Treatment and Slip Effect on MHD Blood Flow through a Stenotic Artery: A Mathematical Model

Abstract

Theoretical study of the treatment and slip effect on Magneto-hydrodynamic (MHD) blood flow through a stenotic artery where the porous wall and the boundary slip at the wall of the artery have a significant effect on the blood flow was investigated. The magnetic field is applied radially on the stenotic region of the artery with blood flowing axially. Dimensionless governing equations was solved using Frobenius series method to obtain a solution for the velocity of the blood flow, blood concentration, wall shear stress, fluid acceleration and the volumetric flow rate. The Results showed that, an increase in the chemical reaction increased the blood viscosity causing a decrease in the blood velocity, acceleration and shear stress at the wall but increases the volumetric flow rate of the blood. Increased slip at the wall with stenosis decreases the blood velocity, acceleration and volumetric flow rate but causes an increase in the wall shear stress.