Nonlinear wave modulation in a fluid-filled thin elastic stenosed artery

Choy, Yaan Yee (2014) Nonlinear wave modulation in a fluid-filled thin elastic stenosed artery. PhD thesis, Universiti Teknologi Malaysia.

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Abstract

The aim of this research is to study the modulation of nonlinear wave in a stenosed artery ¯lled with blood. The artery is simulated as an incompressible, stenosed, thin-walled elastic tube. By considering the blood as an incompressible average inviscid °uid, average viscous °uid, full inviscid °uid and full viscous °uid, four mathematical models of nonlinear wave modulation in a stenosed artery are formed. The average inviscid and average viscous °uids correspond to the approximate equations of inviscid and viscous °uids. The full inviscid and full viscous °uids correspond to the exact equations of inviscid and viscous °uids. By solving a set of nonlinear evolution equations of tube and °uid, the modulation of nonlinear waves in such a composite medium in the long wave approximation is carried out using the reductive perturbation method. The evolution equation is obtained as the nonlinear SchrÄodinger equation with variable coe±cient (NLSVC) for the models of average inviscid and full inviscid °uids. The governing equation for the models of average viscous and full viscous °uids are the dissipative nonlinear SchrÄodinger equation with variable coe±cient (DNLSVC). By seeking the progressive wave solutions to the NLSVC and DNLSVC, it is observed that the solution of NLSVC results in a dark-soliton whereas the solution of DNLSVC produces a dark-soliton propagating with decaying amplitude as the viscous e®ect increases. In order to illustrate the applicability of these four models, quantitative analysis is performed for the variation of wave frequency, wave speed and severity of stenosis of the wave propagation in a stenosed artery and normal artery.

Item Type:Thesis (PhD)
Subjects:Q Science > Q Science (General)
R Medicine > R Medicine (General)
ID Code:7742
Deposited By:En. Sharul Ahmad
Deposited On:08 May 2016 14:59
Last Modified:08 May 2016 14:59

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