Convective Diffusion Process of Blood Vessels in the Presence of Porous Effects

In this paper, convective dominated diffusion process in an axisymmetric tube with a local constriction simulating a stenosed artery considering the porosity effects is carried out. The investigations demonstrate the effects of wall shear stress and recirculating flow on the concentration distribution in the vessels lumen and on wall mass transfer keeping the porosity in view. The flow is governed by the incompressible Navier-Stokes equations for Newtonian fluid in porous effects. The convection diffusion equation is used for the mass transport. The effect of porosity is examined on the velocity field and wall shear stress. The numerical solutions of the flow equations and the coupled mass transport equations are solved using finite difference scheme. The study explains the effect of porosity of the flow on the mass transport. The works that consider the possibility of reducing these flow instabilities using porous effect are reviewed.