Mathematical Analysis of Carreau Fluid Model for Blood Flow In Tapered Constricted Arteries

Sankar, D. S. and Lee, Usik and Nagar, Atulya K. and Maziri bin Dr., Hj Morsidi (2017) Mathematical Analysis of Carreau Fluid Model for Blood Flow In Tapered Constricted Arteries. Journal of the Indian Mathematical Society. ISSN 0019-5839 (Accepted for Publication)

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Abstract

The pulsatile blood flow in tapered asymmetrically constricted narrow artery is investigated, treating the blood as Carreau fluid model. The expressions obtained by Sankar (2016) for various flow quantities are used to analyze the flow in different arterial geometry. It is found that the wall shear stress and longitudinal impedance to flow decrease with the increase of stenosis shape parameter, amplitude of the pulsatile pressure gradient, flow rate, power law index and Weissenberg number. The estimates of the percentage of increase in the wall shear stress and longitudinal impedance to flow increase with the increase of the angle tapering.

Item Type: Article
Additional Information and Comments: This is the author's version of an article, accepted for publication in the Journal of the Indian Mathematical Society. Copyright Indian Mathematical Society.
Keywords: Mathematical model, Perturbation analysis, Pulsatile Blood flow, Carreau fluid
Faculty / Department: Faculty of Science > Mathematics and Computer Science
Depositing User: Atulya Nagar
Date Deposited: 24 Jul 2017 13:09
Last Modified: 24 Jul 2017 13:09
URI: http://hira.hope.ac.uk/id/eprint/2086

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