Naslov
A METHOD OF CHARACTERISTICS FOR ONE-DIMENSIONAL FLUID FLOW IN VISCOELASTIC TUBES

Autori
Korade, Ivan ; Virag, Zdravko ; Šavar, Mario

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
7th International Congress of Croatian Society of Mechanics, Book of Abstracts / Virag, Zdravko ; Kozmar, Hrvoje ; Smojver, Ivica - Zagreb : Studio Hrg, 2012, 49-50

ISBN
9789536986057

Skup
7th International Congress of Croatian Society of Mechanics

Mjesto i datum
Zadar, Hrvatska, 22.05.2012. - 25.05.2012

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
blood flow; human arterial tree; one-dimensional flow; viscoelastic; blood vessels; method of characteristics

Sažetak
The blood flow in the human arterial tree, may be considered as one-dimensional flow in a network of visco-elastic blood vessels. An one-dimensional model is a good compromise between lumped and three-dimensional models. In case of an elastic vessel wall, the governing equations are of hyperbolic type, and can be solved by the method of characteristics. In case of a viscoelastic wall, equations are of elliptic type due to the term describing wall viscosity. Here we extend the method of characteristics to the case of a viscoelastic wall, with the wall viscosity term treated explicitly, through the source term. The developed method is stable and efficient as in a case of elastic model. The developed method of characteristics for a viscoelastic tube is physically clear and efficient as in the case of an elastic tube. For its application to the arterial tree it should be extended from a tube to the tree structure and it should be taken into account that the compliance depends on the pressure.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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