Fluid flow in tubes with elastic walls

Physico-mathematical aspects of fluid flow in elastic thin-walled tubes have been examined and nonlinear equations describing it have been derived and solved. It is shown that an auto-oscillating flow-regime (flutter) can occur and mathematical models of solitons (pulse waves) based on the Korteveg-de Vries equation and on the modified nonlinear Schroedinger equation have been developed. The appropriateness of using the elastic thin-walled tube model for the description of blood flow in major blood vessels is discussed.

PACS: 87.45.-k
DOI: 10.1070/PU1995v038n02ABEH000069
URL: https://ufn.ru/en/articles/1995/2/c/
Web of Science

A1995QR33900003
Citation: Volobuev A N "Fluid flow in tubes with elastic walls" Phys. Usp. 38 169–178 (1995)

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%0 Journal Article
%T Fluid flow in tubes with elastic walls
%A A. N. Volobuev
%I Physics-Uspekhi
%D 1995
%J Phys. Usp.
%V 38
%N 2
%P 169-178
%U https://ufn.ru/en/articles/1995/2/c/
%U https://doi.org/10.1070/PU1995v038n02ABEH000069

Оригинал: Волобуев А Н «Течение жидкости в трубках с эластичными стенками» УФН 165 177–186 (1995); DOI: 10.3367/UFNr.0165.199502c.0177