A biomechanical approach to study the effect of body acceleration and slip velocity through stenotic artery

Abstract

This paper presents the study of blood flow through stenosed artery with the effect of external body acceleration and slip velocity. Blood has been considered as non-Newtonian Bingham plastic fluid model. The non-linear differential equations governing the fluid flow are solved using the perturbation method and Matlab. The analytic expressions are derived for the velocity profile, flow rate, wall shear stress and effective viscosity. The computer codes are developed for the analysis of physiological parameters. The variation of flow variables with different parameters are shown graphically and discussed. It is noticed that the velocity and flow rate and resistance to flow increases but effective viscosity decreases due to wall slip. Body acceleration enhances the axial velocity and flow rate. However the wall shear stress decreases significantly with the application of slip velocity.