The wake source model for lifting separated flows

The wake source model of Parkinson and Jandali is extended to cover lifting separated flows past two dimensional13; bodies. As in the symmetrical drag case the flow separation13; points are the critical points of a conformal mapping from13; s complex plane in which sources In the wake create stagnation conditions at the critical points. Then the stagnation streamlines in the complex plane map to tangential separation streamlines in the physical plane, with separation occuring at the given base pressure. The latter is assumed constant and the flow inside the separation streamlines is ignored. The extension of the wake source model to the general lifting case involves the handling of two problems. First a mapping has to be found in which the separation points are the critical points of the transformation from the complex plane. This is achived here by finding the relevant mapping for a circular arc. With this sapping in hand any body that be mapped to a circle can not be handled. Second, in the lifting case13; circulation is present around the body. While this may be13; handled in a number of ways two models are considered in detail here, one incluiding circulation explicitly and one in which the circulation is generated by source alon