Momputational analysis of MHD blood flow through a stenosed artery in the presence of body acceleration and chemical reaction

Abstract

The unsteady, laminar and two-dimensional pulsatile flow of both, Newtonian and non Newtonian chemically reacting blood in an axisymmetric stenosed artery subject to body ac celeration and magnetic fields were studied. In the case of non-Newtonian blood, heat transfer was taken into consideration. The combined effects of body acceleration, magnetic fields and chemical reaction on blood flow were considered. The non-Newtonian model was chosen to suit the Herschel-Bulkley fluid characteristics. The non-dimensional governing equations were solved using the explicit finite difference method and executed using MATLAB package. The solutions showing the velocity, temper ature and concentration profiles were illustrated. The effects of Reynolds number, Hartman number, Schmidt number, Eckert number and Peclet number were examined. Additionally, the effects of stenosis and body acceleration on blood flow were explored. The study found that, body acceleration, magnetic fields and stenosis affect the normal flow of blood. Body acceleration was observed to have more effect on blood flow than the mag netic fields and stenosis. Furthermore, as the key findings of the study, it was noticed that the combined effect of stenosis, body acceleration, magnetic field and chemical reaction, reduce the concentration profile of the blood flow and the blood flow velocity. It was also observed that, the axial velocity, concentration and skin friction, decrease with increasing stenotic height. The velocity on the other hand increased as the body acceleration increased. Furthermore, as the Hartman number increased, both the radial and axial velocities diminished. The higher the chemical reaction parameter was, the lower were the concentration profiles. For the non-Newtonian blood, the velocity profile diminished with increase in the Hartman number and increased with the body acceleration. The temperature profile was observed to rise by the increase of body acceleration and the Eckert number, while it diminished with the increase of the Peclet number. It was also found that, the concentration profile increased with the increase of the Soret number and decreased with the increase of the chemical reaction. It was further observed that the shear stress deviated more when the power law index, n > 1 than when n < 1.