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Biomedical Technology pp 169–183Cite as

Computational Comparison Between Newtonian and Non-Newtonian Blood Rheologies in Stenotic Vessels

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Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 84))

Abstract

This work aims at investigating the influence of non-Newtonian blood rheology on the hemodynamics of 3D patient-specific stenotic vessels, by means of a comparison of some numerical results with the Newtonian case. In particular, we consider two carotid arteries with severe stenosis and a stenotic coronary artery treated with a bypass graft, in which we virtually vary the degree of stenosis. We perform unsteady numerical simulations based on the Finite Element method using the Carreau-Yasuda model to describe the non-Newtonian blood rheology. Our results show that velocity, vorticity and wall shear stress distributions are moderately influenced by the non-Newtonian model in case of stenotic carotid arteries. On the other hand, we observed that a non-Newtonian model seems to be important in case of stenotic coronary arteries, in particular to compute the relative residence time which is greatly affected by the rheological model.

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Notes

  1. 1.

    We recall that the vorticity, \(\mathbf{\omega }\), is defined as \(\mathbf{\omega } = \nabla \times \mathbf{u}\).

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Authors and Affiliations

  1. MOX, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy

    Bruno Guerciotti & Christian Vergara

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  1. Bruno Guerciotti
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  2. Christian Vergara
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Correspondence to Christian Vergara .

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Editors and Affiliations

  1. Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

  2. Hals-Nasen-Ohrenklinik, Medical School Hannover, Hannover, Germany

    Thomas Lenarz

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Guerciotti, B., Vergara, C. (2018). Computational Comparison Between Newtonian and Non-Newtonian Blood Rheologies in Stenotic Vessels. In: Wriggers, P., Lenarz, T. (eds) Biomedical Technology. Lecture Notes in Applied and Computational Mechanics, vol 84. Springer, Cham. https://doi.org/10.1007/978-3-319-59548-1_10

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  • DOI: https://doi.org/10.1007/978-3-319-59548-1_10

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  • Online ISBN: 978-3-319-59548-1

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