Mathematical Modeling on Unsteady MHD Oscillatory Blood Flow in an Inclined Tapered Stenosed Artery with Permeable Wall: Effects of Slip Velocity

Abstract

The purpose of this work is to study the Mathemetcal modeling on unsteady MHD Oscillatory blood flow in an inclined tapered stenosed artery with permeable wall the effets of slip velocity. The governing equation are solved by analytically by using Bessel function. The analytic explicit expressions of axial velocity, volumetric flow rate and wall shear stress are given. The effects of slip condition, magnetic field, permeable wall and Oscillatory flow have been discussed. The obtained results for different values of parameters in to the problem under consideration, show that the flow is appreciably influenced by the presence of Reynolds number $(R_e)$, Slip parameter $(\gamma)$, Froude number $(F_r)$, artery inclination $(\alpha)$, inclination of Magnetic field $(\theta)$ , Darcy number $(D_a)$, permeability $(k)$ and Hartmann number $ (M)$. Some of the found results show that the flow patterns with slip effects in non-tapered region $(\xi=0)$, converging region $(\xi<0)$ and diverging region $(\xi>0) $ are effectively influenced by the presence of magnetic field and change in learning of artery, with time varying pressure gradient. Results for the effect of permeability on these flow characteristics are shown graphically and discussed briefly.