A mathematical model for wave propagation in elastic tubes with inhomogeneities: Application to blood waves propagation

Autor:	S. Noubissie, Paul Woafo, Roberto André Kraenkel
Rok vydání:	2007
Předmět:	Physics Classical mechanics Mathematical model Wave propagation Inviscid flow Statistical and Nonlinear Physics Rigidity (psychology) Tube (fluid conveyance) Mechanics Condensed Matter Physics Space (mathematics) Focus (optics) System of linear equations
Zdroj:	Physica D: Nonlinear Phenomena. 236:131-140
ISSN:	0167-2789
DOI:	10.1016/j.physd.2007.08.001
Popis:	We study the propagation of waves in an elastic tube filled with an inviscid fluid. We consider the case of inhomogeneity whose mechanical and geometrical properties vary in space. We deduce a system of equations of the Boussinesq type as describing the wave propagation in the tube. Numerical simulations of these equations show that inhomogeneities prevent separation of right-going from left-going waves.Then reflected and transmitted coefficients are obtained in the case of localized constriction and localized rigidity. Next we focus on wavetrains incident on various types of anomalous regions. We show that the existence of anomalous regions modifies the wavetrain patterns.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6be4c401b823de8b96ff43e47f8436b0 https://doi.org/10.1016/j.physd.2007.08.001 Zobrazit plný text záznamu Full Text from ScienceDirect