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Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries
Joint Authors
Jaafar, Nurul Aini Binti
Yatim, Yazariah
Sankar, D. S.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sankar, D. S.& Jaafar, Nurul Aini Binti& Yatim, Yazariah. 2012. Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-1029013
Modern Language Association (MLA)
Sankar, D. S.…[et al.]. Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries. Journal of Applied Mathematics No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-1029013
American Medical Association (AMA)
Sankar, D. S.& Jaafar, Nurul Aini Binti& Yatim, Yazariah. Nonlinear Analysis for Shear Augmented Dispersion of Solutes in Blood Flow through Narrow Arteries. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-1029013
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029013