Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study

Abstract

The paper is devoted to a numerical investigation of the pulsatile flow of blood through a porous overlapping constricted artery under the influence of an externally imposed magnetic field and vibration environment that is originated from the body force. Blood is considered as micropolar fluid. The heat transfer phenomenon arising out of viscous dissipation is also studied. The problem is solved numerically by developing a Crank–Nicolson finite difference scheme after transforming the original governing equations from the physical domain to a rectangular computational domain. The computational results for the velocity and temperature distributions, fluid acceleration, skin friction and Nusselt number are presented graphically for different values of the physical parameters. The study shows that the Nusselt number increases with rise in Prandtl number and Brinkman number both and that owing to the dissipation of energy caused by blood viscoelasticity and magnetic field effect, during pulsatile flow of blood, the heat transfer rate at the wall of the artery is enhanced.