Improved solutions to the Falkner-Skan boundary-layer equation

The results of a state variable approach to computationally solve the Falkner-Skan equation over a wide range of boundary-layer acceleration parameters are presented. The Falkner-Skan equation is concerned with flow past an infinite wedge with a particular vertex angle, and solutions are presented which are accurate to eight places for third order differential equations. Iterative procedures for improving the order of accuracy are described, and an example is provided for the case of an initial wedge angle of 0.40 x pi. The method is considered acceptable for the analysis of slightly accelerating and decelerating flows encountered in low drag and supercritical airfoils.