Mathematical Modeling of Blood Flow through an Inclined Axially Non-Symmetric Stenosed Catheterized Artery with Body Acceleration

摘要

In this paper, a mathematical model has been developed to study the pulsatile flow of blood through an axially non-symmetric but radially symmetric stenosed inclined catheterized artery with periodic body acceleration and slip at wall. In our study, blood is assumed to be Newtonian fluid, since in general stenosis is developed in large arteries. Here, perturbation as well as analytical methods are used to finding the solutions of non-linear partial differential equations of various flow variables. In this work, various interesting results are obtained regarding velocity field, volumetric flow rate, wall shear stress and effective viscosity of blood during catheterization in inclined arteries. The variation of flow variables with different parameters are obtained graphically and discussed elaborately. Here, it has been observed that velocity increases with increase of inclination, time, body acceleration to a certain limit and then decreases. Also, wall shear stress increases with increase of inclination but decrease with increase of body acceleration and slip velocity. Volumetric flow rate increases with mild increase of body acceleration and Effective viscosity also increase with increase of stenosis shape parameter.