Abstract
A new method of treating the two-dimensional steady flow of a viscous fluid past an arbitrary cylindrical body is presented. On the basis of the Oseen approximation, a set of integral equations is derived for the values of the vorticity and its normal derivative on the surface of the cylinder. Once these values are found, the velocity in the flow field as well as the drag, lift and moment acting on the cylinder can be calculated. The method is applied to the calculation of the drag of a circular and an elliptic cylinder. An analytical expression in a power series of the Reynolds number is obtained for the drag of a circular cylinder, which agrees completely with the known result. The numerical results are also in satisfactory agreement with those by other authors.
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