Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation

Blood is made of four components which are plasma, red blood cells, white blood cells and platelets. Many researchers have considered blood as an ideal fluid and the artery as an elastic tube. Due to complexity of blood deformation, a mathematical description of blood itself has not yet been complet...

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Main Author:	Saad, Siti Sarahanim
Format:	Thesis
Language:	English
Published:	2013
Subjects:	TP Chemical technology
Online Access:	http://eprints.utm.my/id/eprint/34646/1/SitiSarahanimSaadMFS2013.pdf
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spelling	my-utm-ep.346462017-09-17T01:27:09Z Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation 2013-01 Saad, Siti Sarahanim TP Chemical technology Blood is made of four components which are plasma, red blood cells, white blood cells and platelets. Many researchers have considered blood as an ideal fluid and the artery as an elastic tube. Due to complexity of blood deformation, a mathematical description of blood itself has not yet been completely formulated. In this research, we shall consider blood flow in an elastic artery. Our main focus is to model blood flow as KdV and KdVB type equations by using the governing equations and asymptotic series method. Specifically these equations are called the extended KdV (eKdV) and the extended KdVB (eKdVB). The hyperbolic tangent method is used in order to obtain the progressive wave solutions. It is found that for extended KdV equation, when there is no tapering(0)a=, the blood flow follows the KdV model. 2013-01 Thesis http://eprints.utm.my/id/eprint/34646/ http://eprints.utm.my/id/eprint/34646/1/SitiSarahanimSaadMFS2013.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69304?site_name=Restricted Repository masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TP Chemical technology
spellingShingle	TP Chemical technology Saad, Siti Sarahanim Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
description	Blood is made of four components which are plasma, red blood cells, white blood cells and platelets. Many researchers have considered blood as an ideal fluid and the artery as an elastic tube. Due to complexity of blood deformation, a mathematical description of blood itself has not yet been completely formulated. In this research, we shall consider blood flow in an elastic artery. Our main focus is to model blood flow as KdV and KdVB type equations by using the governing equations and asymptotic series method. Specifically these equations are called the extended KdV (eKdV) and the extended KdVB (eKdVB). The hyperbolic tangent method is used in order to obtain the progressive wave solutions. It is found that for extended KdV equation, when there is no tapering(0)a=, the blood flow follows the KdV model.
format	Thesis
qualification_level	Master's degree
author	Saad, Siti Sarahanim
author_facet	Saad, Siti Sarahanim
author_sort	Saad, Siti Sarahanim
title	Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
title_short	Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
title_full	Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
title_fullStr	Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
title_full_unstemmed	Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
title_sort	modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/34646/1/SitiSarahanimSaadMFS2013.pdf
_version_	1747816224944816128

Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation

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