Mathematical modelling of unsteady solute dispersion in two-fluid (micropolar-Newtonian) blood flow with bulk reaction

A mathematical model is developed for hemodynamic transport of a reactive diffusing species e.g., oxygen in rigid artery under constant axial pressure gradient and undergoing first-order chemical reaction with streaming blood. two-fluid deployed where the core region simulated as an Eringen micropolar fluid, plasma layer engulfing core, i.e., near boundary, analyzed Newtonian viscous fluid. Closed-form solutions are presented velocity micro-rotation profiles, Gill decomposition method concentration field. Expressions derived dispersion coefficient, mean transverse concentration. Transverse observed to be enhanced increasing coupling number (N) rate (?); however, it reduced greater material parameter (s) viscosity ratio (?). Axial peaks magnitude displaced further along arterial geometry values, whereas opposite effect induced number. The study relevant hemorheology, diseased arteries coagulating hemodynamics may help physiologists furnishing more refined understanding diffusion processes cardiovascular hydrodynamics.