Effect of externally applied transverse magnetic field on blood flow in tapered stenosed artery: by Frobenius method

Abstract

A mathematical model to observe the behaviour of blood flow in the presence of externally applied transverse magnetic field in a tapered stenosed artery is developed. Blood flow is assumed to follow Bingham plastic model. The effect of constant and variable viscosity on blood flow has been studied. To find expressions for important flow characteristics; volumetric flow rate, radial velocity and wall shear stress, the system of non-linear differential equations is solved by Frobenius method. Matlab 10.7.0 is used to analyze the behavior of blood flow. It is observed that these important flow characteristics change their behavior in stenosed tapered artery and externally applied transverse magnetic field helps in regulating these changes up to some extent.