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Wave propagation and flow velocity profiles in compliant tubes

  • Biomechanics
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Abstract

Wave propagation in compliant tubes filled with streaming fluids is usually handled with the method of characteristics. The latter refies however on one-dimensional flows, so violating the no-slip condition that real fluids satisfy on solid walls. The impact of this one-dimensional simplification has apparently not been investigated, which justifies the present two-dimensional approach. Here, a steady, inviscid and incompressible basic flow of arbitrary velocity profile Uo(r) and arbitrary cross-sectional mean velocity Ūo streams in a long, uniform, thin walled, compliant tube. The propagation of long-wavelength, small-amplitude perturbations is studied with a normal mode analysis. Analytical solutions show the importance of Uo(r). For example, if Uo(r) satisties the no-slip condition, then upstream wave propagation occurs regardless of Ūo. This questions the one-dimensional wave propagation theory and could possibly influence the interpretation of several physiological experimental data relying upon it, mainly in the vascular and respiratory systems.

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  1. Institut de Physiologie, Faculté de Médecine, Université de Lausanne, rue du Bugnon 7, CH-1005, Lausanne, Switzerland

    E. Dardel

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  1. E. Dardel
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Dardel, E. Wave propagation and flow velocity profiles in compliant tubes. Med. Biol. Eng. Comput. 26, 46–49 (1988). https://doi.org/10.1007/BF02441827

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  • DOI: https://doi.org/10.1007/BF02441827

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