Issues

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1995

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February

  

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.

Fulltext is available at IOP
PACS: 87.45.-k
DOI: 10.1070/PU1995v038n02ABEH000069
URL: https://ufn.ru/en/articles/1995/2/c/
Citation: Volobuev A N "Fluid flow in tubes with elastic walls" Phys. Usp. 38 169–178 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks
@article{Volobuev:1995,
	author = {A. N. Volobuev},
	title = {Fluid flow in tubes with elastic walls},
	publisher = {Physics-Uspekhi},
	year = {1995},
	journal = {Phys. Usp.},
	volume = {38},
	number = {2},
	pages = {169-178},
	url = {https://ufn.ru/en/articles/1995/2/c/},
	doi = {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

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