Modulation of Nonlinear Waves in an Inviscid Fluid (Blood) Contained in a Stenosed Artery

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.

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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.

Item Type: Article
Uncontrolled Keywords: Artery; stenosis; blood; wave modulation; wave speed
Subjects: Q Science > QA Mathematics > QA801-939 Analytic mechanics
Depositing User: Mr. Abdul Rahim Mat Radzuan
Date Deposited: 18 Oct 2021 03:08
Last Modified: 18 Oct 2021 03:08

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