Dispersion of a Solute in Blood Flowing Through Narrow Arteries with Homogeneous First-order Chemical Reaction

In this paper, the dispersion of a solute in blood flow in a tube has been discussed. Treating blood as thixotropic fluid modell, the presence of homogeneous chemical reaction has been considered in the analysis by adopting Taylor's approach, and the effects of various parameters on the equivalent dispersion coefficient have been studied. It is seen that the dispersion coefficient decreases as the reaction rate constant increases, for given parameters of non-Newtonian fluids. A comparative study of the equivalent dispersion coefficient among Newtonian and other non-Newtonian modells is made. One of the remarkable results is that the increase in the scalar structural parameter of materials or thixotropic parameter leads to yield a decreasing trend in the equivalent dispersion coefficient. The present analytical study provides useful information of the physiological process in the circulatory system.