Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model

T. Bodnár; K.R. Rajagopal; A. Sequeira

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 5, page 1-24
  • ISSN: 0973-5348

Abstract

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This paper is concerned with the numerical simulation of a thermodynamically compatible viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological response of blood, under physiological conditions. Numerical simulations are performed in two idealized three-dimensional geometries, a stenosis and a curved vessel, to investigate the combined effects of flow inertia, viscosity and viscoelasticity in these geometries. The aim of this work is to provide new insights into the modeling and simulation of homogeneous rheological models for blood and a basis for further developments in modeling and prediction.

How to cite

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Bodnár, T., Rajagopal, K.R., and Sequeira, A.. "Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model." Mathematical Modelling of Natural Phenomena 6.5 (2011): 1-24. <http://eudml.org/doc/222247>.

@article{Bodnár2011,
abstract = {This paper is concerned with the numerical simulation of a thermodynamically compatible viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological response of blood, under physiological conditions. Numerical simulations are performed in two idealized three-dimensional geometries, a stenosis and a curved vessel, to investigate the combined effects of flow inertia, viscosity and viscoelasticity in these geometries. The aim of this work is to provide new insights into the modeling and simulation of homogeneous rheological models for blood and a basis for further developments in modeling and prediction. },
author = {Bodnár, T., Rajagopal, K.R., Sequeira, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {blood rheology; viscoelasticity; stenosis; curved vessel; secondary flows},
language = {eng},
month = {8},
number = {5},
pages = {1-24},
publisher = {EDP Sciences},
title = {Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model},
url = {http://eudml.org/doc/222247},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Bodnár, T.
AU - Rajagopal, K.R.
AU - Sequeira, A.
TI - Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/8//
PB - EDP Sciences
VL - 6
IS - 5
SP - 1
EP - 24
AB - This paper is concerned with the numerical simulation of a thermodynamically compatible viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological response of blood, under physiological conditions. Numerical simulations are performed in two idealized three-dimensional geometries, a stenosis and a curved vessel, to investigate the combined effects of flow inertia, viscosity and viscoelasticity in these geometries. The aim of this work is to provide new insights into the modeling and simulation of homogeneous rheological models for blood and a basis for further developments in modeling and prediction.
LA - eng
KW - blood rheology; viscoelasticity; stenosis; curved vessel; secondary flows
UR - http://eudml.org/doc/222247
ER -

References

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