Mathematical modeling of shear augmented dispersion of solute in blood flow

Abstract

Articles you may be interested inSqueezing flow of collagen solution -Mathematical model of shear and elastic behavior AIP Conf. Proc. 1662, 040006 (2015); 10.1063/1.4918894 Modeling of human blood rheology in transient shear flows J. Rheol. 59, 275 (2015); 10.1122/1.4904423 Modeling of the blood rheology in steady-state shear flows Abstract. The shear augmented dispersion of solute in blood flow through (i) pipe and (ii) channel between parallel flat plates is analyzed mathematically, treating blood as Herschel-Bulkley fluid model. The expressions obtained by Sankar et al. (2012) for the normalized velocity, concentration of the solute, dispersion function in steady state and the effective axial diffusivity are used to compute new data. The estimates of the effective axial diffusivity are marginally lower when the solute disperses in pipe than when it disperses in channel, and are significantly lower when the solute disperses in H-B fluid than when it disperses in Casson fluid. The aforesaid estimates increase considerably with the increase of the radius/semi-width of plug core region and power-law index and, these estimates are significantly lower when the solute disperses in H-B fluid flow than when it disperses in Casson fluid flow. These estimates are considerably lower when the solute disperses in pipe than when it disperses in channel.

Mathematical analysis for unsteady dispersion of solute with chemical reaction in blood flow

“…The solute dispersion of nanoparticles within the tumor in blood vessels with permeable wall has been studied by many researchers [12][13][14][15]. Sankar et al [16] and Jaafar et al [17] analyzed the steady dispersion of solute in blood flow through pipe and channel for Herschel-Bulkley fluid using the approach of Taylor-Aris and GDM, respectively. In the studies mentioned so far, it is assumed that the solute does not chemically react with fluid.…”