Inner‐outer matching solution of Blasius equation by DTM

Abstract

Purpose

To study the flow of a two‐dimensional, steady, incompressible and constant property fluid over a semi‐infinite flat plate represented by the well‐known Blasius equation.

Design/methodology/approach

Differential transform method was used to solve this equation. The solution is based on matching of the inner and outer solutions.

Findings

It is observed that the inner solution diverges at η≅5.5 and the outer solution developed for η≥5.5 should be matched with the inner one.

Originality/value

It is the first time, for the best of the authors' knowledge, the missing boundary condition f″(0), related to surface friction, is obtained in a closed form. Also, the matching technique implemented in this study can be used for this type of physical length sensitive problems.

Citation

Arikoglu, A. and Ozkol, I. (2005), "Inner‐outer matching solution of Blasius equation by DTM", Aircraft Engineering and Aerospace Technology, Vol. 77 No. 4, pp. 298-301. https://doi.org/10.1108/00022660510606367