Modulation of non-linear wave in a fluid-filled thick elastic tube
This research presents an analytical study on the wave modulation flow in an artery. The artery is simulated as an incompressible, isotropic, and thick walled elastic tube. By considering blood as an incompressible inviscid fluid or incompressible viscous fluid, two mathematical models of non-...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English English English English |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1117/1/MODULATION%20OF%20NON-LINEAR%20WAVE%20IN%20A%20FLUID-FILLED%20THICK%20ELASTIC%20TUBE.pdf http://eprints.uthm.edu.my/1117/2/24p%20NUR%20FARA%20ADILA%20AHMAD.pdf http://eprints.uthm.edu.my/1117/3/NUR%20FARA%20ADILA%20AHMAD%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/1117/4/NUR%20FARA%20ADILA%20AHMAD%20WATERMARK.pdf http://eprints.uthm.edu.my/1117/ |
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| Summary: | This research presents an analytical study on the wave modulation flow in an artery.
The artery is simulated as an incompressible, isotropic, and thick walled elastic tube.
By considering blood as an incompressible inviscid fluid or incompressible viscous
fluid, two mathematical models of non-linear wave modulation in a thick elastic tube
were developed. The modulation of the non-linear wave in the long wave
approximation was investigated using the reductive perturbation method. The
governing equation for the incompressible inviscid fluid model was shown to be the
non-linear Schrodinger equation (NLSE). As the dissipative non-linear Schrodinger
equation (DNLSE), the control equation of the incompressible viscous fluid model
was derived. These governing equations have been sought progressive wave-type
solutions. It is observed that solitary wave type solutions with variable amplitude are
admitted by these two equations. The effects on the blood flow characteristics have
been extracted graphically by radial displacement, radial speed, axial speed, tube
pressure, and hydrostatic pressure. Graphical analysis on wave amplitude variation,
wave width, and wave travel was performed to illustrate the clarification of these two
models towards wave modulation. Results showed that wave propagated smoothly
for the first model, while the second model displayed the wave propagated with
decreasing of wave amplitude. It was found that as the fluid viscosity increased, the
resistance for blood to flow also increased. |
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