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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board Member: Armbruster, Dieter / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

8 Issues per year


IMPACT FACTOR 2016: 0.890

CiteScore 2016: 0.84

SCImago Journal Rank (SJR) 2016: 0.251
Source Normalized Impact per Paper (SNIP) 2016: 0.624

Mathematical Citation Quotient (MCQ) 2016: 0.07

Online
ISSN
2191-0294
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Volume 14, Issue 6 (Oct 2013)

Issues

Biomechanical Analysis of Eyring Prandtl Fluid Model for Blood Flow in Stenosed Arteries

Noreen Sher Akbar / S. Nadeem / Changhoon Lee
Published Online: 2013-08-28 | DOI: https://doi.org/10.1515/ijnsns-2012-0062

Abstract

In this article, we have examined biomechanical analysis of Eyring Prandtl fluid model for blood flow in stenosed arteries. Blood flow in arteries is an important phenomenon from biological and medical point of view. No one can survive without blood flow in tapered arteries. Blood flow is the continuous running of blood in the cardiovascular system. The human body is made up of several processes all carrying out various functions. We have the gastrointestinal system which aids the digestion and the absorption of food. We also have the respiratory system which is responsible for the absorption of O2 and elimination of CO2. The urinary system removes waste from the body. The cardiovascular system helps to distribute food, O2 and other products of metabolism. The reproductive system is responsible for perpetuating the species. The nervous and endocrine system is responsible for coordinating the integration and functions of other system. The equations govern the flow for considered model are presented in cylindrical coordinates. Perturbation solutions are developed in terms of small Eyring Prandtl fluid parameter β for the velocity, impedance resistance, wall shear stress and shearing stress at the stenosis throat. Three types of arteries i.e converging, diverging and non-tapered arteries have been considered for the analysis and discussion. Graphical results have been presented for different physical parameters of the flow problem. Streamlines have been plotted at the end of the article. We observed that due to increase in Eyring Prandtl fluid parameter α, β the stenosis shape n and maximum height of the stenosis δ the velocity profile increases.

Keywords: blood flow; Eyring-Prandtl fluid; tapered stenosed arteries; perturbation solution

About the article

Received: 2012-04-03

Accepted: 2013-06-12

Published Online: 2013-08-28

Published in Print: 2013-10-25


Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2012-0062.

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©[2013] by Walter de Gruyter Berlin Boston. Copyright Clearance Center

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Arif Hussain, M.Y. Malik, M. Awais, T. Salahuddin, and S. Bilal
Neural Computing and Applications, 2017
[2]
Noreen Sher Akbar
Alexandria Engineering Journal, 2016, Volume 55, Number 1, Page 321
[3]
Noreen Sher Akbar
International Journal of Biomathematics, 2016, Volume 09, Number 01, Page 1650002
[4]
A.M. Siddiqui, A. Walait, T. Haroon, and A.R. Ansari
Canadian Journal of Physics, 2014, Volume 92, Number 11, Page 1441

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