A method of characteristics for one-dimensional fluid flow in viscoelastic tubes

Korade, Ivan and Virag, Zdravko and Šavar, Mario (2012) A method of characteristics for one-dimensional fluid flow in viscoelastic tubes. = A method of characteristics for one-dimensional fluid flow in viscoelastic tubes. In: 7th International Congress of Croatian Society of Mechanics, 22-25.05.2012., Zadar, Hrvatska.

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Official URL: http://bib.irb.hr/prikazi-rad?rad=608080

Abstract

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.

Item Type: Conference or Workshop Item (Poster)
Keywords (Croatian): blood flow, human arterial tree, one-dimensional flow, viscoelastic, blood vessels, method of characteristics
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 1400 Department of fluid mechanics > 1410 Chair of computer fluid mechanics
500 Department of Energy, Power Engineering and Environment > 520 Chair of Fluid Mechanics
Indexed in Web of Science: No
Indexed in Current Contents: No
Date Deposited: 08 Apr 2016 10:43
Last Modified: 05 Jun 2017 11:02
URI: http://repozitorij.fsb.hr/id/eprint/5511

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