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A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis

A Stabilized Form Of Finite Element Formulation Known As The Galerkin Least-Squares (Gls) Method Is Implemented Here For Solving The Two-Dimensional Incompressible Non-Newtonian Fluid Model Of Blood Flow In A Diseased Artery. The Modelling For This Type Of Flow Is Based On The Conservation Of Mass A...

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Main Authors: Mohd. Zain, Norliza, Ismail, Zuhaila, Johnston, Peter
Format: Article
Language:English
Published: Penerbit Akademia Baru 2021
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/94822/1/NorlizaMohd2021_AStabilizedFiniteElementFormulation.pdf
http://eprints.utm.my/id/eprint/94822/
http://dx.doi.org/10.37934/arfmts.88.1.126139
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spelling my.utm.948222022-04-29T22:27:33Z http://eprints.utm.my/id/eprint/94822/ A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis Mohd. Zain, Norliza Ismail, Zuhaila Johnston, Peter QA Mathematics A Stabilized Form Of Finite Element Formulation Known As The Galerkin Least-Squares (Gls) Method Is Implemented Here For Solving The Two-Dimensional Incompressible Non-Newtonian Fluid Model Of Blood Flow In A Diseased Artery. The Modelling For This Type Of Flow Is Based On The Conservation Of Mass And Momentum Equations, Coupled With The Generalised Newtonian Liquid (Gnl) Constitutive Equation Characterized By The Generalised Power Law (Gpl) Model. The Flow Of Blood In This Present Study Are Assumed As Steady, Laminar And Fully Developed. The Finite Element Algorithms Considered Herein Are First Solved For The Newtonian Fluid In A Straight Artery With A Bell Shaped Stenosis For Validation Purposes. As The Efficiency And Validity Of The Proposed Algorithms Are Obtained Through Comparison With The Findings From Existing Literature And Comsol Multiphysics 5.2 Software. Then, The Algorithms Are Being Implemented To The Generalised Power Law Fluid Model Of Blood Flow In A Bifurcated Artery With Overlapping Stenosis Located At The Parent's Arterial Lumen. The Numerical Results Illustrate The Arising Of Distinct Sizes Of Vortex Shedding Downstream Of The Stenotic Region For Each Generalised Power Law Index . Penerbit Akademia Baru 2021-12 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/94822/1/NorlizaMohd2021_AStabilizedFiniteElementFormulation.pdf Mohd. Zain, Norliza and Ismail, Zuhaila and Johnston, Peter (2021) A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 88 (1). pp. 126-138. ISSN 2289-7879 http://dx.doi.org/10.37934/arfmts.88.1.126139 DOI:10.37934/arfmts.88.1.126139
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mohd. Zain, Norliza
Ismail, Zuhaila
Johnston, Peter
A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
description A Stabilized Form Of Finite Element Formulation Known As The Galerkin Least-Squares (Gls) Method Is Implemented Here For Solving The Two-Dimensional Incompressible Non-Newtonian Fluid Model Of Blood Flow In A Diseased Artery. The Modelling For This Type Of Flow Is Based On The Conservation Of Mass And Momentum Equations, Coupled With The Generalised Newtonian Liquid (Gnl) Constitutive Equation Characterized By The Generalised Power Law (Gpl) Model. The Flow Of Blood In This Present Study Are Assumed As Steady, Laminar And Fully Developed. The Finite Element Algorithms Considered Herein Are First Solved For The Newtonian Fluid In A Straight Artery With A Bell Shaped Stenosis For Validation Purposes. As The Efficiency And Validity Of The Proposed Algorithms Are Obtained Through Comparison With The Findings From Existing Literature And Comsol Multiphysics 5.2 Software. Then, The Algorithms Are Being Implemented To The Generalised Power Law Fluid Model Of Blood Flow In A Bifurcated Artery With Overlapping Stenosis Located At The Parent's Arterial Lumen. The Numerical Results Illustrate The Arising Of Distinct Sizes Of Vortex Shedding Downstream Of The Stenotic Region For Each Generalised Power Law Index .
format Article
author Mohd. Zain, Norliza
Ismail, Zuhaila
Johnston, Peter
author_facet Mohd. Zain, Norliza
Ismail, Zuhaila
Johnston, Peter
author_sort Mohd. Zain, Norliza
title A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
title_short A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
title_full A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
title_fullStr A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
title_full_unstemmed A stabilized finite element formulation of non-Newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
title_sort stabilized finite element formulation of non-newtonian fluid model of blood flow in a bifurcated channel with overlapping stenosis
publisher Penerbit Akademia Baru
publishDate 2021
url http://eprints.utm.my/id/eprint/94822/1/NorlizaMohd2021_AStabilizedFiniteElementFormulation.pdf
http://eprints.utm.my/id/eprint/94822/
http://dx.doi.org/10.37934/arfmts.88.1.126139
_version_ 1732945398337634304
score 13.211869

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