Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011Complex Fluids
|Page(s)||1 - 24|
|Published online||10 August 2011|
Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
Department of Technical Mathematics, Faculty of Mechanical
Engineering Czech Technical University, Náměstí 13, 121 35
Prague 2, Czech
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
⋆ Corresponding author. E-mail: email@example.com
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.
Mathematics Subject Classification: 76A10 / 76M12 / 76Z05
Key words: blood rheology / viscoelasticity / stenosis / curved vessel / secondary flows
© EDP Sciences, 2011
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