Modulation of Nonlinear Waves in an Inviscid Fluid (Blood) Contained in a Stenosed Artery
In this study, we have contributed to the derivation of mathematical model for the nonlinear waves modulation in an artery with the presence of a stenosis. Assume that the artery as an incompressible, prestressed thin walled elastic tube with a symmetrical stenosis and the blood as an incompress...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
HIKARI Ltd,
2013
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1808/1/J12094_e19eac29975df9692c957b515492194f.pdf |
| _version_ | 1825709607588200448 |
|---|---|
| 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, we have contributed to the derivation of mathematical
model for the nonlinear waves modulation in an artery with the presence
of a stenosis. Assume that the artery as an incompressible, prestressed
thin walled elastic tube with a symmetrical stenosis and the blood as
an incompressible inviscid fluid. Such a combination of a solid and
fluid is considered to be a model for blood flow in a stenosed artery.
By employing the nonlinear equations of tube and fluid as well as the knowledge of reductive perturbation method, we obtained the nonlinear
Schr¨odinger (NLS) equation with variable coefficient as the governing
equation for this model. Our results show that the solitary wave with the
amplitude of one unit propagates to the left as travelling wave profile,
ξ increases by preserving its bell-shape wave. As might be expected
from physical consideration, the wave speed reaches its maximum value
at the center of the stenosis and gets smaller and smaller as goes away
from the center of the stenosis. |
| first_indexed | 2024-03-05T21:41:08Z |
| format | Article |
| id | uthm.eprints-1808 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:41:08Z |
| publishDate | 2013 |
| publisher | HIKARI Ltd, |
| record_format | dspace |
| spelling | uthm.eprints-18082021-10-18T03:08:20Z http://eprints.uthm.edu.my/1808/ Modulation of Nonlinear Waves in an Inviscid Fluid (Blood) Contained in a Stenosed Artery Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong QA801-939 Analytic mechanics In this study, we have contributed to the derivation of mathematical model for the nonlinear waves modulation in an artery with the presence of a stenosis. Assume that the artery as an incompressible, prestressed thin walled elastic tube with a symmetrical stenosis and the blood as an incompressible inviscid fluid. Such a combination of a solid and fluid is considered to be a model for blood flow in a stenosed artery. By employing the nonlinear equations of tube and fluid as well as the knowledge of reductive perturbation method, we obtained the nonlinear Schr¨odinger (NLS) equation with variable coefficient as the governing equation for this model. Our results show that the solitary wave with the amplitude of one unit propagates to the left as travelling wave profile, ξ increases by preserving its bell-shape wave. As might be expected from physical consideration, the wave speed reaches its maximum value at the center of the stenosis and gets smaller and smaller as goes away from the center of the stenosis. HIKARI Ltd, 2013 Article PeerReviewed text en http://eprints.uthm.edu.my/1808/1/J12094_e19eac29975df9692c957b515492194f.pdf Yaan, Yee Choy and Kim, Gaik Tay and Chee, Tiong Ong (2013) Modulation of Nonlinear Waves in an Inviscid Fluid (Blood) Contained in a Stenosed Artery. Applied Mathematical Sciences, 7 (2013). pp. 5003-5012. |
| spellingShingle | QA801-939 Analytic mechanics Yaan, Yee Choy Kim, Gaik Tay Chee, Tiong Ong Modulation of Nonlinear Waves in an Inviscid Fluid (Blood) Contained in a Stenosed Artery |
| title | Modulation of Nonlinear Waves in an Inviscid
Fluid (Blood) Contained in a Stenosed Artery |
| title_full | Modulation of Nonlinear Waves in an Inviscid
Fluid (Blood) Contained in a Stenosed Artery |
| title_fullStr | Modulation of Nonlinear Waves in an Inviscid
Fluid (Blood) Contained in a Stenosed Artery |
| title_full_unstemmed | Modulation of Nonlinear Waves in an Inviscid
Fluid (Blood) Contained in a Stenosed Artery |
| title_short | Modulation of Nonlinear Waves in an Inviscid
Fluid (Blood) Contained in a Stenosed Artery |
| title_sort | modulation of nonlinear waves in an inviscid fluid blood contained in a stenosed artery |
| topic | QA801-939 Analytic mechanics |
| url | http://eprints.uthm.edu.my/1808/1/J12094_e19eac29975df9692c957b515492194f.pdf |
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