Solitary wave modulation in an artery with stenosis filled with a viscous fluid
In this study, the derivation of mathematical model for the wave modulation through an incompressible viscous fluid contained in a prestressed thin stenosed elastic tube is presented. The artery is assumed to be incompressible, prestressed thin walled elastic tube with a symmetrical stenosis, wher...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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2013
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| Online Access: | http://eprints.uthm.edu.my/1809/1/J12095_bbe428fd7184ddccece40992f0728a74.pdf |
| _version_ | 1825709607783235584 |
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| author | Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong |
| author_facet | Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong |
| author_sort | Yaan, Yee Choy |
| collection | UTHM |
| description | In this study, the derivation of mathematical model for the wave modulation through an incompressible
viscous fluid contained in a prestressed thin stenosed elastic tube is presented. The artery is assumed to be
incompressible, prestressed thin walled elastic tube with a symmetrical stenosis, whereas the blood is
considered to be incompressible and Newtonian fluid. By utilizing the nonlinear equations of tube and fluid,
the weakly nonlinear wave modulation in such a medium is examined. Employing the reductive
perturbation method and considering the long-wave approximation, we showed that the third-order term in
the perturbation expansion is governed by the dissipative nonlinear Schrodinger equation with variable
coefficient. Our results shown that this type of equation admits a downward bell-shape wave propagates to
the right as time increases with decreasing wave amplitude. |
| first_indexed | 2024-03-05T21:41:09Z |
| format | Article |
| id | uthm.eprints-1809 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:41:09Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | uthm.eprints-18092021-10-18T03:08:50Z http://eprints.uthm.edu.my/1809/ Solitary wave modulation in an artery with stenosis filled with a viscous fluid Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong QA801-939 Analytic mechanics In this study, the derivation of mathematical model for the wave modulation through an incompressible viscous fluid contained in a prestressed thin stenosed elastic tube is presented. The artery is assumed to be incompressible, prestressed thin walled elastic tube with a symmetrical stenosis, whereas the blood is considered to be incompressible and Newtonian fluid. By utilizing the nonlinear equations of tube and fluid, the weakly nonlinear wave modulation in such a medium is examined. Employing the reductive perturbation method and considering the long-wave approximation, we showed that the third-order term in the perturbation expansion is governed by the dissipative nonlinear Schrodinger equation with variable coefficient. Our results shown that this type of equation admits a downward bell-shape wave propagates to the right as time increases with decreasing wave amplitude. 2013 Article PeerReviewed text en http://eprints.uthm.edu.my/1809/1/J12095_bbe428fd7184ddccece40992f0728a74.pdf Yaan, Yee Choy and Kim, Gaik Tay and Chee, Tiong Ong (2013) Solitary wave modulation in an artery with stenosis filled with a viscous fluid. Journal of Mathematics and Statistics, 9 (3). pp. 256-261. ISSN 1549-3644 https://doi.org/10.3844/jmssp.2013.256.261 |
| spellingShingle | QA801-939 Analytic mechanics Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong Solitary wave modulation in an artery with stenosis filled with a viscous fluid |
| title | Solitary wave modulation in an artery with
stenosis filled with a viscous fluid |
| title_full | Solitary wave modulation in an artery with
stenosis filled with a viscous fluid |
| title_fullStr | Solitary wave modulation in an artery with
stenosis filled with a viscous fluid |
| title_full_unstemmed | Solitary wave modulation in an artery with
stenosis filled with a viscous fluid |
| title_short | Solitary wave modulation in an artery with
stenosis filled with a viscous fluid |
| title_sort | solitary wave modulation in an artery with stenosis filled with a viscous fluid |
| topic | QA801-939 Analytic mechanics |
| url | http://eprints.uthm.edu.my/1809/1/J12095_bbe428fd7184ddccece40992f0728a74.pdf |
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