Geodesic
Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
T. Bodnár1 ; K.R. Rajagopal2 ; A. Sequeira3
1 Department of Technical Mathematics, Faculty of Mechanical Engineering Czech Technical University, Náměstí 13, 121 35 Prague 2, Czech Republic
2 Department of Mechanical Engineering, Texas A & M University College Station, TX 77843-3123, USA
3 Department of Mathematics and CEMAT/IST, Instituto Superior Técnico Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 1-24.

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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.
DOI : 10.1051/mmnp/20116501

T. Bodnár 1 ; K.R. Rajagopal 2 ; A. Sequeira 3

1 Department of Technical Mathematics, Faculty of Mechanical Engineering Czech Technical University, Náměstí 13, 121 35 Prague 2, Czech Republic
2 Department of Mechanical Engineering, Texas A & M University College Station, TX 77843-3123, USA
3 Department of Mathematics and CEMAT/IST, Instituto Superior Técnico Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal 
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T. Bodnár; K.R. Rajagopal; A. Sequeira. Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 1-24. doi : 10.1051/mmnp/20116501. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116501/

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