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Blood rheology is completely determined by its major corpuscles which are erythrocytes,
or red blood cells (RBCs). That is why understanding and correct mathematical description
of RBCs behavior in blood is a critical step in modelling the blood dynamics. Various
phenomena provided by RBCs such as aggregation, deformation, shear-induced diffusion and
non-uniform radial distribution affect the passage of blood through the vessels. Hence,
they have...
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....
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