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• W3013862016 abstract "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. The problem of the propagation of waves through cylindrical tubes filled with 9, fluid has been studied over more than 150 years. It has interested researchers like Young (1808), Helmholtz (1863), Kirchhoff (1868) and Rayleigh (1896). Since then the subject has not lost its attraction, because the problem has bearings on many practical applications. The studies involved deal with the dynamic response of pressure-transmission lines, acoustic-delay lines, acoustic waveguides, water-hammer and pulsatile flow in plastic and rubber tubes used in many fields of industry, while medical researchers have long been interested in mechanical models to describe the pulse wave in blood vessels. The relevance of the theoretical aspects of pressure-wave propagation is well recognized in research on cardiovascular mechanics, cardiophony and atherogenesis. In modelling, any realistic model for the dynamic behaviour of blood vessels should include the effects of transmural pressure, axial stretch, and the orthotropy and viscoelasticity of the wall. However the author of this paper has found only a single contribution (Maxwell & Anliker 1968) where, for an isotropic tube filled with an inviscid liquid, the initial stresses are correctly included. In considering the blood flow through large arteries or the low-frequency flow of liquids through rubber or soft plastic tubes, the long-wavelength approximation can be applied. For flow through arteries it is seen to be valid in vivo (Pedley 1980; Kuiken 1984). Consequently, linearized equations of motion are used. Further, the membrane equations of linear shell theory are used to describe the motion of the wall, where the terms that account for the effects of the initial stresses can be obtained from the theory of buckling of thin-walled shells. The results obtained for the infinite tube reveals that the initial stresses observed in real arteries are favourable for the pulsatile flow in a number of aspects. The problem of wave propagation through a semi-infinite tube is an initial-value problem. The results show that the speed of propagation and the attenuation," @default.
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• W3013862016 date "1983-04-01" @default.
• W3013862016 modified "2023-09-26" @default.
• W3013862016 title "Wave propagation in a thin walled liquid filled initially stressed tube" @default.
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