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


Autoria(s): Kraenkel, Roberto André; Noubissie, S.; Woafo, P.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

15/12/2007

Resumo

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. (c) 2007 Elsevier B.V. All rights reserved.

Formato

131-140

Identificador

http://dx.doi.org/10.1016/j.physd.2007.08.001

Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 236, n. 2, p. 131-140, 2007.

0167-2789

http://hdl.handle.net/11449/23462

10.1016/j.physd.2007.08.001

WOS:000251500500005

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Physica D: Nonlinear Phenomena

Direitos

closedAccess

Palavras-Chave #elastic tubes #nonlinear waves propagation #arterial blood flow #reflection phenomenon
Tipo

info:eu-repo/semantics/article