Mathematical Modeling for Poiseuille Flow of Blood Fluid Model with an Axial Velocity and Variation of Apparent Viscosity Slip Along an Artery Wall in Presence of Magnetic Field

Abstract

The effects of non-Newtonian nature of blood and pulsatility on flow through stenosed artery have been investigated. It is of interest to note that the thickness of the viscous flow region with axial distances. Mathematical modeling for poiseuille flow of blood fluid model with an axial velocity slip along an artery wall in presence of magnetic field, is considered. It is observed that when Hartmann number increases the fluid velocity is greatly affected. Many standard result regarding Newtonian fluid flows, uniform and steady flow in an artery can be obtained in the present analysis as the special cases. Applications of this theoretical modelling to cardiovascular diseases and the role of slip in the better functioning of the diseased or occluded arteries are included in brief.