I. Introduction
In fluid mechanics, Newtonian fluids represent the majority of fluids composed of simple molecules, although a vast number of fluids, including biological fluids, that have a more complex flow behavior [1]. Non-Newtonian fluids, despite their importance in biological applications and biomedical engineering [2], [3], does not follow the linear relation between the viscous stress and rate of change of a Newtonian fluid, which is quite restrictive because of it viscosity that does not follow the relation between viscous stress and rate of change. Thus, the nonlinear behavior of non-Newtonian fluids create more modeling complexity and numerical difficulties that lead to high computational cost.