The modeling of pulsatile blood flow as Cross-Williamson and Carreau fluids in an artery with a partial occlusion

摘要

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 power-law 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.