Solitary wave modulation in an artery with stenosis filled with a viscous fluid

• Main Authors: Yaan, Yee Choy, Kim, Gaik Tay, Chee, Tiong Ong
• Format: Article
• Language: English
• Published: 2013
• Subjects: QA801-939 Analytic mechanics
• 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
• Institution: Universiti Tun Hussein Onn Malaysia

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.