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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2020-01-01
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Series: | BioMed Research International |
Online Access: | http://dx.doi.org/10.1155/2020/7609562 |
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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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