The Modeling of Pulsatile Blood Flow as Cross-Williamson and Carreau Fluids in an Artery with a Partial Occlusion

In the present article behavior of pulsatile blood flow through stenoses is studied using the incompressible non-Newtonian models. The non-Newtonian models chosen are characterized by the Carreau and Cross-Williamson models incorporating the effect of tapering due to the pulsatile nature of blood flow. The flow mechanism in the stenosed artery subject to a pulsatile pressure gradient arising from the normal functioning of the heart has been considered. An improved shape of the time-variant stenoses present in the tapered arterial lumen is given mathematically in order to update resemblance to the in vivo situation. Results were compared with powerlaw model and the differential approximation for the heat flux is invoked in the energy equation. The effect of heat transfer on the velocity is computed and discussed.