<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A steady flow of a power law fluid through an artery with a stenosis has been analyzed. The equation governing the flow is derived under the assumption of mild stenosis. An exact solution of the governing equation is obtained, which is then used to study the effects of various parameters of interest on axial velocity, resistance to flow and shear stress distribution. It is found that axial velocity increases while resistance to flow decreases when going from shear-thinning to shear-thickening fluid. Moreover, the magnitude of shear stress decreases by increasing the tapering parameter. This problem was already addressed by Nadeem et al. [14], but the results presented by them were erroneous due to a mistake in the derivation of the governing equation of the flow. This mistake is highlighted in the "Formulation of the Problem" section.</p></abstract>

A steady flow of a power law fluid through an artery with a stenosis has been analyzed. The equation governing the flow is derived under the assumption of mild stenosis. An exact solution of the governing equation is obtained, which is then used to study the effects of various parameters of interest on axial velocity, resistance to flow and shear stress distribution. It is found that axial velocity increases while resistance to flow decreases when going from shear-thinning to shear-thickening fluid. Moreover, the magnitude of shear stress decreases by increasing the tapering parameter. This problem was already addressed by Nadeem et al. [14], but the results presented by them were erroneous due to a mistake in the derivation of the governing equation of the flow. This mistake is highlighted in the "Formulation of the Problem" section.

Steady flow of a power law fluid through a tapered non-symmetric stenotic tube

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Steady flow of a power law fluid through a tapered non-symmetric stenotic tube"}

A steady flow of a power law fluid through an artery with a stenosis has been analyzed. The equation governing the flow is derived under the assumption of mild...

Steady flow of a power law fluid through a tapered non-symmetric stenotic tube

Article Category: Papers dedicated to the memory of Valetnin Afraymovich (1945-2018)

Published Online: Jun 28, 2019

Page range: 255 - 266

Received: Oct 31, 2019

Accepted: Dec 19, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00022

Keywords
Stenotic tube, Steady flow, Power law model, Steady flow, Non symmetric

© 2019 Riaz Ahmad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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Steady flow of a power law fluid through a tapered non-symmetric stenotic tube

Article Category: Papers dedicated to the memory of Valetnin Afraymovich (1945-2018)

Published Online: Jun 28, 2019

Page range: 255 - 266

Received: Oct 31, 2019

Accepted: Dec 19, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00022

KeywordsStenotic tube, Steady flow, Power law model, Steady flow, Non symmetric

© 2019 Riaz Ahmad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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Keywords
Stenotic tube, Steady flow, Power law model, Steady flow, Non symmetric