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Effects of shear-dependent viscosity and hematocrit on blood flow

Author

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  • Ameenuddin, Mohammed
  • Anand, Mohan
  • Massoudi, Mehrdad

Abstract

In this paper, we have proposed a new non-linear constitutive model for blood with a viscosity which depends on the shear rate and the volume fraction of red blood cells or RBCs (hematocrit). The viscosity correlation is obtained from the experimental data reported in the literature. The governing equations for flow between two flat plates are made dimensionless and solved numerically. A parametric study is performed to study the effect of the four non-dimensional numbers K1 (a relative measure of the pressure gradient to viscous forces), K2 (a relative measure of gravitational force to pressure gradient in the direction of the gravity), N (dimensionless average hematocrit of blood), and ϕm (maximum packing fraction of RBCs). The results show good qualitative agreement with other studies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:356:y:2019:i:c:p:299-311
    DOI: 10.1016/j.amc.2019.03.028
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    References listed on IDEAS

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    1. Ling Miao & Mehrdad Massoudi, 2015. "Effects of Shear Dependent Viscosity and Variable Thermal Conductivity on the Flow and Heat Transfer in a Slurry," Energies, MDPI, vol. 8(10), pages 1-29, October.
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    Cited by:

    1. 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).
    2. 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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