Influence of Heat and Mass Transfer on Two-Phase Blood Flow with Joule Heating and Variable Viscosity in the Presence of Variable Magnetic Field

Abstract

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.