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Journal Articles Journal of King Saud University - Computer and Information Sciences Year : 2019

Mathematical and numerical study of the concentration effect of red cells in blood

Mourad Chamekh
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Nabiha Brik
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Abstract

In this paper, a mathematical and numerical study of the effect of red blood cell concentration on a circular cross section tube is presented. The considered PDE system use the Bingham model describing blood as a non-Newtonian fluid. This system consists of Navier-Stokes equations describing the behavior of fluid and advection-reaction-diffusion equations that take into account the influence of chemical reactions on transient flow behavior in the arteries. Finally, numerical tests are presented to treat blood flow in the case of fusiform aneurysms caused by abdominal aortic aneurysm disease.
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Dates and versions

hal-02550504 , version 1 (28-04-2020)

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Mourad Chamekh, Nabiha Brik, Malek Abid. Mathematical and numerical study of the concentration effect of red cells in blood. Journal of King Saud University - Computer and Information Sciences, 2019, 31 (4), pp.1463-1470. ⟨10.1016/j.jksus.2018.11.004⟩. ⟨hal-02550504⟩
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