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Computational Modeling of Non-Newtonian Blood Flow Through Stenosed Arteries in the Presence of Magnetic Field

[+] Author and Article Information
Aiman Alshare

Assistant Professor
Department of Mechatronics Engineering,
German Jordanian University,
Amman 11180, Jordan

Bourhan Tashtoush

Professor
Department of Mechanical Engineering,
Jordan University of Science and Technology,
Irbid 22110, Jordan

Hossam H. El-Khalil

Assistant Professor
Department of Biomedical Engineering,
Jordan University of Science and Technology,
Irbid 22110, Jordan

1Corresponding author.

Contributed by the Bioengineering Division of ASME for publication in the Journal of Biomechanical Engineering. Manuscript received January 13, 2013; final manuscript received June 24, 2013; accepted manuscript posted July 29, 2013; published online September 23, 2013. Assoc. Editor: Ram Devireddy.

J Biomech Eng 135(11), 114503 (Sep 23, 2013) (6 pages) Paper No: BIO-13-1017; doi: 10.1115/1.4025107 History: Received January 13, 2013; Revised June 24, 2013; Accepted July 29, 2013

Steady flow simulations of blood flow in an axisymmetric stenosed artery, subjected to a static magnetic field, are performed to investigate the influence of artery size, magnetic field strength, and non-Newtonian behavior on artery wall shear stress and pressure drop in the stenosed section. It is found that wall shear stress and pressure drop increase by decreasing artery size, assuming non-Newtonian fluid, and increasing magnetic field strength. In the computations, the shear thinning behavior of blood is accounted for by the Carreau–Yasuda model. Computational results are compared and found to be inline with available experimental data.

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Figures

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Fig. 1

(a) Effects of artery size on shear; artery diameter, 2.5 mm, 5 mm, and 10 mm; moderate stenosis, α, 0.3; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian. (b) Effect of artery size on shear; artery diameter, 2.5 mm, 5 mm, and 10 mm; severe stenosis, α, 0.5; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian.

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Fig. 2

Velocity magnitude contours, strain rate contours, and dynamic viscosity contours. Artery size, 5 mm; moderate stenosis, α, 0.3; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian (radial direction is scaled up by a factor of 5 for better demonstration).

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Fig. 3

Effect of viscosity on shear; artery size, 5 mm; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, Newtonian and non-Newtonian

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Fig. 4

Effect of magnetic field on shear; artery size, 10 mm; magnetic field, 0 and 8 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian

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Fig. 5

Effects of artery size on pressure; artery diameter 2.5 mm, 5 mm, and 10 mm; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian

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Fig. 6

Effect of viscosity on pressure; artery size, 5 mm; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, Newtonian & non-Newtonian

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Fig. 7

Effect of magnetic field on pressure; artery size, 10 mm; magnetic field, 0 and 8 T; average inlet velocity, 0.169 m/s; viscosity, non-Newtonian

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Fig. 8

Effect of viscosity on axial velocity profile; artery size, 5 mm; magnetic field, 4 T; average inlet velocity, 0.169 m/s; viscosity, Newtonian and non-Newtonian

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