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

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 magneto-hydrodynamic 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. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.