Effect of periodic body acceleration and pulsatile pressure gradient pressure on non-Newtonian blood flow in arteries

Abstract

In this paper, flow analysis for a non-Newtonian third-grade fluid in coronary and femoral arteries is simulated numerically. The fluid is considered as a third-grade non-Newtonian fluid under periodic body acceleration motion and pulsatile pressure gradient. DuFort–Frankel and Crank–Nicholson methods are used to solve the PDE of the governing equation and a good agreement between them was observed in the results. The influences of some physical parameters such as amplitude, lead angle and body acceleration frequency on velocity and shear stress profiles are considered. For instance, the results show that increasing the amplitude and reducing the lead angle of body acceleration, make higher velocity profiles in the center line of both arteries. Also, the maximum wall shear stress increases when the amplitude increases.