Mathematical modeling of blood flow in an inclined tapered artery under MHD effect through porous medium

The purpose of this work is to study the effect of blood flow in an inclined tapered artery under MHD effect through porous medium. Blood is considered as an electrically conducting Newtonian fluid. In this model, the analytical expressions for the volumetric flow rate, pressure gradient, wall shearing stress, and velocity profile have been derived. The problem is described by the usual MHD equations along with suitable boundary conditions. There is also a noticeable effect of permeability on the volumetric flow rate. Some of the found results show that the flow patterns in non-tapered region ( = 0), converging region ( < 0), and diverging region ( > 0), are effectively influenced by the presence of magnetic field and change in leaning of artery.