The Effects of Magnetic Blood Flow in an Inclined Cylindrical Tube Using Caputo-Fabrizio Fractional Derivatives
Keywords:
Caputo Fabrizio derivative, blood flow, magnetohydrodynamics, cylindrical domainAbstract
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.