| The thesis presents the analysis, based on velocity singularities, of the upswept finite span wings of various planforms and distributions of incidence.; The method of velocity singularities has been first introduced by Mateescu for the analysis of the flow past airfoils, based on the singular behaviour of the fluid velocity near the leading edge and ridges.; In this work, the method of velocity singularities is extended to determine the solution of the flow in the Trefftz plane normal to the uniform stream.; Velocity singularities are used to obtain directly the complex expression of the perturbation velocity in the cross-flow coordinates. The spanwise variation of the circulation is obtained by integrating the real part of the complex conjugate velocity in the Trefftz plane, and then is related to the local intensity of the circulation on the wing.; Two methods of solutions were developed, one applicable only for wings with symmetrical distribution of incidence, and a more general one applicable for both symmetrical and non-symmetrical distribution of incidence.; Both methods have been validated by comparison with Carafoli's solutions for symmetrical wings. Then the more general method has been used to obtain solutions for various wings with non-symmetrical distribution of incidence, such as the case of wings with anti-symmetrically deflected ailerons.; The method was proven to be more efficient and accurate than the comparable methods that are currently employed. |
