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Numerical simulation of blood flow in abdominal aortic aneurysms: Effects of blood shear-thinning and viscoelastic properties

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  • Elhanafy, Ahmed
  • Guaily, Amr
  • Elsaid, Ahmed

Abstract

In this study numerical simulation of blood flow in abdominal aortic aneurysms is presented. The novelty in this study is the consideration of the blood viscoelastic properties to account for the presence of red blood cells in addition to the shear-thinning behavior. The Oldroyd-B model is used to account for the viscoelasticity while the Carreau–Yasuda model is used to represent the shear-thinning property. The artery with its aneurysms is modeled as a planar channel with rigid wavy walls. The governing equations are solved numerically using the Galerkin/least-squares finite element method. Results are obtained for different values of flow rate under steady conditions. Our results assert that the blood shear-thinning behavior and viscoelasticity cannot be neglected especially for low shear rates conditions.

Suggested Citation

  • Elhanafy, Ahmed & Guaily, Amr & Elsaid, Ahmed, 2019. "Numerical simulation of blood flow in abdominal aortic aneurysms: Effects of blood shear-thinning and viscoelastic properties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 160(C), pages 55-71.
    • Handle: RePEc:eee:matcom:v:160:y:2019:i:c:p:55-71
    DOI: 10.1016/j.matcom.2018.12.002
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    References listed on IDEAS

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    1. Christine M. Scotti & Jorge Jimenez & Satish C. Muluk & Ender A. Finol, 2008. "Wall stress and flow dynamics in abdominal aortic aneurysms: finite element analysis vs. fluid–structure interaction," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 11(3), pages 301-322.
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    Cited by:

    1. Bhaumik, Bivas & De, Soumen & Changdar, Satyasaran, 2024. "Deep learning based solution of nonlinear partial differential equations arising in the process of arterial blood flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 21-36.
    2. Krivovichev, Gerasim V., 2022. "Comparison of inviscid and viscid one-dimensional models of blood flow in arteries," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    3. Gerasim Vladimirovich Krivovichev, 2021. "Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics," Mathematics, MDPI, vol. 9(19), pages 1-16, October.

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