Unsteady Solute Dispersion in Jeffrey Blood Flow with the Effect of Stenosis

Abstract

The research aims to analyst the impact of the ratio of relaxation time, slip velocity and the relative height of stenosis towards the blood velocity and solute dispersion in the Jeffrey blood flow within a stenosed artery. Methods: Generalized Dispersion Model (GDM) is applied into the convective diffusion equation which is then solved to obtain solute concentration and dispersion function. Results and Discussion: When the relative stenosis height increases, there is a slight reduction in blood flow velocity. As time increases, the unsteady dispersion func- tion contracts at the center and expands along the arterial wall. With an increases in the ratio of relaxation time, the dispersion function expands along the arterial wall and contracts at the center. Conclusion: The presence of the ratio of relaxation time in a stenosed artery can disrupt both blood velocity and the dispersion function. This research has the potential to predict drug delivery to specific stenosed regions, thereby enabling more precise and targeted medical treatment.