In this paper, we present the mathematical study of heat and mass transfer effects on an arterial blood flow under the influence of an applied magnetic field with chemical reaction. A case of mild stenosis is considered in a non-tapered artery which is inclined at an angle γ from the axis. The variable viscosity of the blood is considered varying with the hematocrit ratio. Governing non-linear differential equations have been solved by using an analytical scheme, homotopy perturbation method to obtain the solution for the velocity, temperature and concentration profiles of the blood flow. For having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted for wall shear stress, velocity, temperature and concentration profiles with varying values of the applied magnetic field, chemical reaction parameter and porosity parameter. The results show that in an inclined artery, the magnitude of the wall shear stress at stenosis throat increases as values of the applied magnetic field increase while it reduces as the values of both the chemical reaction and porosity parameters increase. Contour plots have been plotted to show the variations of the velocity profile of blood flow as the values of the height of the stenosis as well as the influence of the applied magnetic field increase.

In this paper, simultaneous effects of viscous dissipation and Joule heating on unsteady two-phase blood flow through a stenosed artery in the presence of variable applied magnetic field have been investigated. The present two-layered model of blood flow consists of a central core of suspended erythrocytes and a cell-depleted plasma layer surrounding the core. It is assumed that the viscosity of the cell-free plasma layer is constant while the viscosity of the core is a function of the hematocrit level. A consistent system of nonlinear partial differential equations is solved numerically using shooting methods to estimate the flow rate, flow resistance and wall shear stress. The quantitative profile analysis of velocity, temperature and concentration as well as the Nusselt number and Sherwood number is carried out over the entire arterial segment. To validate the model, a comparative study has been done between the present results and the experimental results for the cell velocity distribution of 40% RBC containing blood which exhibits that the present results are in fairly good agreement with the experimental results. The velocity contours have been plotted to understand the flow pattern in the diseased narrowed artery, which alters significantly in the downstream of the stenosis under the influence of magnetic field.

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