Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery

Abstract

A theoretical model is proposed to investigate the coupled effects of thermal radiation and electromagnetic field on the blood flow in a stenosed tapered artery. Here, blood is treated as a non-Newtonian Jeffrey fluid model which includes magnetic particles. The magnetohydrodynamic flow is pulsatile, and exhibits slip velocity at the complaint wall. The flow medium consists of a cylindrical rigid tube with porous medium that is subjected to periodic body acceleration, transverse external magnetic field and applied electric field in the axial direction. Assuming the existence of mild stenosis, a set of flow governing equations is solved using integral transform method. Further, exact solutions are computed for non-dimensional temperature and velocity profiles of fluid and particles. Additionally, equations for different flow characteristics such as wall shear stress, volumetric flow rate, and flow resistance are derived and discussed through graphical illustrations. Results demonstrate that the temperature of blood increases with the increase of heat absorption coefficient and time. However, the temperature decreases with the increase of radiation number and Peclet number. While the velocity profile is directly proportional to the Grashof number and heat absorption coefficient, it is inversely proportional to the radiation number and Peclet number. The applied electric field diminishes the magnitude of fluid's flow resistance, but it increases with the increase of the magnetic field strength. By combining heat radiation with electromagnetic field, this study contributes to new insights to the physical properties of blood.

A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries

“…Blood circulation in restricted arteries is modelled as a two-fluid system, with non-Newtonian Jeffrey fluid in the centre and Newtonian fluid at the peripheral layer region. Recent investigations also utilised Jeffrey fluid model to analyse the effects of stenosis with several physical and geometrical conditions [ 117 – 121 ].…”

Application of Magnetic Drag Force in Hybridization of Ag-Cu/Blood flow in a Stenosed Arterial System in Darcian Porous Material: A Finite Difference Scheme

“…al. [20] worked on a constricted porous artery under the impacts of radiation and electromagnetic field on an arterial blood flow with nanoparticles. With the incorporation of hybrid nanoparticles, the model of a multi-stenosed artery with viscous dissipation, inclined magnetic field, radiation and Joule heating was discussed by Sharma et al [21] and it mainly deals in entropy generation analysis and heat transfer of the same.…”