Mathematical modeling of blood flow through tapered stenosed artery with the suspension of nanoparticles using jeffrey fluid model

This research paper presents the mathematical analysis of heat and mass transfer on the blood flow through a tapered stenosed artery with the suspension of nanoparticles. The non-linear equations governing blood flow is modeled in cylindrical co-ordinates and are solved by Homotopy Perturbation Method where the rheology of flowing blood is characterized by the Jeffrey fluid model. Analytical solutions are constructed for the velocity profile, temperature profile, concentration profile and flux profile by solving flow governing non-linear coupled equations. Homotopy Perturbation technique is used to calculate velocity profile, temperature profile, concentration profile and flux profile for different values of thermophoresis and Brownian motion parameter. MATLAB computational programming is used to find the computational results. The computational results are presented graphically at the end of the paper. The significance of the present model over the existing models has been pointed out by comparing the result with other theories both analytically and numerically as to validate the applicability of this mathematical model where the blood is considered as Jeffrey fluid model.