Wave propagation and reflection in liquid filled distensible tube systems exhibiting dissipation and dispersion
type: Item
instance of: scholarly article
title: Wave propagation and reflection in liquid filled distensible tube systems exhibiting dissipation and dispersion
zbMATH Open document ID: 0605.76049
DOI: 10.1007/BF01181661
author: D. W. Barclay
author: T. Bryant Moodie
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: In a previous paper [the authors, \textit{S. E. Greenwald} and \textit{D. L. Newman}, ibid. 54, 107-119 (1984)] the present authors developed a model describing wave propagation in liquid filled distensible tubes and tested it against impulse experiments involving water filled latex rubber tubes. This model incorporates both dissipative and dispersive mechanism which are absent from the commonly employed linear long wavelength theory of haemodynamics. This higher order theory is here employed to study propagation of an impulse in a semi infinite tube, reflection of an impulse from the distal end of a finite length tube, and reflection and transmission of impulses impinging on a junction connecting dissimilar liquid filled tubes. Both open and closed type reflections are treated and numerical results presented graphically. To the best of our knowledge this is the first time that such a higher order theory has been employed to treat reflection and transmission of waves in tube systems.
Mathematics Subject Classification ID: 76D33
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3978641
zbMATH Keywords: wave propagation
zbMATH Keywords: liquid filled distensible tubes
zbMATH Keywords: impulse experiments
zbMATH Keywords: water filled latex rubber tubes
zbMATH Keywords: linear long wavelength theory of haemodynamics
zbMATH Keywords: semi infinite tube
MaRDI profile type: Publication
cites work: Q4154221
cites work: The Fluid Mechanics of Large Blood Vessels
cites work: Impulse propagation in liquid filled distensible tubes: Theory and experiment for intermediate to long wavelengths
cites work: Q3703455
cites work: Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
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description: scientific article; zbMATH DE number 3978641