Abstract

The present study is two-dimensional analysis of blood flow with variable viscosity through stenotic artery in the presence of transverse magnetic field in the porous medium. Blood flowing radially to walls of artery and axially through lumen has been determined through the solution of Navier Stoke’s equations and Darcy law. If deposition of low density lipoprotein (LDL) is taken into case, the coupled approach offers an understanding of practical problem of blood flow through stenosed artery. The analytical expressions for radial velocity, axial velocity, shear stress and pressure gradient are obtained in the presence of magnetic field using Frobenius method. The numerical results for radial velocity, axial velocity, pressure gradient and shear stress are expressed graphically. The results then obtained are discussed to provide physical interpretation. The investigation shows that hypertensive patients are more adequate to have heart circulatory problems.

Key words: Indented artery, two-dimensional blood flow, shear stress, magnetic field, radial velocity, variable viscosity, Hematocrit.