The Steady Laminar Incompressible Boundary Layer Problem as an Integral Equation in Crocco Variables: Investigations of the Similarity Flows

摘要

The steady flow incompressible laminar boundary layer problem is posed as an integral equation in Crocco variables in the most general case. Numerical investigations are then made of the 'similarity' flows. A transformation is utilised which weakens the singularity at the outer edge of the boundary layer and thereby gives improved numerical results over those obtained from the untransformed equation. An extensive numerical comparison is made with Polhausen's exact analytical solution. Results are also presented in graphical form illustrating the approach of the boundary layer characteristics to their asymptotic values for strong suction for a very wide range of similarity flows. These are in complete agreement with the results obtained by other investigators, and form an extension to the cases previously considered. (Author)