文章基本信息

标题：Mathematical and numerical study of the concentration effect of red cells in blood
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作者：Mourad Chamekh ; Nabiha Brik ; Malek Abid 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2019
卷号：31
期号：4
页码：1463-1470
DOI：10.1016/j.jksus.2018.11.004
语种：English
出版社：Elsevier
摘要：AbstractIn 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. In particular, we present for this problem a local existence result. Finally, numerical tests are presented to treat blood flow in the case of fusiform aneurysms caused by abdominal aortic aneurysm disease.
关键词：Bingham model;Advection-diffusion-reaction equation;Abdominal aortic aneurysm;Papanastasiou regularization