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Mathematical Problems in Engineering
Volume 2016, Article ID 4729063, 4 pages
http://dx.doi.org/10.1155/2016/4729063
Research Article

Estimation of the Shear Stress Parameter of a Power-Law Fluid

Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud Islamic University, P.O. Box 90950, Riyadh 11623, Saudi Arabia

Received 28 May 2016; Accepted 27 June 2016

Academic Editor: Mohamed Abd El Aziz

Copyright © 2016 Samer S. Al-Ashhab and Rubayyi T. Alqahtani. 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

We apply the Adomian decomposition method to a power-law problem for solutions that do not change the sign of curvature. In particular we consider solutions with positive curvature. The power series obtained via the Adomian decomposition method is used to estimate the shear stress parameter as well as the instant of time where the solution reaches its terminal point of a steady state. We compare our results with estimates obtained via numerical integrators. More importantly we illustrate that the error is predictable and can be reduced without further effort or using higher order terms in the approximating series.