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Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration

A two-dimensional (2D) nonlinear mathematical model to study the response of the pulsatile flow of blood through a couple of irregular stenoses influenced by externally imposed periodic body acceleration is developed. The model is 2D and axisymmetric with an outline of the stenosis obtained from the...

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Main Authors: Mustapha, Norzieha, Chakravarty, Santabrata, Mandal, Prashanta K., Amin, Norsarahaida
Format: Article
Published: World Scientific 2008
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/12792/
http://dx.doi.org/10.1142/S0219519408002723
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spelling my.utm.127922011-06-29T08:27:48Z http://eprints.utm.my/id/eprint/12792/ Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration Mustapha, Norzieha Chakravarty, Santabrata Mandal, Prashanta K. Amin, Norsarahaida QA Mathematics A two-dimensional (2D) nonlinear mathematical model to study the response of the pulsatile flow of blood through a couple of irregular stenoses influenced by externally imposed periodic body acceleration is developed. The model is 2D and axisymmetric with an outline of the stenosis obtained from the three-dimensional (3D) casting of a mildly stenosed artery. The combined influence of an asymmetric shape and surface irregularities of the constrictions is explored in a computational study of blood flow through arterial stenoses with 48% areal occlusion. The arterial wall is treated as an elastic (moving wall) cylindrical tube having a couple of stenoses in its lumen, while the streaming blood is considered to be Newtonian. Solutions of the time-dependent nonlinear Navier-Stokes equations in the cylindrical coordinate system are obtained using a finite difference method based on the nonuniform and nonstaggered grids. The finite difference approximation helps to estimate the effects of body acceleration on the doubly constricted flow phenomena through several graphical representations quantitatively in order to validate the applicability of the present, improved mathematical model. World Scientific 2008 Article PeerReviewed Mustapha, Norzieha and Chakravarty, Santabrata and Mandal, Prashanta K. and Amin, Norsarahaida (2008) Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration. Journal of Mechanics in Medicine and Biology, 8 (3). 395 -420. ISSN 0219-5194 http://dx.doi.org/10.1142/S0219519408002723 doi:10.1142/S0219519408002723
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/
topic QA Mathematics
spellingShingle QA Mathematics
Mustapha, Norzieha
Chakravarty, Santabrata
Mandal, Prashanta K.
Amin, Norsarahaida
Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
description A two-dimensional (2D) nonlinear mathematical model to study the response of the pulsatile flow of blood through a couple of irregular stenoses influenced by externally imposed periodic body acceleration is developed. The model is 2D and axisymmetric with an outline of the stenosis obtained from the three-dimensional (3D) casting of a mildly stenosed artery. The combined influence of an asymmetric shape and surface irregularities of the constrictions is explored in a computational study of blood flow through arterial stenoses with 48% areal occlusion. The arterial wall is treated as an elastic (moving wall) cylindrical tube having a couple of stenoses in its lumen, while the streaming blood is considered to be Newtonian. Solutions of the time-dependent nonlinear Navier-Stokes equations in the cylindrical coordinate system are obtained using a finite difference method based on the nonuniform and nonstaggered grids. The finite difference approximation helps to estimate the effects of body acceleration on the doubly constricted flow phenomena through several graphical representations quantitatively in order to validate the applicability of the present, improved mathematical model.
format Article
author Mustapha, Norzieha
Chakravarty, Santabrata
Mandal, Prashanta K.
Amin, Norsarahaida
author_facet Mustapha, Norzieha
Chakravarty, Santabrata
Mandal, Prashanta K.
Amin, Norsarahaida
author_sort Mustapha, Norzieha
title Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
title_short Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
title_full Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
title_fullStr Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
title_full_unstemmed Unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
title_sort unsteady response of blood flow through a couple of irregular arterial constrictions to body acceleration
publisher World Scientific
publishDate 2008
url http://eprints.utm.my/id/eprint/12792/
http://dx.doi.org/10.1142/S0219519408002723
_version_ 1643646043329396736
score 13.211869

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