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Collected Works of H. S. Tsien (1938-1956) by Tsien H S

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Symmetrical Joukowsky Airfoils in Shear Flow

Hsue-shen Tsien

(California Institute of Technology)

1. Problem

The usual two-dimensional theory of airfoils assumes a uniform velocity for points far from the airfoil. There are many applications where this condition is not satisfied. For example near the ground there is a large vertical velocity gradient, and therefore a first approximation to the problem can be obtained by assuming a linear velocity distribution. This has, in fact, been done by H. v. Sanden[1] in connection with O. Lilienthal’s experiments in natural wind. However, v. Sanden used a numerical method of integrating the differential equation and carried out the calculation only for a wedge-shaped body. Th. von Kármán* suggested to ...

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