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.
In this analysis, a theoretical model is proposed to examine the collective effect of slip velocity, magnetic field, and inclination angles on an unsteady non-Newtonian particulate suspension flow in an inclined diseased tapered tube with a porous medium by applying an external inclined magnetic field. By deploying integral transform methods, analytical expressions are obtained for the flow characteristics such as velocity profiles of fluid and particles, wall shear stress, flow rate, and flow resistance. With the aid of numerical computations, the significance of inclination angle, porous medium, and magnetic intensity are analyzed and illustrated graphically. Further, various physiological parameters affecting the flow characteristics are discussed which would facilitate the rheological functions of blood in the field of biology, biomedicine, and engineering sciences.
scite is a Brooklyn-based startup that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.