Abstract and Applied Analysis

Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries

D. S. Sankar and Yazariah Yatim

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Abstract

Pulsatile flow of blood in narrow tapered arteries with mild overlapping stenosis in the presence of periodic body acceleration is analyzed mathematically, treating it as two-fluid model with the suspension of all the erythrocytes in the core region as non-Newtonian fluid with yield stress and the plasma in the peripheral layer region as Newtonian. The non-Newtonian fluid with yield stress in the core region is assumed as (i) Herschel-Bulkley fluid and (ii) Casson fluid. The expressions for the shear stress, velocity, flow rate, wall shear stress, plug core radius, and longitudinal impedance to flow obtained by Sankar (2010) for two-fluid Herschel-Bulkley model and Sankar and Lee (2011) for two-fluid Casson model are used to compute the data for comparing these fluid models. It is observed that the plug core radius, wall shear stress, and longitudinal impedance to flow are lower for the two-fluid H-B model compared to the corresponding flow quantities of the two-fluid Casson model. It is noted that the plug core radius and longitudinal impedance to flow increases with the increase of the maximum depth of the stenosis. The mean velocity and mean flow rate of two-fluid H-B model are higher than those of the two-fluid Casson model.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 235960, 34 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475844

Digital Object Identifier
doi:10.1155/2012/235960

Mathematical Reviews number (MathSciNet)
MR2975312

Zentralblatt MATH identifier
1253.76142

Citation

Sankar, D. S.; Yatim, Yazariah. Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries. Abstr. Appl. Anal. 2012 (2012), Article ID 235960, 34 pages. doi:10.1155/2012/235960. https://projecteuclid.org/euclid.aaa/1364475844


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