Suspension model for blood flow through a tapering catheterized inclined artery with asymmetric stenosis

We intend to study a particle fluid suspension model for blood flow through an axially asymmetric but radially symmetric mild stenosis in the annular region of an inclined tapered artery and a co-axial catheter in a suitable flow geometry has been considered to investigate the influence of velocity slip at the stenotic wall as well as hematocrit, shape parameter. The model also includes the tapering effect and inclination of the artery. Expressions for the flow variables have been derived analytically and their variations with various flow parameters are represented graphically. The results for the different values of the parameters involved show that the impedance to flow increases with stenosis height, hematocrit and catheter radius. However, it decreases with the shape parameter, angle of inclination of artery and velocity slip at the stenotic wall. The present analysis is an extension of the work by Chakraborty et al. (2011) and also includes several theoretical models of arterial stenosis in the uniform, tapering and catheterized tubes, with the consideration of velocity slip or zero slip at the vessel wall. Finally, some biological implications of this theoretical modeling are included in brief.