The potential flow across an infinite cascade of aerofoils is treated as both a direct and inverse problem. In each case, a perturbation expansion about a background uniform flow is claimed, with the size of the perturbation comparable to the aspect ratio of the aerofoils. This perturbation must decay far upstream while also satisfying specific edge conditions, such as the Kutta condition at each trailing edge. The flow field through a cascade of aerofoils of known geometry is calculated in the direct problem.
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