Table of Contents
ISRN Thermodynamics
Volume 2012 (2012), Article ID 181286, 6 pages
http://dx.doi.org/10.5402/2012/181286
Research Article

Effects of Viscous Dissipation on the Thermal Boundary Layer of Pseudoplastic Power-Law Non-Newtonian Fluids Using Discretization Method and the Boubaker Polynomials Expansion Scheme

1ESSTT, Université de Tunis, 63 Rue Sidi Jabeur, 5100 Mahdia, Tunisia
2Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China
3Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
4School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Received 6 January 2012; Accepted 31 January 2012

Academic Editors: S. Hashimoto and G. Polidori

Copyright © 2012 Karem Boubaker et al. 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

Heat transfer of pseudoplastic power-law non-Newtonian fluids aligned with a semi-infinite plate is studied. Unlike in most classical works, the effects of viscous dissipation which is coupled with the temperature-dependent thermal diffusivity are considered in the energy equation. The discretization method is used to convert the governing partial differential equations into a set of nonlinear ordinary differential equations. The solutions are presented numerically by using the shooting technique coupled with the Newtonian method and the Boubaker polynomials expansion scheme. The effects of power-law index and the Zheng number on the dynamics are analyzed. The associated heat-transfer characteristics are also tabulated in some domains of the said parameters.