title: Mathematical modelling of pulsativе blood flow in deformable arteries
metadata.name: dc.contributor.author
metadata.value: Tregubov, Vladimir P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ratkina, Svetlana V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-18T12:08:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-18T12:08:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tregubov V.P., Rutkina S.V. Mathematical modelling of pulsativе blood flow in deformable arteries. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 2, pp. 158–164.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10446
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The comprehensive analysis of structure and properties was performed for the blood and
  blood vessels. This analysis shows that the blood may be considered as a liquid only in large
  and middle vessels, where a diameter of vessel is much more than a dimension of blood
  cells and their aggregates. In addition, taking into account the influence of complex internal
  structure on its mechanical properties, it is necessary to consider it as a non-Newtonian liquid.
  In this regard, the non-Newtonian liquid with the power connection of the stress tensor with
  the strain velocity tensor was chosen for mathematical modelling of liquid. The pulsating flow
  is created by the pulsating nature of the boundary condition for the blood flow at the input
  cross-section. The vessels are considered as thick-walled cylinders with hyperelastic walls.
  The interaction between blood and vessel wall is defined by means of semi-slip boundary
  condition. Computer simulation was performed in software complex ANSYS with the use of
  the direct conjugating module CFX and the module ANSYS “Multiphysics”. As a result, the
  pressure and stress wave propagation on the vessel wall was obtained.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 14; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: mathematical modelling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pulsating blood flow
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-Newtonian liquid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: deformable blood vessels
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modelling of pulsativе blood flow in deformable arteries
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 08-Tregubov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10446/1/08-Tregubov.pdf
resources.format: Adobe PDF
resources.size: 778,47 kB