Author(s)

Shafi Ullah Siddiqui, Chhama Awasthi^*

Department of Mathematics, Harcourt Butler Technical University, Kanpur, India.

In this paper, the pulsatile flow of blood through an inclined catheterized stenosed artery is analyzed. Perturbation method is used to solve the implicit system of partial differential equations with suitable boundary conditions. Various analytical expressions axial velocity, flow rate, wall shear stress and effective viscosity have been derived with the help of MATLAB for understanding the fluid flow phenomena. The combined effect of catheterization, body acceleration, slip and inclination has been seen by plotting the graph and observed that axial velocity and flow rate increases with the increase in body acceleration, inclination angle and slip velocity while axial velocity diminishes on increasing the catheter radius. Wall shear stress increases with the increase in catheter radius and body acceleration but presence of slip velocity reduces the wall shear stress. Effective viscosity diminishes on increasing body acceleration and inclination angle, whereas slightly augmented in non-inclined stenosed artery.

Newtonian Fluid, Blood Flow, Stenosis, Pulsatile Flow, Catheterized Artery

Siddiqui, S. and Awasthi, C. (2017) Mathematical Analysis on Pulsatile Flow through a Catheterized Stenosed Artery. Journal of Applied Mathematics and Physics, 5, 1874-1886. doi: 10.4236/jamp.2017.59157.