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.