Flow characteristics of MHD oscillatory two-phase blood flow through a stenosed artery with heat and mass transfer

Abstract

In blood, the concentration of red blood cells varies with the arterial diameter. In the case of narrow arteries, red blood cells concentrate around the center of the artery and there exists a cell-free plasma layer near the arterial wall due to Fahraeus-Lindqvist effect. Due to non-uniformity of the fluid in the narrow arteries, it is preferable to consider the two-phase model of the blood flow. The present article analyzes the heat and mass transfer effects on the two-phase model of the unsteady pulsatile blood flow when it flows through the stenosed artery under the effects of radiation and chemical reaction. The direction of the artery is assumed to be vertical and the magnetic field is applied along the radial direction of the artery. We assume that the value of the shear stress is high enough so that nature of blood can be modeled as Newtonian in both erythrocytes suspended core region as well as RBC-depleted plasma region. We derive a mathematical model for the mixed convection problem of two-phase blood flow as nonlinear partial differential equations and get the exact solutions for the velocity, temperature and concentration profiles. Further, a comparative study is carried out between the single-phase and two-phase model of the blood flow, and it is observed that the two-phase model fits the experimental data more accurately than the single phase model. Subsequently, to measure two-phase blood flow behavior under the effects of applied magnetic field and thermal radiation, we demonstrate the graphs of wall shear stress, impedance, and total flow rate under the effect of applied magnetic field and thermal radiation via simulations