Herschel-Bulkley Model of Blood Flow through a Stenosed Artery with the Effect of Chemical Reaction on Solute Dispersion

A non-Newtonian mathematical model of blood described as a Hershel-Bulkley fluid flowing in stenosed artery with the effect chemical reaction is mathematically studied. The expressions shear stress, mean velocity and absolute plug non-plug flow field are evaluated analytically. convective-diffusion equation solved using Taylor-Aris technique subject to relevant boundary constraint determining concentration, relative effective axial diffusivity. efficiency dispersion process affected by presence stenosis flow. normalized decreases height length increase. diffusivity significantly lower while considerably rate, Besides, it observed that solute disperses stenosis, quantities lesser than absence stenosis. Further, this study helps understanding many physiological processes for instance drugs or nutrients circulatory system. Also, enhance through narrow arteries