Abstract
Conference Title: 2018 International Conference on Electronics, Control, Optimization and Computer Science (ICECOCS) Conference Start Date: 2018, Dec. 5 Conference End Date: 2018, Dec. 6 Conference Location: Kenitra, Morocco The Oldroyd-B constitutive model is widely used for describing the viscoelastic behavior of the blood. However, there is sill a lack of blood flow simulations using non-Newtonian models, hence, a poor understanding of many cardiovascular diseases, mainly, atherosclerosis. In this paper, we intent to realize numerical computations of blood flow through arteries with the presence of a stenosis. We used the Newton iterations to deal with the nonlinear and coupled system of equations that includes the steady Navier-Stokes equations and the Oldroyd-B constitutive equations for viscolelastic fluids. The velocity and pressure field are calculated using the mixed finite elements discretization of the two dimensional spacial parameters. The numerical simulations are realized for a complex geometry of the flow domain with the existence of an arterial stenosis with fixed form. We demonstrated from the obtained results that the fluid behavior differs the Newtonian fluids and gives more realistic understanding of blood flow. Also, we showed the clear effect of stenosis shape and fluid model parameters on the blood flow. The presented study gives more insights on the understanding of blood flow behavior with the presence of various arterial diseases by the variation of different fluid and geometry parameters.