A Mathematical Approach to Study the Blood Flow Through Tapered Stenosed Artery with the Suspension of Nanoparticles

Abstract

This model of heat and mass transfer on the blood flow through a tapered stenosed artery is solved by Homotopy Perturbation Method where the rheology of flowing blood is characterized by the Jeffrey fluid model. The equations governing the blood flow is modeled in cylindrical coordinates. Analytical solutions are constructed for the velocity, temperature, concentration and flux by solving flow governing non-linear coupled equations. Variation in velocity profile, temperature profile, concentration profile and flux profile for different values of thermophoresis and Brownian motion parameter are discussed.