Mathematical Modelling on Oscillatory flow of Blood in a stenosed artery under the influence of Magnetic field with Variable Viscosity

摘要

This paper presents a theoretical study of oscillatory flow of blood in stenosed artery in the presence of Magnetic field with variable viscosity. The governing equation for laminar incompressible fully developed and Newtonian fluid by assuming time dependent exponential pressure gradiant subject to the boundary conditions is solved by using the Frobenius method. The variable viscosity of blood depending on hematocrit is taken into account in order to improve resemblance to the real situation. It is assumed that the surface roughness is cosine shaped and the maximum height of roughness is very small compared with radius of the unconstructed tube. The analytical expression for velocity component (V), Volumetric flow rate (Q) and wall shear stress (T) are obtained. The effect of magnetic field (B_0), Hartmann number (M) and maximum Hematocrit at the center of the arterial segment (H) on velocity, flow rate and stress are computed graphically.