Some of Semi Analytical Methods for Blasius Problem

Seval Catal

doi:10.4236/am.2012.37106

Abstract

In this paper, the Adomian methods, differential transform methods, and Taylor series methods are applied to non-linear differential equations which is called Blasius problem in fluid mechanics. The solutions of the Blasius problem for two cases are obtained by using these methods and their results are shown in table.

Highlights

On the fluid mechanics of non-parallel flows are called Blasius flows which is an important problem is interested in recently by authors [1,2,3,4,5,6,7,8,9,10]
The solutions of the Blasius problem for two cases are obtained by using these methods and their results are shown in table
This non-linear third order ordinary differential equation on a half-infinite interval is solved by using perturbation method [11], transformation of independent variable and finite difference method [12], homotopy analysis method [13,14,15,16], Adomian’s method [16,17,18], differential transform method [19,20]

Summary

Introduction

On the fluid mechanics of non-parallel flows are called Blasius flows which is an important problem is interested in recently by authors [1,2,3,4,5,6,7,8,9,10]. The Adomian methods, differential transform methods, and Taylor series methods are applied to non-linear differential equations which is called Blasius problem in fluid mechanics. The solutions of the Blasius problem for two cases are obtained by using these methods and their results are shown in table. For inner-outer case 4 5.5 0 m ; boundary conditions are;

Results

Conclusion