Pressure flow of a second grade fluid through a channel of varying width with application to stenosed artery

A. M. Siddiqui; T. Haroon; Z. Bano; S. Islam

doi:10.1142/S1793524513500162

Pressure flow of a second grade fluid through a channel of varying width with application to stenosed artery

A. M. Siddiqui, T. Haroon, Z. Bano, S. Islam

Penn State York

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Analytical solutions are obtained for steady flow of an incompressible second grade fluid in an axisymmetric channel of varying width. Three approximate methods are used depending upon three different geometrical configuration. The results obtained are applied to study the flow of a second grade fluid through a smooth constriction. To understand the flow behavior near stenosis, resistance to the flow, shear stress at the wall and stress at the stenosis throat are calculated. The results obtained are numerically evaluated for different values of dimensionless non-Newtonian parameters λ₁ and λ₂ and maximum height of the stenosis δ_m. It is observed that as we increase the value of these parameters the resistance to the flow, wall shear stress and stress at the stenosis throat increase.

Original language	English (US)
Article number	1350016
Journal	International Journal of Biomathematics
Volume	6
Issue number	3
DOIs	https://doi.org/10.1142/S1793524513500162
State	Published - May 2013

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Applied Mathematics

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10.1142/S1793524513500162

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title = "Pressure flow of a second grade fluid through a channel of varying width with application to stenosed artery",

abstract = "Analytical solutions are obtained for steady flow of an incompressible second grade fluid in an axisymmetric channel of varying width. Three approximate methods are used depending upon three different geometrical configuration. The results obtained are applied to study the flow of a second grade fluid through a smooth constriction. To understand the flow behavior near stenosis, resistance to the flow, shear stress at the wall and stress at the stenosis throat are calculated. The results obtained are numerically evaluated for different values of dimensionless non-Newtonian parameters λ1 and λ2 and maximum height of the stenosis δm. It is observed that as we increase the value of these parameters the resistance to the flow, wall shear stress and stress at the stenosis throat increase.",

author = "Siddiqui, {A. M.} and T. Haroon and Z. Bano and S. Islam",

note = "Funding Information: One of the authors, Z. Bano is very thankful to Higher Education Commission (HEC) of Pakistan for funding in her higher studies under the 5000 indigenous scholarship scheme Batch-IV.",

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T1 - Pressure flow of a second grade fluid through a channel of varying width with application to stenosed artery

AU - Siddiqui, A. M.

AU - Haroon, T.

AU - Bano, Z.

AU - Islam, S.

N1 - Funding Information: One of the authors, Z. Bano is very thankful to Higher Education Commission (HEC) of Pakistan for funding in her higher studies under the 5000 indigenous scholarship scheme Batch-IV.

PY - 2013/5

Y1 - 2013/5

N2 - Analytical solutions are obtained for steady flow of an incompressible second grade fluid in an axisymmetric channel of varying width. Three approximate methods are used depending upon three different geometrical configuration. The results obtained are applied to study the flow of a second grade fluid through a smooth constriction. To understand the flow behavior near stenosis, resistance to the flow, shear stress at the wall and stress at the stenosis throat are calculated. The results obtained are numerically evaluated for different values of dimensionless non-Newtonian parameters λ1 and λ2 and maximum height of the stenosis δm. It is observed that as we increase the value of these parameters the resistance to the flow, wall shear stress and stress at the stenosis throat increase.

AB - Analytical solutions are obtained for steady flow of an incompressible second grade fluid in an axisymmetric channel of varying width. Three approximate methods are used depending upon three different geometrical configuration. The results obtained are applied to study the flow of a second grade fluid through a smooth constriction. To understand the flow behavior near stenosis, resistance to the flow, shear stress at the wall and stress at the stenosis throat are calculated. The results obtained are numerically evaluated for different values of dimensionless non-Newtonian parameters λ1 and λ2 and maximum height of the stenosis δm. It is observed that as we increase the value of these parameters the resistance to the flow, wall shear stress and stress at the stenosis throat increase.

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Pressure flow of a second grade fluid through a channel of varying width with application to stenosed artery

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