SOLITARY WAVE MODULATION IN AN ARTERY WITH STENOSIS FILLED WITH A VISCOUS FLUID | Science Publications

Journal of Mathematics and Statistics

Kim Gaik Tay¹  Chee Tiong Ong¹  Yaan Yee Choy¹ 

关键词: Tube;    Newtonian Fluid;    Wave Modulation;    Nonlinear Schrodinger Equation;   

DOI  :  10.3844/jmssp.2013.256.261

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown