Wave propagation in a thin-walled liquid-filled initially stressed tube

Wave propagation through a thin-walled cylindrical orthotropic viscoelastic initially stressed tube filled with a Newtonian fluid is discussed. Special attention is drawn to the influence of the initial stretch on the wave propagation. It is shown that initial stretching of real arteries enhances th...

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Bibliographic Details
Published in:Journal of fluid mechanics 1984-04, Vol.141, p.289-308
Main Author: Kuiken, G. D. C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
flow of liquids
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Physics
tubes
viscoelasticity
wave propagation
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Summary:Wave propagation through a thin-walled cylindrical orthotropic viscoelastic initially stressed tube filled with a Newtonian fluid is discussed. Special attention is drawn to the influence of the initial stretch on the wave propagation. It is shown that initial stretching of real arteries enhances the propagation of blood pressure pulses in mammalian arteries. The dispersion equation for the initial-value problem of a semi-infinite tube is also derived. It is shown that the speed of propagation and the attenuation vary with the distance from the support. The results obtained for the axial wave mode provide an explanation for the experimental observations, which is not possible with the results obtained for the infinite tube.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112084000859