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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 685454, 8 pages
http://dx.doi.org/10.1155/2013/685454
Research Article

Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method

Department of Mechanical Engineering, Islamic Azad University, Najafabad Branch, Isfahan, Iran

Received 26 July 2013; Revised 26 September 2013; Accepted 22 October 2013

Academic Editor: Metin O. Kaya

Copyright © 2013 Sobhan Mosayebidorcheh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The boundary layer equation of the pseudoplastic fluid over a flat plate is considered. This equation is a boundary value problem (BVP) with the high nonlinearity and a boundary condition at infinity. To solve such problems, powerful numerical techniques are usually used. Here, through using differential transform method (DTM), the BVP is replaced by two initial value problems (IVP) and then multi-step differential transform method (MDTM) is applied to solve them. The differential equation and its boundary conditions are transformed to a set of algebraic equations, and the Taylor series of solution is calculated in every sub domain. In this solution, there is no need for restrictive assumptions or linearization. Finally, DTM results are compared with the numerical solution of the problem, and a good accuracy of the proposed method is observed.