Journal of Applied Mathematics

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

D. S. Sankar, Nurul Aini Binti Jaafar, and Yazariah Yatim

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 812535, 24 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495275

Digital Object Identifier
doi:10.1155/2012/812535

Mathematical Reviews number (MathSciNet)
MR2965710

Zentralblatt MATH identifier
1251.76069

Citation

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


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