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By Hermann T. Schlichting, Erich A. Truckenbrodt (transl. by Heinrich J. Ramm)

ISBN-10: 0070553416

ISBN-13: 9780070553415

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Example text

The reason lies not so much in the fact that the plane flow has only two, instead of three, local coordinates as that it can be treated by means of analytical functions. This is a mathematical discipline, developed in great detail, in which the two local coordinates (x, y) of two-dimensional flow can be combined to a complex argument. A plane, frictionless, and incompressible flow can, therefore, be represented as an analytical function of the complex argument z = x + iy : F (z) = F (x + i y) = 0 (x, y) + i'(x, y) (2-16) where 0 and q, the potential and stream functions, are real functions of x and y.

In the case of an airfoil of infinite span, which has been discussed so far, the free vortices are too far apart to play a role for the flow conditions at a cross section of a two-dimensional wing. Therefore only the bound vortices need to be considered. - --er-o a b Figure 2-7 Development of circulation during set- ting in motion of a wing. (a) Wing in stagnant fluid. (b) Wing shortly after beginning of motion; for the liquid line chosen in (a), the circulation 0; because of flow around the trailing edge, a vortex forms at this station.

2-16, pressure distributions on a symmetric Joukowsky profile of 15% thickness ratio are presented for various lift coefficients. At an angle of attack a = 0 (CL = 0), the pressure minimum occurs at approximately 15% chord behind the nose. When the angle of attack increases, the minimum moves forward on the suction side and farther back on the pressure side. Cambered Joukowsky profiles The Joukowsky profile with a mean camber line shaped like a circular arc is obtained by mapping an excentrically located circle with its center at zo = x0 + iyo (see Fig.

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Aerodynamics of the Airplane by Hermann T. Schlichting, Erich A. Truckenbrodt (transl. by Heinrich J. Ramm)


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