Unsteady Flow of Bingham Model: Investigating the Impact of Arterial Inclination on Solute Transport in Stenosed Artery

Abstract

The present research investigates the impact of arterial inclination and body acceleration force on the blood flow and solute dispersion through a stenosed artery using the Bingham model as a representation of the blood rheology. The problem is formulated using the momentum equation with the presence of inclination and body force acceleration parameter; and solved numerically for the blood velocity using the perturbation method with the stenosis size as the boundary condition. The solute dispersion aspect is formulated using the unsteady convective-diffusion equation and solved using the Generalized Dispersion Model (GDM) for the steady dispersion function. The solutions are graphically plotted and analysis of the blood flow and solute dispersion under the influence of arterial inclination, yield stress, time and stenosis size are conducted. Results show that the increase in arterial inclination increases the blood velocity and steady dispersion function. However, the increment in yield stress and stenosis size shows a contradictory effect by decreasing the blood velocity and steady dispersion function.