Improved solutions to the FalknerSkan boundarylayer equation
Abstract
The results of a state variable approach to computationally solve the FalknerSkan equation over a wide range of boundarylayer acceleration parameters are presented. The FalknerSkan 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.
 Publication:

AIAA Journal
 Pub Date:
 September 1982
 DOI:
 10.2514/3.7976
 Bibcode:
 1982AIAAJ..20.1306F
 Keywords:

 Boundary Layer Flow;
 Computational Fluid Dynamics;
 FalknerSkan Equation;
 Supercritical Wings;
 Wedge Flow;
 Aerodynamic Drag;
 Differential Equations;
 Iterative Solution;
 Fluid Mechanics and Heat Transfer