The flows of non-Newtonian fluids are important in chemical engineering, lubrication and tribology, polymer devolatisation, bubble columns etc. Analysis of the magnetohydrodynamic (MHD) effect on the flows of such fluids has shown an increasing amount of attention in recent times. Such interest stems because of the occurrence of these liquids in industrial processes. The constitutive relationships between the stress and rate of strain quite complicated for non-Newtonian fluids. Consequently, the mathematical analysis for the flows of such fluids involves equations with more nonlinear...