منابع مشابه
Modulation of nonlinear waves in a fluid-filled elastic tube with stenosis
Treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear waves in such a composite system by use of the reductive perturbation method. The governing evolution equation is obtained as the variable-coefficient nonlinear Schrödinger equation. It is observed...
متن کاملInteractions of Nonlinear Waves in Fluid-Filled Elastic Tubes
In this work, treating an artery as a prestressed thin-walled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation by use of the extended PLK (Poincaré-Lighthill-Kuo) perturbation method. The results show that up to O(k3), where k is the wave number, the head-on collision of two soli...
متن کاملNonlinear Wave Modulation in a Fluid-Filled Elastic Tube with Stenosis
In the present work, treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear waves in such a composite system by use of the reductive perturbation method. The governing evolution equation was obtained as the variable coefficient nonlinear Schrödinger (N...
متن کاملGuided Waves Along Fluid-Filled Cracks in Elastic Solids and Instability at High Flow Rates
We characterize wave propagation along an infinitely long crack or conduit in an elastic solid containing a compressible, viscous fluid. Fluid flow is described by quasi-onedimensional mass and momentum balance equations with a barotropic equation of state, and the wall shear stress is written as a general function of width-averaged velocity, density, and conduit width. Our analysis focuses on ...
متن کاملModulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves near the marginal state is examined through the use of reductive perturbation method. It is shown that the amplitude modulation near the marginal state is governed by a generalized nonlinear Schr€ odinger (GNLS) equation. Some exact solutio...
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ژورنال
عنوان ژورنال: Acta Physica Sinica
سال: 2020
ISSN: 1000-3290
DOI: 10.7498/aps.69.20191308