Abstract
In this paper, a mathematical and numerical study of the effect of red blood cell concentration on a circular cross section tube is presented. The considered PDE system use the Bingham model describing blood as a non-Newtonian fluid. This system consists of Navier-Stokes equations describing the behavior of fluid and advection-reaction-diffusion equations that take into account the influence of chemical reactions on transient flow behavior in the arteries. Finally, numerical tests are presented to treat blood flow in the case of fusiform aneurysms caused by abdominal aortic aneurysm disease.