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Comparison of inviscid and viscid one-dimensional models of blood flow in arteries

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  • Krivovichev, Gerasim V.

Abstract

The paper is devoted to the comparison of one-dimensional blood flow models in application to the solution of model problems. In the viscid case, the non-Newtonian properties of blood are considered. Original one-dimensional models, based on the Carreau, Carreau–Yasuda, Cross, and Powell–Eyring rheological models, are constructed by the averaging of the Navier–Stokes equations.

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  • 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).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009395
    DOI: 10.1016/j.amc.2021.126856
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    References listed on IDEAS

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    1. Spiller, C. & Toro, E.F. & Vázquez-Cendón, M.E. & Contarino, C., 2017. "On the exact solution of the Riemann problem for blood flow in human veins, including collapse," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 178-189.
    2. Zaman, A. & Ali, N. & Sajid, M., 2017. "Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 1-16.
    3. Xiaofei Wang & Jose-Maria Fullana & Pierre-Yves Lagrée, 2015. "Verification and comparison of four numerical schemes for a 1D viscoelastic blood flow model," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(15), pages 1704-1725, November.
    4. Ameenuddin, Mohammed & Anand, Mohan & Massoudi, Mehrdad, 2019. "Effects of shear-dependent viscosity and hematocrit on blood flow," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 299-311.
    5. Li, Yong-Min & Sedeh, Shahab Naghdi & Toghraie, Davood & Alizadeh, As’ad, 2021. "Computational hemodynamics and thermal analysis of laminar blood flow for different types of hypertension," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 330-341.
    6. 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.
    7. Taha Sochi, 2016. "The flow of power law fluids in elastic networks and porous media," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(3), pages 324-329, February.
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    Cited by:

    1. Anco, Stephen C. & Garrido, Tamara M. & Márquez, Almudena P. & Gandarias, María L., 2023. "Exact solutions and conservation laws of a one-dimensional PDE model for a blood vessel," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Gerasim V. Krivovichev, 2022. "On the Effects of Boundary Conditions in One-Dimensional Models of Hemodynamics," Mathematics, MDPI, vol. 10(21), pages 1-14, November.

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