Abstract
A circular cylindrical tube is employed as the standard vessel model and blood flows through it are simulated respectively by using the Newtonian and four non-Newtonian constitutive models. Results including velocity profiles, flow rates and wall shear stress (WSS) are emphatically analyzed to show differences between the Newtonian and non-Newtonian models. When Re is low (Re1000, relative WSS variations of the Newtonian model to non-Newtonian models can decrease down below 20%, which concludes that Re>1000 can be regarded as a new criterion to determine whether the Newtonian assumption is suitable for the blood flow simulation. The Re criterion is more feasible in practice than the previous shear rate criterion (>100s-1), because the shear rate is always hard to know specifically before implementing the simulation.
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