Abstract
Propulsive force is considered of a twodimensional airfoil executing a non-steady out-ofplane motion from a standpoint of the theorem of momentum in the framework of the linear theory. By regarding the system of the airfoil and wake as a superposition of vortex pairs, it is shown that, for a harmonically oscillating airfoil, an appropriate form of the wake vortex sheet to give the correct propulsion is one that is determined under the influence of the upwash of the airfoil only. Concerning the time mean of the propulsion of the oscillating airfoil, this approach is shown to be equivalent to the method for calculating the drag force of a cylindrical body using the Karman vortex street.
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