Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012 (2012), Article ID 812535, 24 pages.
Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries
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.
J. Appl. Math., Volume 2012 (2012), Article ID 812535, 24 pages.
First available in Project Euclid: 14 December 2012
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Sankar, D. S.; Jaafar, Nurul Aini Binti; Yatim, Yazariah. Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries. J. Appl. Math. 2012 (2012), Article ID 812535, 24 pages. doi:10.1155/2012/812535. https://projecteuclid.org/euclid.jam/1355495275