Effect of heat generation/absorption on heat transfer for a non-Newtonian fluid

In this study, the combined effects of natural and forced convection heat transfer for a power law nonNewtonian fluid around a cylinder or sphere embedded in a porous media with the presence of heat generation or absorption is investigated. The governing equations were solved using the Keller box methods, and the solutions are obtained for the non-similarity parameter ζ which represents the strength of the mixed convection, where ζ = O corresponds to the pure forced convection and ζ → corresponds to pure natural convection. The effects of the characteristic parameters on the velocity, temperature, local heat transfer rate were found and presented in figures for the mixed convection regime. It was found that the increasing of the viscosity power law index decreases the dimensionless velocity of the fluid as well as the local heat transfer rate in the boundary layer and increases the dimensionless temperatures in the same area. It is also found that the increasing of the heat generation parameter decreases the heat transfer rate, while the increasing of the heat absorption parameter enhances the heat transfer rate.