A mathematical model for wave propagation in elastic tubes with inhomogeneities: Application to blood waves propagation
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Data
2007-12-15
Autores
Kraenkel, Roberto André [UNESP]
Noubissie, S.
Woafo, P.
Título da Revista
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Editor
Elsevier B.V.
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.
Descrição
Palavras-chave
elastic tubes, nonlinear waves propagation, arterial blood flow, reflection phenomenon
Como citar
Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 236, n. 2, p. 131-140, 2007.