Effects of slip and magnetic field on the pulsatile flow of a Jeffrey fluid with magnetic nanoparticles in a stenosed artery

Abstract

In this paper, a mathematical model for non-Newtonian blood along with its magnetic particles passing through a mild stenosis artery with slip velocity is presented. The present study seeks to understand the flow analysis of Jeffrey fluid arterial blood flow with mild stenosis. Using the fluid model, non-linear flow governing equations are obtained which can be solved by applying Laplace and Hankel transforms simultaneously. Exact solutions are derived for fluid velocity, particle velocity, shear stress and flow resistance. Influences of physical parameters such as Hartmann number, concentration and mass parameters on fluid and particle velocities are analyzed. Resultantly, it is observed that for smaller values of Womersley parameter and time value, the particle velocity decreases and reaches the value of fluid velocity. Furthermore, the study demonstrates that we can compute the magnitude of slip velocity of the particle.