Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 11, Pages 5055-5067Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.07.054
Keywords
Non-Newtonian; Viscoelastic; Oldroyd-B; Finite-volume; Blood flow
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The aim of this paper is to describe and discuss the results of numerical comparative study performed in order to demonstrate and quantify some of the most relevant non-Newtonian characteristics of blood flow in medium-sized blood vessels, namely its shear-thinning and viscoelastic behavior. The models studied in this work are the classical Newtonian and Oldroyd-B models, as well as their generalized (shear-thinning) modifications. Numerical tests are performed on three-dimensional geometries, namely an idealized axisymmetric stenosis and a realistic stenosed carotid bifurcation reconstructed from medical images. The numerical solution of the system of governing equations is obtained by a finite-volume method on a structured grid. Model sensitivity tests are achieved with respect to the characteristic flow rate to evaluate its impact on the observed non-Newtonian effects. (C) 2010 Elsevier Inc. All rights reserved.
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