Eur. Phys. J. Spec. Top. (2022) 231: 1205-1214
https://doi.org/10.1140/epjs/s11734-022-00528-3

Regular Article

Pulsating hydromagnetic flow and heat transfer of Jeffrey ferro-nanofluid in a porous channel: a dynamics of blood

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632 014, Vellore, Tamil Nadu, India

Received: 18 July 2021
Accepted: 3 March 2022
Published online: 22 March 2022

Abstract

An analytical investigation has been carried out to study the influence of MHD pulsatile flow of Jeffrey ferro-nanofluid in a porous channel with the effect of Joule heating, viscous dissipation and heat source/sink. Blood is considered as Jeffrey fluid (base fluid) and ${\mathrm{Fe}}_3{\mathrm{O}}_4$ (magnetite) taken as nanoparticles. The Maxwell Garnett model for thermal conductivity of nanofluid is utilized. Flow is prompted by the pulsatile pressure gradient. The governing flow equations are solved analytically using the perturbation procedure. The influences of different parameters on velocity, temperature and rate of heat transfer have been analysed. The results depicts that the velocity of nanofluid is heightened with a rise in the frequency parameter while declining with increasing magnetic field and volume fraction. The temperature of nanofluid is increased by increasing viscous dissipation. The rate of heat transfer rises with an increase in nanoparticle volume fraction.