Study of Two-Phase Unsteady Model of Blood Flow in a Tapered Stenosed Artery in the Presence of Externally Applied Transverse Magnetic Field

Abstract

Transverse magnetic field is applied externally on a tapered stenosed artery by considering blood flow as two-flow model, Newtonian in peripheral region and nonNewtonian in core region. The pulsatile flow of blood in peripheral region is considered as Bingham Plastic model and the flow in core region is considered as Herschel-Bulkley model. Dimensionless mathematical model (system of non linear differential equations) is formulated and solved using one of the most advantageous methods, finite difference method. The expressions for important flow characteristics axial velocity, volumetric flow rate and wall shear stress are derived to analyze the effect of magnetic field, tapering angle, hematocrit and time component. Matlab 7.10.0 is used for mathematical simulation. It is found that all the flow characteristics are affected in stenosed artery and magnetic field helps to regulate the flow up to some extent.