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...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
2013
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/34646/1/SitiSarahanimSaadMFS2013.pdf |
| _version_ | 1796857395229491200 |
|---|---|
| author | Saad, Siti Sarahanim |
| author_facet | Saad, Siti Sarahanim |
| author_sort | Saad, Siti Sarahanim |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T18:57:01Z |
| format | Thesis |
| id | utm.eprints-34646 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:57:01Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | utm.eprints-346462017-09-17T01:27:09Z http://eprints.utm.my/34646/ Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation 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 NonPeerReviewed application/pdf en http://eprints.utm.my/34646/1/SitiSarahanimSaadMFS2013.pdf Saad, Siti Sarahanim (2013) Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69304?site_name=Restricted Repository |
| spellingShingle | TP Chemical technology Saad, Siti Sarahanim Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation |
| title | 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_short | 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 |
| topic | TP Chemical technology |
| url | http://eprints.utm.my/34646/1/SitiSarahanimSaadMFS2013.pdf |
| work_keys_str_mv | AT saadsitisarahanim modellingofbloodflowasextendedkortewegdevriesandextendedkortewegdevriesburgersequation |