Laminar single‐phase modeling and numerical study of flow of aspirin in a coronary arterial bifurcation with slip boundary

Abstract Drug distribution patterns in tissues are regulated by a complicated interaction of convective and dispersive forces. The main objective of this study is to evaluate the distribution characteristics of aspirin particles in a stenosed arterial bifurcation, while accounting for the impacts of wall slip circumstances, in order to enhance medication administration for cardiovascular treatment. Pure convection and coupled convection‐diffusion of the aspirin molecules are explored as a subset of pharmacological therapy of stenosis, incorporating the slip effects along the arterial walls. Analyses on biofluid circulation benefit from slip wall circumstances since they lessen the impact of friction along the conduit wall. While the blood exhibits a lack of adherence at the drenched wall, causing the blood to glide down its surface, its movement profile often correlates to a slipstream. A computational model to study the flow of aspirin nanoparticles is developed, and the model is solved using finite element methods. The variational formulation of the model is made using Galerkin's weighted residual method. The results obtained show the impact of convection and diffusion on the distribution of aspirin molecules along the flow across the bifurcation. The importance of the diffusivity properties of aspirin in designing and developing combinational medicines to treat arterial blockage is highlighted. The prospects of the present research that affix uniqueness to the article are convection‐diffusion analysis of aspirin transport across the stenosis in a bifurcated arterial segment, incorporation of slip velocity affecting the drug distribution, and the Galerkin formulation of the convection‐diffusion equation.