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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1809/1/J12095_bbe428fd7184ddccece40992f0728a74.pdf http://eprints.uthm.edu.my/1809/ https://doi.org/10.3844/jmssp.2013.256.261 |
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| Institution: | Universiti Tun Hussein Onn Malaysia |
| Language: | English |
| Summary: | 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. |
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