Mathematical modeling of blood flow through a stenosed artery under body acceleration

In this research, a mathematical model of pulsating blood flow is numerically simulated in a stenotic artery. The Sisko fluid model has been used to describe the non-Newtonian rheology of blood. Vessels are assumed to be elastic and so their geometry is time-dependent. To simulate a more real human body, the stenoses are assumed to be tapered. By applying radial coordinate transformation, elastic vessel is transformed to rectangular shape vessel. Navier–Stokes equations of blood flow are solved using the finite difference method, considering the pressure gradient and body acceleration. Dynamic characteristics, such as blood flow velocity, volumetric flow rate and resistance to flow rate are obtained and the impact of body acceleration parameters on them is discussed. The results of the simulation are in good agreement with existing results .