Additional resources for Aerodynamic Theory: A General Review of Progress Under a Grant of the Guggenheim Fund for the Promotion of Aeronautics
9) by subtracting an angle y' = x/3 from the tangent at the point ~ = O. For a cross-section having an angle of incidence oc, the tangent forms the angle (oc y) and the auxiliary chord lies at the angle, . 18) with the direction of the wind. Here y is the true angle between the tangent and chord, but on account of the uncertainty of the position of the chord it does not belong to the magnitudes which characterize the cross-section. It must therefore not be used for calculating the magnitude x which does characterize the airfoil, but only for readjusting the angle of incidence.
Retical lift, can be reduced to the same cause, viz. deviations from the potential flow, it is to be assumed that a numerical relation connects the two. It is possible to obtain a qualitative idea of the nature of this connecting relation from the following theoretical considerations. The deviations from the pure potential flow which produce both the drag and the diminution of the lift are due chiefly to the fact that the layers of air streaming past the wing lose a part of their energy through retardation by surface friction.
It is easy to see that this simple result cannot hold for all cases. Considerations of symmetry show that for a symmetrical airfoil for example, 6. 2) in which 0 L is always positive. , Die wichtigsten Ergebnisse der Tragfliigeltheorie und ihre Priifung. Vortrage aus dem Gebiete der Hydro-Aerodynamik (Innsbruck 1922). Published by Th. von Kanlltln and T. Levi-Civita. Berlin: Julius Springer 1924. , Venninderung des Auftriebes von Tragfliigel durch den Widerstand. Zeitschr. f. Flugtechnik u. , 1932.