Kc. Ang et Jn. Mazumdar, MATHEMATICAL-MODELING OF 3-DIMENSIONAL FLOW THROUGH AN ASYMMETRIC ARTERIAL-STENOSIS, Mathematical and computer modelling, 25(1), 1997, pp. 19-29
In this paper, a three-dimensional model of blood flow through a vesse
l with an asymmetric stenosis is developed. The governing equations ar
e the usual Navier-Stokes equations for unsteady elliptic Bows, and th
ese equations are solved using PHOENICS, a computational fluid dynamic
s package which uses the Finite Volume technique. The model is studied
for values of Reynolds number ranging from 100 to 1000 for four diffe
rent degrees of stenosis. Results of pressure drops show good agreemen
t with published results. The study also shows that the side of the wa
ll with the stenosis experiences a higher shearing stress compared to
the opposite side without any protuberance. The ratio of the peak shea
r stresses on the walls may be as high as 2.5 for Re = 100 to 1000, an
d varies only slightly with the Reynolds number.