Analysis of flow characteristics through an artery with time dependent overlapping stenosis

The present study deals with blood flow through an arterial segment with overlapping stenosis depending on time to a certain extent. The problem is examined by a combined effort of analytical and numerical techniques. The influence of time and slip velocity on wall shear stress, resistance to flow, axial velocity and volumetric flow rate are expressed graphically. The characteristic velocity for protuberance is taken into consideration under which critical value of Reynolds number where separation occurs has been obtained. The expressions of dimensionless discharge variable, dimensionless shear stress variable are found. It is observed that the wall shear stress increases with time parameter but decreases with increasing slip velocity. The axial velocity of blood diminishes with time parameter. This investigation of blood may be useful in designing and fabrication of artificial organs.