Reviews of topical problems

Fluid flow in tubes with elastic walls

Samara State Medical University, ul. Chapaevskaya 89, Samara, 443099, Russian Federation

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.

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Fulltext is also available at DOI: 10.1070/PU1995v038n02ABEH000069
PACS: 87.45.-k
DOI: 10.1070/PU1995v038n02ABEH000069
Citation: Volobuev A N "Fluid flow in tubes with elastic walls" Phys. Usp. 38 169–178 (1995)
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Оригинал: Волобуев А Н «Течение жидкости в трубках с эластичными стенками» УФН 165 177–186 (1995); DOI: 10.3367/UFNr.0165.199502c.0177

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