This paper presents several methods of solutions recently developed based on velocity singularities for the analysis of steady and unsteady flows past fixed and oscillating aerofoils and wings. All these methods led to efficient theoretical solutions in closed form, which distinguishes them from the previous solutions, in comparison with which they were validated. The method for the unsteady flows past oscillating aerofoils permitted to obtain closed form solutions for both cases of rigid aerofoil oscillations and of flexural oscillations. The method for the wings of finite span permits to obtain efficient solutions for more general problems of practical interest, such as those involving spanwise variable incidence. The nonlinear solutions for flows past aerofoils of symmetrical thickness were found in very good agreement with the experimental results; to the author's best knowledge these are the first non-linear theoretical solutions obtained in closed form.
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