Journal of Applied Mathematics
Volume 2012 (2012), Article ID 812535, 24 pages
Research Article

Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries

1School of Advanced Sciences, VIT University, Chennai Campus, Chennai 48, India
2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

Received 23 May 2012; Accepted 2 July 2012

Academic Editor: Turgut Öziş

Copyright © 2012 D. S. Sankar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The shear augmented dispersion of solutes in blood flow (i) through circular tube and (ii) between parallel flat plates is analyzed mathematically, treating blood as Herschel-Bulkley fluid model. The resulting system of nonlinear differential equations are solved with the appropriate boundary conditions, and the expressions for normalized velocity, concentration of the fluid in the core region and outer region, flow rate, and effective axial diffusivity are obtained. It is found that the normalized velocity of blood, relative diffusivity, and axial diffusivity of solutes are higher when blood is modeled by Herschel-Bulkley fluid rather than by Casson fluid model. It is also noted that the normalized velocity, relative diffusivity, and axial diffusivity of solutes are higher when blood flows through circular tube than when it flows between parallel flat plates.