Numerical solution of the blasius equation with Crocco-Wang transformation

Document Type

Article

Publication Date

1-1-2016

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.

Publication Title

Journal of Applied Fluid Mechanics

Volume

9

Issue

5

First Page

2595

Last Page

2603

Digital Object Identifier (DOI)

10.18869/acadpub.jafm.68.236.25583

ISSN

17353572

E-ISSN

17353645

Link to Full Text

Share

COinS