Title

Numerical Solution of the Blasius Equation with Crocco-Wang Transformation.

Authors

Asaithambi, A.

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 transforma- tion. 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 ac- curacy. We compare our computed solution with an approximate analytical solution and numerical solutions previously reported and find that our results are in excellent agreement.

Subjects

BLASIUS equation; FINITE differences; BOUNDARY value problems; MATHEMATICAL singularities; EXTRAPOLATION

Publication

Journal of Applied Fluid Mechanics, 2016, Vol 9, Issue 5, p2595

ISSN

1735-3572

Publication type

Academic Journal