Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition
The present numerical study deals with a mathematical model representing mass transfer in blood flow under stenotic condition. Streaming blood is considered as a non-Newtonian fluid characterized by Carreau fluid model and the vessel wall is taken to be flexible. The nonlinear pulsatile flow phenome...
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Isfahan University of Technology
2021-01-01
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doaj-9910256b22b043c0a9d48847f8f447562021-01-11T08:24:55ZengIsfahan University of Technology Journal of Applied Fluid Mechanics1735-35722021-01-01143805817.Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic ConditionSu Mukhopadhyay0M. Shankar Mandal1Sw. Mukhopadhyay2Department of Mathematics, Acharya P. C. Roy Govt. College, Siliguri, W.B., IndiaDepartment of Mathematics, G.G.D.C at Kalna-I, Purba Bardhaman-713405, W.B., IndiaDepartment of Mathematics, The University of Burdwan, Burdwan-713104, W.B., IndiaThe present numerical study deals with a mathematical model representing mass transfer in blood flow under stenotic condition. Streaming blood is considered as a non-Newtonian fluid characterized by Carreau fluid model and the vessel wall is taken to be flexible. The nonlinear pulsatile flow phenomenon is governed by the Navier-Stokes equations together with the continuity equation while that of mass transfer is governed by the convection-diffusion equation coupled with the velocity field. A finite difference scheme is developed to solve these equations accompanied bysuitable initial and boundary conditions. Results obtained are examined for numerical stability up to wanted degree of correctness. Various significant hemodynamic parameters are examined for additional qualitative insight of the flow-field and concentration-field over the entire arterial segment with the help of the obtained numerical results. Comparisons are made with the available results in open literature and good agreement has been achieved between these two results. Comparisons have been made to understand the effects of viscosity models for Newtonian and non-Newtonian fluids and also for rigid and flexible arteries.http://jafmonline.net/JournalArchive/download?file_ID=55142&issue_ID=1012non-newtonian fluid; carreau fluid model; pulsatile flow; mass transfer; flexible artery. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Su Mukhopadhyay M. Shankar Mandal Sw. Mukhopadhyay |
spellingShingle |
Su Mukhopadhyay M. Shankar Mandal Sw. Mukhopadhyay Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition Journal of Applied Fluid Mechanics non-newtonian fluid; carreau fluid model; pulsatile flow; mass transfer; flexible artery. |
author_facet |
Su Mukhopadhyay M. Shankar Mandal Sw. Mukhopadhyay |
author_sort |
Su Mukhopadhyay |
title |
Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition |
title_short |
Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition |
title_full |
Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition |
title_fullStr |
Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition |
title_full_unstemmed |
Numerical Simulation of Mass Transfer in Pulsatile Flow of Blood Characterized by Carreau Model under Stenotic Condition |
title_sort |
numerical simulation of mass transfer in pulsatile flow of blood characterized by carreau model under stenotic condition |
publisher |
Isfahan University of Technology |
series |
Journal of Applied Fluid Mechanics |
issn |
1735-3572 |
publishDate |
2021-01-01 |
description |
The present numerical study deals with a mathematical model representing mass transfer in blood flow under stenotic condition. Streaming blood is considered as a non-Newtonian fluid characterized by Carreau fluid model and the vessel wall is taken to be flexible. The nonlinear pulsatile flow phenomenon is governed by the Navier-Stokes equations together with the continuity equation while that of mass transfer is governed by the convection-diffusion equation coupled with the velocity field. A finite difference scheme is developed to solve these equations accompanied bysuitable initial and boundary conditions. Results obtained are examined for numerical stability up to wanted degree of correctness. Various significant hemodynamic parameters are examined for additional qualitative insight of the flow-field and concentration-field over the entire arterial segment with the help of the obtained numerical results. Comparisons are made with the available results in open literature and good agreement has been achieved between these two results. Comparisons have been made to understand the effects of viscosity models for Newtonian and non-Newtonian fluids and also for rigid and flexible arteries. |
topic |
non-newtonian fluid; carreau fluid model; pulsatile flow; mass transfer; flexible artery. |
url |
http://jafmonline.net/JournalArchive/download?file_ID=55142&issue_ID=1012 |
work_keys_str_mv |
AT sumukhopadhyay numericalsimulationofmasstransferinpulsatileflowofbloodcharacterizedbycarreaumodelunderstenoticcondition AT mshankarmandal numericalsimulationofmasstransferinpulsatileflowofbloodcharacterizedbycarreaumodelunderstenoticcondition AT swmukhopadhyay numericalsimulationofmasstransferinpulsatileflowofbloodcharacterizedbycarreaumodelunderstenoticcondition |
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