Generalized approximation methods for the calculation of incompressible laminar boundary layers, part 1

Two-dimensional incompressible laminar boundary layer flows are calculated using generalized approximation methods. The methods calculate the variable velocity profile coefficients of laminar incompressible boundary layers using a system of differential equations, the von Karman momentum equation, and/or the Wieghardt energy equation, together with boundary conditions at the wall. The generalized methods remove the discontinuity in the profile coefficients and substantially improve the boundary layer calculations. The methods are applied to obtain similarity solutions of two-dimensional boundary layer flows; they do not seem to be applicable in the transition domain between accelerated and decelerated flow. The computer program which calculates the similarity boundary layer profiles is given.