Two Layered Mathematical Model for Blood Flow through Tapering Asymmetric Stenosed Artery with Velocity Slip at the Interface under the Effect of Transverse Magnetic Field

The paper considers a mathematical model for two-layered blood flow through a tapered artery with the growth of a asymmetric mild stenosis and velocity slip at the interface. The model consists of a core region of red blood cell suspension in the middle layer and the peripheral plasma layer (PPL) in the outer region. It is assumed that both the core and the peripheral plasma layer are represented by a Newtonian fluid with different viscosities. In this model, the flow is assumed to be steady, laminar and unidirectional and analytical expressions are obtained for axial velocity, flow rate and wall stresses. Their variations with different flow parameters are plotted graphically and the behaviour of these flow variables in this constricted region has been discussed. It is observed that fluid velocity, flow rate as well as wall shear stress decreases with the introduction of the magnetic field and when its intensity is increased. Also it is seen that fluid velocity, flow rate and shear stress increases with the increase of Reynolds number.