Mathematical Analysis of Single and Two Phase Flow of Blood in Narrow Arteries with Multiple Contrictions

Sankar, DS and Nagar, Atulya and Kumar, A. Vanav (2015) Mathematical Analysis of Single and Two Phase Flow of Blood in Narrow Arteries with Multiple Contrictions. Journal of Applied Fluid Mechanics, 8 (4). pp. 871-883. ISSN 1735-3572

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Abstract

The pulsatile flow of blood in narrow arteries with multiple-stenoses under body acceleration is analyzed mathematically, treating blood as (i) single-phase Herschel-Bulkley fluid model and (ii) two-phase Herschel-Bulkley fluid model. The expressions for various flow quantities obtained by Sankar and Ismail (2010) for single-phase Herschel-Bulkley fluid model and Sankar (2010c) for two-phase Herschel-Bulkley fluid model are used to compute the data for comparing these fluid models in a new flow geometry. It is noted that the plug core radius, wall shear stress and longitudinal impedance to flow are marginally lower for two-phase H-B fluid model than those of the single-phase H-B fluid model. It is found that the velocity decreases significantly with the increase yield stress of the fluid and the reverse behavior is noticed for longitudinal impedance to flow. It is also noticed that the velocity distribution and flow rate are higher for two-phase Herschel-Bulkley fluid model than those of the single-phase Herschel-Bulkley fluid model. It is also recorded that the estimates of the mean velocity increase with the increase of the body acceleration and this behavior is reversed when the stenosis depth increases.

Item Type: Article
Additional Information and Comments: Every effort has been made to contact JAFM but in the absence of any policy direction, this item Sankar, D. S., Nagar, A. K., & Kumar, A. V. (2015). Mathematical Analysis of Single and Two-Phase Flow of Blood in Narrow Arteries with Multiple Contrictions. Journal of Applied Fluid Mechanics, 8(4). has been uploaded to Liverpool Hope Institutional Research Archive (HIRA). For any concerns or to ask for its removal please contact askalibrarian@hope.ac.uk
Keywords: Blood flow; Single-phase fluid flow; Two-phase fluid flow; Body acceleration; Multiple-stenoses; Comparative study.
Faculty / Department: Faculty of Science > Mathematics and Computer Science
Depositing User: Atulya Nagar
Date Deposited: 03 Jun 2016 11:40
Last Modified: 22 Aug 2017 11:28
URI: http://hira.hope.ac.uk/id/eprint/1072

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