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Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery

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  • Zaman, A.
  • Ali, N.
  • Sajid, M.

Abstract

Pulsatile flow of blood through a porous-saturated stenotic artery has been studied under the influence of periodic body acceleration. The constitutive equation of Cross model is considered to characterize the blood and also modified form of Darcy’s law applicable to Cross model is used in this study. The shape of the stenosis in the arterial lumen is chosen to be overlapping w-shape. The present analysis models the pathological situation in which blood flows through an artery filled with blood clots and fatty cholesterol. In order to obtain the numerical solution, the modeled partial differential equation are normalized and then solved by using finite difference method. Numerical results are calculated for thorough investigation of the effects of porous medium on velocity, impedance, wall shear stress and flow rate. Calculations reveal that velocity, flow rate and shear stress increase while resistance to flow decreases with greater permeability parameter. Furthermore, the size of trapped bolus of fluid is also found to be reduced for large values of the permeability parameter indicating that progressively more porous media avoid bolus growth.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:134:y:2017:i:c:p:1-16
    DOI: 10.1016/j.matcom.2016.09.008
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    Cited by:

    1. Mădălina Sofia Paşca & Olivia Bundău & Adina Juratoni & Bogdan Căruntu, 2022. "The Least Squares Homotopy Perturbation Method for Systems of Differential Equations with Application to a Blood Flow Model," Mathematics, MDPI, vol. 10(4), pages 1-14, February.
    2. Zaman, Akbar & Ali, Nasir & Khan, Ambreen Afsar, 2020. "Computational biomedical simulations of hybrid nanoparticles on unsteady blood hemodynamics in a stenotic artery," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 169(C), pages 117-132.
    3. 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).
    4. Raju, C.S.K. & Basha, H. Thameem & Noor, N.F.M. & Shah, Nehad Ali & Yook, Se-Jin, 2024. "Significance of body acceleration and gold nanoparticles through blood flow in an uneven/composite inclined stenosis artery: A finite difference computation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 399-419.

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