Eur. Phys. J. Appl. Phys. 55, 21102 (2011)
https://doi.org/10.1051/epjap/2011110026

Similarity and Boubaker Polynomials Expansion Scheme BPES comparative solutions to the heat transfer equation for incompressible non-Newtonian fluids: case of laminar boundary energy equation

¹ Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P.R. China
² School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P.R. China
³ Équipe de Physique des dispositifs à Semiconducteurs, Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia
⁴ Department of Mathematics, Faculty of Science and Letters, Pamukkale University, Denizli 20020, Turkey
⁵ Institut Supérieur des Études Technologiques de Radès (High Institute of Technological Studies of Rades), Rades Médina 2098, Tunisia
⁶ Ege University, Department of Mathematics, 35100 Bornova, İzmir, Turkey

^a e-mail: boubaker_karem@yahoo.com

Received: 20 January 2011
Revised: 23 January 2011
Accepted: 4 April 2011
Published online: 11 August 2011

Abstract

In this paper, a new model is proposed for the heat transfer characteristics of power law non- Newtonian fluids. The effects of power law viscosity on temperature field were taken into account by assuming that the temperature field is similar to the velocity field with modified Fourier’s law of heat conduction for power law fluid media. The solutions obtained by using Boubaker Polynomials Expansion Scheme (BPES) technique are compared with those of the recent related similarity method in the literature with good agreement to verify the protocol exactness.