Numerical solution of the blasius equation with Crocco-Wang transformation

Abstract

This paper presents a direct second-order finite-difference solution of the two-point boundary value problem derived from the classical third-order Blasius problem using the Crocco-Wang transformation. Noting the end-point singularity introduced by the Crocco-Wang transformation due to a zero boundary condition, the method provides special handling of this singularity to ensure second-order accuracy. Additionally, the method uses an extrapolation procedure to obtain results of increased accuracy. We compare our computed solution with an approximate analytical solution and numerical solutions previously reported and find that our results are in excellent agreement.