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

• Published in: Mathematics and computers in simulation Vol. 166; pp. 432 - 450
• Main Authors: Shit, G.C., Maiti, S., Roy, M., Misra, J.C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2019
• Subjects: Body acceleration; Micropolar fluid; Overlapping stenosis; Porous medium; Body acceleration; Overlapping stenosis; Porous medium; Micropolar fluid
• ISSN: 0378-4754; 1872-7166
• DOI: 10.1016/j.matcom.2019.06.015

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. •Numerically studied MHD pulsatile flow of blood and heat transfer in the stenosed artery.•Body acceleration due to vibration is considered for simulating blood flow.•Microrotation of microparticles taken into account suspended in the porous vascular tube.•WSS increases significantly for a rise in the permeability of the porous medium.•Fluid acceleration enhances with an increase in amplitude of body acceleration.