The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives

Abstract

In this paper, the flow of blood through an inclined cylindrical tube subjected to an inclined magnetic field was analysed. The blood flow was considered under the influence of uniformly distributed magnetic particles. The Caputo-Fabrizio fractional derivative was used to study the flow of magnetic blood in an inclined cylindrical tube. The blood flow was driven by an oscillating pressure gradient and an external magnetic field. The analytical solutions were obtained by means of the Laplace and finite Hankel Transforms. The effects of fluid parameters such as Hartmann (Ha) and Reynolds (Re) numbers on the velocities of blood and magnetic particles were graphically presented using MATHCAD. The results show that magnetic field would reduce the velocities of blood and magnetic particles due to Lorentz forces. Meanwhile, the velocities of blood and magnetic particles increase with respect to Re. The velocity of magnetic particles is always lesser than that of blood regardless of the presence of magnetic field.