Models For Non - Newtonian Blood Flow Through An Elastic Artery

Abstract

Hydrodynamics of the arterial system, arterial wall elasticity are important factors for study of natural velocity of the blood (Mc Donald, 1974). Here we study effect of non-Newtonian nature of blood through an Elastic artery by considering power-law model and Herschel-Bulkley model. The elasticity of arterial wall on longitudinal velocity of blood is investigated for both the models of blood mentioned above. Based on our investigation, we discovered that the power law model's velocity profiles in the elastic artery outperform the Herchel-Bulkley model for fixed values of power index n and other parameters, and that the velocity of both fluids decreases as power index increases. Furthermore, we see that under linear transmular pressure, blood velocity drops as elasticity increases up to a transition point of unit value z; beyond this point, the outcome reverses. Every vessel's elasticity value causes the fluid's velocity to decrease downstream; nevertheless, if the vessel's elasticity is low, the downstream velocity from the transition point.