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

Published online by Cambridge University Press:  10 August 2011

T. Bodnár ,
K.R. Rajagopal  and
A. Sequeira
T. Bodnár
Affiliation:
Department of Technical Mathematics, Faculty of Mechanical Engineering Czech Technical University, Náměstí 13, 121 35 Prague 2, Czech Republic
K.R. Rajagopal
Affiliation:
Department of Mechanical Engineering, Texas A & M University College Station, TX 77843-3123, USA
A. Sequeira*
Affiliation:
Department of Mathematics and CEMAT/IST, Instituto Superior Técnico Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
*
⋆ Corresponding author. E-mail: adelia.sequeira@math.ist.utl.pt
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Abstract

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

Keywords

blood rheologyviscoelasticitystenosiscurved vesselsecondary flows
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 5: Complex Fluids , 2011 , pp. 1 - 24
Copyright
© EDP Sciences, 2011

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