• TWO-LAYERED MATHEMATICAL MODEL FOR BLOOD FLOW INSIDE AN ASYMMETRIC STENOSED ARTERY WITH VELOCITY SLIP AT INTERFACE

Abstract

The present paper deals with a mathematical model for blood flow through an asymmetric stenosed artery with velocity slip at the interface. The model consists of a core region of red blood cell suspension in the middle layer and the peripheral plasma layer in the outer region. It is assumed that both the core and the peripheral plasma layer are represented by a Newtonian fluid with different viscosities µ₁ and µ₂ respectively. Analytical expressions are obtained for axial velocity, flow rate, wall shear stresses and pressure gradient. Their variations with different parameters are plotted in figures. The behaviour of these flow variables has been discussed here. Physiological implications of this theoretical modeling to blood flow situations, are also discussed in brief