Abstract
Blood is one of the electrically conducting physiological fluids. Various applications have been proposed in magnetic studies of blood, such as targeted magnetic drug delivery, hyperthermia, cancer treatment, magnetic tracers, and reducing bleeding in surgeries. Therefore, this article aims to study the magnetic blood flow in an inclined cylindrical tube under the influence of the external magnetic field. The proposed problem is modeled in a cylindrical coordinated system in the form of Atangana-Baleanu (AB) time-fractional partial differential equations subject to physical initial and boundary conditions. The constructed model is solved for analytical solutions using the Laplace transform technique, and the Gaver-Stehfest algorithm is equivalently used for its numerical inversion. The results are portrayed in numerous graphs and interpreted physically. It is found that the blood velocity is substantially influenced by the magnetic field due to resistive forces that control the momentum boundary layer. The boundary layer thickness shows an increasing trend with increasing fractional parameters for short and large time ranges.