Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses

The simultaneous effect of flexible wall and multiple stenoses on the flow and mass transfer of blood is investigated through numerical computation and simulations. The solution is obtained using the Marker and Cell technique on an axisymmetric model of Newtonian blood flow. The results compare favo...

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Main Authors: Reima D. Alsemiry, Sarifuddin, Prashanta K. Mandal, Hamed M. Sayed, Norsarahaida Amin
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:BioMed Research International
Online Access:http://dx.doi.org/10.1155/2020/7609562
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spelling doaj-26a3e42b170b4139b9b5fdd705ff13552020-11-25T02:04:52ZengHindawi LimitedBioMed Research International2314-61332314-61412020-01-01202010.1155/2020/76095627609562Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple StenosesReima D. Alsemiry0Sarifuddin1Prashanta K. Mandal2Hamed M. Sayed3Norsarahaida Amin4Department of Mathematics, Faculty of Science, Taibah University, P.O. Box 89, Yanbu 41911, Saudi ArabiaDepartment of Mathematics, Berhampore College, Baharampur 742101, West Bengal, IndiaDepartment of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, IndiaDepartment of Mathematics, Faculty of Science, Taibah University, P.O. Box 89, Yanbu 41911, Saudi ArabiaDepartment of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, MalaysiaThe simultaneous effect of flexible wall and multiple stenoses on the flow and mass transfer of blood is investigated through numerical computation and simulations. The solution is obtained using the Marker and Cell technique on an axisymmetric model of Newtonian blood flow. The results compare favorably with physical observations where the pulsatile boundary condition and double stenoses result in a higher pressure drop across the stenoses. The streamlines, the iso-concentration lines, the Sherwood number, and the mass concentration variations along the entire wall segment provide a comprehensive analysis of the mass transport characteristics. The double stenoses and pulsatile inlet conditions increase the number of recirculation regions and effect a higher mass transfer rate at the throat, whereby more mass is expected to accumulate and cause further stenosis.http://dx.doi.org/10.1155/2020/7609562
collection DOAJ
language English
format Article
sources DOAJ
author Reima D. Alsemiry
Sarifuddin
Prashanta K. Mandal
Hamed M. Sayed
Norsarahaida Amin
spellingShingle Reima D. Alsemiry
Sarifuddin
Prashanta K. Mandal
Hamed M. Sayed
Norsarahaida Amin
Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
BioMed Research International
author_facet Reima D. Alsemiry
Sarifuddin
Prashanta K. Mandal
Hamed M. Sayed
Norsarahaida Amin
author_sort Reima D. Alsemiry
title Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
title_short Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
title_full Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
title_fullStr Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
title_full_unstemmed Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses
title_sort numerical solution of blood flow and mass transport in an elastic tube with multiple stenoses
publisher Hindawi Limited
series BioMed Research International
issn 2314-6133
2314-6141
publishDate 2020-01-01
description The simultaneous effect of flexible wall and multiple stenoses on the flow and mass transfer of blood is investigated through numerical computation and simulations. The solution is obtained using the Marker and Cell technique on an axisymmetric model of Newtonian blood flow. The results compare favorably with physical observations where the pulsatile boundary condition and double stenoses result in a higher pressure drop across the stenoses. The streamlines, the iso-concentration lines, the Sherwood number, and the mass concentration variations along the entire wall segment provide a comprehensive analysis of the mass transport characteristics. The double stenoses and pulsatile inlet conditions increase the number of recirculation regions and effect a higher mass transfer rate at the throat, whereby more mass is expected to accumulate and cause further stenosis.
url http://dx.doi.org/10.1155/2020/7609562
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