Solute dispersion in Casson fluid flow through a stenosed artery with absorptive wall

Abstract

An investigation on the dispersion of a solute in the flow of blood through a constricted artery with an absorptive wall having relevance to arterial pharmacokinetics is carried out in which the rheology of blood is characterized by the Casson model. The solute is considered to be administered at the inlet of the finite arterial lumen. The governing equations of motion for the flow and the convection–diffusion equation for the concentration with physiologically realistic boundary, initial and absorptive wall conditions are solved numerically by immersed boundary method (IBM) and the Marker and Cell (MAC) method in staggered grids formulation, popularly known as (IBM–MAC). The effects of the wall absorption parameter $$(\beta )$$ , yield stress $$(\tau _\mathrm{y})$$ , Reynolds number (Re) and the severity of the stenosis ( $$\delta $$ ) on the solute dispersion are analyzed and presented graphically which show good agreement with the existing results in the literature. The present study also reveals that the absorption parameter $$\beta $$ and the concentrations in both the lumen and the tissue are inversely related. This study can be useful in drug delivery to the affected artery where an abnormal plaque was formed.