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Numerical Study of the Significance of the Non-Newtonian Nature of Blood in Steady Flow Through a Stenosed Vessel

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Abstract

In this paper we present a comparative numerical study of non-Newtonian shear-thinning and viscoelastic blood flow models through an idealized stenosis. Three-dimensional numerical simulations are performed using a finite volume semidiscretization in space, on structured grids, and a multistage Runge-Kutta scheme for time integration, to investigate the influence of combined effects of inertia, viscosity and viscoelasticity in this particular geometry. This work lays the foundation for future applications to pulsatile flows in stenosed vessels using constitutive models capturing the rheological response of blood, under relevant physiological conditions.

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Authors and Affiliations

  1. Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University, 121 35, Prague 2, Czech Republic

    Tomáš Bodnár

  2. Department of Mathematics and CEMAT, Instituto Superior Técnico, Technical University of Lisbon, 1049–001, Lisbon, Portugal

    Adélia Sequeira

Authors
  1. Tomáš Bodnár
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  2. Adélia Sequeira
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Correspondence to Adélia Sequeira .

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Editors and Affiliations

  1. Interdisziplinäres Zentrum für, Universität Heidelberg, Im Neuenheimer Feld 368, Heidelberg, 69120, Germany

    Rolf Rannacher

  2. Depto. Mathemática, Istituto Superior Técnico, Av. Rovisco Pais, Lisboa, 1049-001, Portugal

    Adélia Sequeira

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Bodnár, T., Sequeira, A. (2010). Numerical Study of the Significance of the Non-Newtonian Nature of Blood in Steady Flow Through a Stenosed Vessel. In: Rannacher, R., Sequeira, A. (eds) Advances in Mathematical Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04068-9_6

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