Steady flow in the Willis circle using a Quemada model

The paper presents new results on the dynamics of blood flow in the Willis circle, by taking into account the non‐Newtonian nature of the blood through a Quemada model. In previous papers we performed a steady analysis of the blood flow in the Willis polygon, by considering the blood as a Newtonian fluid. In hemodynamics this is the first step, while taking into account the non‐Newtonian behaviour of the fluid is called a second order approach. This is in fact the aim of our paper, to compare the results (blood flow rates and pressures) obtained in a non‐Newtonian approach with those furnished by a Newtonian modeling of the blood. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)