ISSN:
1741-0444
Keywords:
Expiratory flow limitation
;
Haemodynamics
;
Modelling
;
Pulsatile flow
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Chemistry and Pharmacology
,
Medicine
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02441827
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