• TWO-LAYERED NEWTONIAN MODEL FOR BLOOD FLOW MODEL IN CATHETERIZED ASYMMETRIC STENOSED ARTERY WITH VELOCITY SLIP AT INTERFACE

Abstract

The paper deals with a mathematical model for two-layered blood flow inside a catheterized asymmetric stenosed artery and velocity slip at the interface. The model consists of a core region of red blood cell suspension in the middle layer and the cell poor region peripheral plasma layer (PPL) 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 and respectively. Analytical expressions are obtained for axial velocity, flow rate, and wall shear stresses. The behaviour of three flow variables have been discussed. By employing velocity slip at interface, axial velocity and flow rate can be accelerated on one hand and impedance to flow can be retarded on the other. The present analysis includes some mathematical models as its special cases. Physiological implications of this theoretical modeling to blood flow situations, are also discussed in brief.