In this paper, flow analysis for a non-Newto-
nian 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 accelera-
tion motion and pulsatile pressure gradient. DuFort–Fran-
kel 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.
