A method for the prediction of induced drag for planar and nonplanar wings

A new method for the prediction of induced drag of planar and nonplanar wings is presented. This method is based on the application of the Kutta-Joukowski law at the trailing edge. Until recently, the use of the Kutta-Joukowski law for this purpose has not been fully explored and pressure integration and Trefftz-plane calculations favored. It is shown, however, that this method is able to give better results for a given amount of effort than the more commonly used techniques, particularly when relaxed wakes and nonplanar wing geometries are considered. When the induced drag prediction procedure is coupled with a panel method, it results in a methodology that is fast enough and sufficiently accurate to be useful for design purposes. It is demonstrated that reductions in induced drag can be achieved, particularly through the use of nonplanar wing geometries. To obtain overall drag reductions, the induced drag reduction must be traded-off against increased profile drag due to increased wetted area. With the design methodology that is described herein, such trade studies can be performed in which the non-linear effects of the free wake are taken into account.