Abstract
A general two-dimensional fluid mechanics representation analysis is introduced for the determination of the velocity field around a NACA airfoil in an unsteady flow. The problem is reduced to the solution of a non-linear multidimensional singular integral equation, when the form of the source and the vortex strength distribution is dependent on the history of the vorticity and source distribution on the NACA airfoil surface. An application is finally given to the determination of the velocity field around the blades of the special structure of a vertical axis wind turbine, by assuming constant source distribution.
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