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

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. © EDP Sciences, 2011.